MATFEM Publications and Speeches
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MATFEM Publications and Speeches
MATFEM Partnerschaft Dr. Gese & Oberhofer Maschinenbauingenieure Publications and Speeches Veröffentlichungen und Vorträge February 2016 MATFEM Nederlingerstrasse 1 D-80638 München Tel.: (089) 1 59 89 79-0 Fax: (089) 1 59 89 79-9 http://www.matfem.de F. Brenner H. Gese H. Dell G. Oberhofer Use of Specific Models for Creep, Plasticity and Fracture in Forming and Crashworthiness Simulation via UCREEP and VUMAT G. Metzmacher Deutsche SIMULIA-Konferenz, 12.–13. November 2015, Aachen MATFEM Partnerschaft Dr. Gese & Oberhofer, München, Germany For the layout of various cold and non-isothermal forming processes and for the predictive crashworthiness simulations of metals it is essential to describe all relevant aspects of material behavior. Depending on the alloy and the simulated loading various aspects like creep, plasticity, hardening and fracture as well as strain-rate and temperature dependency must be accounted for. Three examples are presented in which forming behavior and failure prediction is significantly improved by coupling specific user subroutines to Abaqus/Standard or Abaqus/Explicit. For the simulation of a hot forming process of fuselage panels with inherent stress relaxation a temperature dependent material model with orthotropic plasticity and orthotropic creep is used. Due to the large temperature range in the process, numerous basic material tests are required to derive the numerical material model. A UCREEP-routine that describes the creep behavior of the AlMg sheets is used as none of the implemented creep models is able to represent the relaxation behavior which is found in the test satisfactorily. A multiple bending operation on a dental implant is simulated using Abaqus/Explicit and the user subroutine VUMAT with the material model MF GenYld + CrachFEM. The material model is capable of describing the pronounced asymmetry of the yield stress in tension and compression for the titanium alloy under consideration on the one hand and of rating the load reversals correctly when accumulating damage with a tensorial model on the other hand. Both effects must be taken into account to allow for an accurate prediction of the fracture risk. Due to the process design light metal extrusion exhibit a distinct orthotropy in the plastic regime and in their fracture limits with typically a minimum ductility transverse to the extrusion direction. As currently no models for orthotropic fracture are available in commercial FEA codes, the user material model MF GenYld + CrachFEM is coupled to Abaqus/Explicit for the crash simulation of a double chambered profile. M. Buckley1 M. Reissner2 G. Oberhofer2 H. Gese2 10th European LS-DYNA Conference, Würzburg, Germany (1) Jaguar Land Rover Limited, Gaydon, United Kingdom (2) MATFEM Partnerschaft Dr. Gese & Oberhofer, München, Germany Simulation of the manufacturing process of self-piercing rivets with LS-DYNA with focus on failure prediction for sheets and rivet Some activities on the use of 2d-rotional symmetric elements with r-adaptivity for the simulation of the manufacturing process of self-piercing rivets have been already published in LS-DYNA user meetings in the last years. The focus of the research work in this paper was an improved prediction of material failure in this simulation environment. The functionality of r-adaptivity in LSDYNA includes a geometric criterion for the splitting of the upper sheet during the riveting process. The geometric criterion is defined by a residual thickness of the upper sheet for which elements are deleted to finally split this sheet. This approach might give acceptable results for very ductile sheet qualities (e.g. mild and high strength steels). However for aluminium sheets and AHSS grades the upper sheet may be split earlier due to limited ductility. Also there is a risk for fracture in the lower sheet which has to be estimated with an appropriate fracture model. In case of riveting AHSS grades there is also a chance of a rivet fracture. In a first attempt the numerical parameters for r-adaptivity of 2d-rotational symmetric elements have been optimized to ensure correct results (e.g. fulfill volume constancy of the sheets). In a second step the user material model MF GenYld + CrachFEM with failure criteria for ductile normal fracture (DNF) and ductile shear fracture (DSF) has been introduced to allow for a damage accumulation in the sheet materials and the rivet material. Besides an improved prediction of the sheet failure of the upper sheet, the failure criteria also allow to estimate the margin of safety for a fracture of the rivet and the lower sheet. The accumulated damage in sheets and rivet can be used later on for simulations of virtual mechanical tests on the riveted structure (e.g. to derive strength values for crashworthiness simulation). G. Oberhofer M. Oehm crashMAT 2015, 7. Freiburger Workshop zum Werkstoff- und Strukturverhalten bei Crashvorgängen 21–22 April 2015, Fraunhofer EMI, Freiburg MATFEM Partnerschaft Dr. Gese & Oberhofer, München, Germany Modelling Failure of Short Fiber Reinforced Thermoplastics with Respect to Local Degree of Fiber Orientation This speech was a slides-only presentation, for which there is no abstract available. H. Gese F. Brenner G. Oberhofer Automotive CAE Grand Challenge 2015 31 March – 1 April, 2015 Hanau, Germany MATFEM Partnerschaft Dr. Gese & Oberhofer, München, Germany Crashworthiness simulation of high pressure die cast aluminum alloys and aluminum extrusions with MF GenYld + CrachFEM This speech was a slides-only presentation, for which there is no abstract available. M. Oehm A. Heath H. Dell New features in material model MF GenYld + CrachFEM for sheet metal forming simulation H. Gese Automotive CAE Grand Challenge 2015 31 March – 1 April, 2015 Hanau, Germany MATFEM Partnerschaft Dr. Gese & Oberhofer, München, Germany This speech was a slides-only presentation, for which there is no abstract available. H. Gese Technisch- wissenschaftliche Seminarreihe Hochleistungsstrukturen im Leichtbau, Hochschule München, 12. November 2014 MATFEM Partnerschaft Dr. Gese & Oberhofer, München, Germany Verbesserte Abbildung von Leichtbauwerkstoffen mit einem modularen Materialmodell Zu desem Vortrag gibt es keine Zusammenfassung. H. Gese International CAE Conference 2014, Pacengo del Garda, Verona, 27–28 October 2014 MATFEM Partnerschaft Dr. Gese & Oberhofer, München, Germany Failure Prediction of Quenched Boron Steels in Crashworthiness Simulation The criteria for passenger safety have been tightened step by step in the last years. This has caused a wide use of quenched boron steels for the passenger cab design, especially for A-pillar and B-pillar. Meanwhile also components with tailored tempering are used to adapt the material properties according to local needs. The introduction of those boron steels has brought some new challenges for the numerical simulation. In the field of crashworthiness simulation a predictive simulation of quenched boron steel components without a comprehensive assessment of material failure ? including failure initiated from spot welds – is not possible. The material model MF GenYld+CrachFEM – can be used together with all major explicit finite element codes for crashworthiness simulation via the user material interface – provides comprehensive failure criteria for quenched boron steels. This includes the prediction of localized necking, ductile normal fracture and ductile shear fracture. It is possible to adapt the material properties locally by a mapping of the hardness provided by the quenching simulation. The material model also provides the possibility to directly model the material failure in the HAZ around spotweld with solids or with a macro model in combination with a shell mesh. The lecture will introduce the material model, discuss the necessary experiments for the parameter identification and will provide simulation examples based on FEA code LSDYNA. H. Gese H. Dell FLC Conference, 6–7 November 2014, IVP, ETH Zurich, Switzerland MATFEM Partnerschaft Dr. Gese & Oberhofer, München, Germany CrachFEM – A Comprehensive Approach for the Numerical Prediction of Instability And Fracture in Sheet Metal Forming Operations The classical forming limit diagram is the most common method in industrial sheet metal forming simulation for predicting possible sheet failure. This criterion is based on the onset of localized necking. Its validity is limited to linear strain paths. For AHSS, UHSS and aluminium sheets fracture can also appear without prior necking. This kind of sheet failure is not covered by the concept of the classical forming limit diagram. Ductile normal fracture and ductile shear fracture – both in-plane and out-ofplane – are two possi-ble fracture modes in sheet materials. Depending on the hardening behavior and ductility of the sheet, shear band instability can precede shear fracture. The module CrachFEM of material model MF GenYld + CrachFEM offers a comprehensive approach for the prediction of material failure in sheet metal forming operations. MF GenYld + CrachFEM can be used for a discretization with shell and solid elements. For a shell discretization it is not possible to resolve the onset of necking directly as the width of the necked region is typically smaller than the edge length of a shell ele-ment. Therefore CrachFEM uses the submodule Crach to model the onset of necking with a detailed discretization of the neck. The module Crach uses a plastic material model which accounts for orthotropic plasticity, isotropic-kinematic hardening and strain rate sensitivity. The discretization is based on an initial imperfection to allow for a realistic prediction of necking. The strain hardening, strain rate sensitivity and the hardening due to change of stress state inside the necked region (change to plane stress condition in neck; increase of stress component normal to sheet, kinematic hardening) contribute to the limit strain for unstable necking. As the main physical effects are accounted for, Crach can also be used in the case of nonlinear strain paths. Necking is detected by the non-convergence of the mechanical model. The strain distribution across the neck at the onset of necking can be analyzed with this numerical model as well. In analogy to the cross-section method, the internal limit strain of algorithm Crach (maximum strain inside the neck at onset of instability) is used as a criterion for sheet metal forming simulations. Besides tensile tests no extra tests are needed to predict the forming limit diagram. For the prediction of fracture (without prior necking) CrachFEM uses phenomenological models for the failure modes ductile normal fracture (DNF) and ductile shear fracture (DSF). DNF accounts for frac-ture which is caused by void growth and void coalescence (in the case of ductile sheets, voids only appear immediately before fracture) with a fracture surface normal to the direction of the first principal strain. DSF accounts for material failure due to shear band localization in the material. This phenomenon can appear for sheets in-plane and out-of-plane. The equivalent plastic strain at fracture as a function of the relevant stress state parameter is used as a failure criterion in the case of linear strain paths. For nonlinear strain paths the initial fracture limit curves are used as master curves for integral damage accumulation laws. In CrachFEM a tensorial description of damage is used. The limit strains for DNF and DSF cannot be predicted from elastoplastic properties as the ductility of metals depends on the microstructure of the material. A set of specimens is needed, which allows the identification of equivalent plastic strains at fracture for defined stress states. In the ideal case the stress state should be constant for the whole deformation of each kind of specimen. A model for the post-instability strain (PIS) completes the current CrachFEM approach in the case of shell discretization. The PIS model accounts for the additional strain in a shell element from the onset of necking until final fracture – by DNF or DSF – inside the neck. The PIS model provides a better assessment of sheet failure – a tensile instability of a single shell element may not develop into a wider neck in a zone with high strain gradients. One focus of new developments in CrachFEM is an improved approach for ductile shear fracture (DSF). For most of the deep drawing sheet materials, shear band localization appears prior to shear fracture. This phe-nomenon has been experimentally monitored for a number of sheet qualities in cooperation with the Insti-tute for Manufacturing Technology at the University Erlangen-Nürnberg. For the prediction of shear band localization in sheet metal forming CrachFEM has been extended by a new algorithm shearIS (shear instability). Potential shear instability is checked for the in-plane and for the out-of-plane orientation. With the new approach it is possible to differentiate between the onset of shear band instability and final fracture in general. As the strain gradient has an influence on the growth of the shear band there are still open issues to be solved. H. Dell1 V. Yelisseyev2 Failure prediction for non-reinforced and short fiber reinforced polymers G. Oberhofer1 13th LS-Dyna Forum 2014, Bamberg, 6–8 October 2014 (1) MATFEM Partnerschaft Dr. Gese & Oberhofer, München, Germany (2) MATTEST, Voronezh, Russian Federation The specific behavior of non-reinforced and short fiber reinforced polymers in case of crash or drop test load cases imposes special demands on the material model as well as the experimental determination of material parameters. If the visco-plastic material characterization accounts for plastic compressible behavior the characterization of material failure must also account for plastic compressible behavior. The relevant material parameters must be adjustment in an appropriate way. In case of short fiber reinforced polymers a significant anisotropy of failure can be observed and this anisotropy has to be considered in addition to the anisotropy of the elasto-visco-plastic behavior. The subsequently described simulation method is based on a phenomenological approach which shows high performance with respect to calculation time and stability. It is therefore well suited for industrial applications. M. Reissner H. Dell H. Gese CrachFEM – A comprehensive approach for the prediction of failure in metallic materials G. Oberhofer 11th World Congress on Computational Mechanics (WCCM XI) and 5th European Conference on Computational Mechanics (ECCM V), July 20–25, 2014, Barcelona, Spain MATFEM Partnerschaft Dr. Gese & Oberhofer, München, Germany With new and increasing applications of advanced metallic materials, for instance Advanced High Strength Steel (AHSS) and light-metal alloys, there are new and different challenges for numerical procedures. Well known is the classical forming limit diagram, which is mainly used in industrial sheet metal forming simulation to predict a possible sheet failure. This criterion is based on the onset of localized necking. Its validity is limited to linear strain paths. Advanced models should be used to achieve also valid predictions for nonlinear cases. For AHSS, aluminium and magnesium components fracture can also appear without prior necking. Depending on the stress state and on the forming history ductile normal fracture or ductile shear fracture can occur. Also the damage accumulation for fracture should be valid in case of a nonlinear strain path. The module CrachFEM of the material model MF GenYld + CrachFEM offers a comprehensive approach to meet all of these challenges. MF GenYld + CrachFEM can be used as a user material model for different commercial explicit-dynamic FE codes. For industrial use the material models offers reliable phenomenological models for the failure modes given above. For academic research and a better understanding of the macroscopic failure phenomena the fracture models can be combined with a damage plasticity model to achieve a more detailed prediction. For a shell discretization it is not possible to resolve the onset of necking directly as the width of the necked region is typically smaller than the edge length of a shell element. Therefore CrachFEM uses the submodule Crach to model the onset of necking with a detailed discretization of the neck. The module Crach uses a plastic material model which accounts for orthotropic plasticity, isotropic-kinematic hardening and strain rate sensitivity. The discretization is based on an initial imperfection to allow for a realistic prediction of necking. The strain hardening, strain rate sensitivity and the hardening due to change of stress state inside the necked region (change to plane stress condition in neck; increase of stress component normal to sheet) contribute to the limit strain for instable necking. As the main physical effects are accounted for, Crach can also be used in case of nonlinear strain paths. Besides tensile tests no extra tests are needed to predict the forming limit diagram. For the prediction of fracture (without prior necking) CrachFEM uses phenomenological models for the phenomena of ductile normal fracture (DNF) and ductile shear fracture (DSF). DNF accounts for a fracture which is caused by void growth and void coalescence (in case of ductile sheets voids do only appear just before fracture) with a fracture surface normal to the direction of the first principal strain. DSF accounts for a shear band localization in the material which is followed by fracture. The equivalent plastic strain at fracture as a function of a relevant stress state parameter is used as a failure criterion in case of linear strain paths. In case of nonlinear strain paths the initial fracture limit curves are used as a master curve for an integral damage accumulation law. In CrachFEM a tensorial description of damage is used. The limit strains for DNF and DSF cannot be predicted based on elastoplastic properties as the ductility of metals depends on the microstructure of the material and must be measured with different kind of specimens. A model for the post-instability strain (PIS) completes the CrachFEM approach in case of shell discretization. The PIS model accounts for the additional strain in a shell element from the onset of necking until final fracture by DNF or DSF inside the neck. For the forming simulation of thick sheets or bulk forming problems CrachFEM can also be used in combination with solid elements. The algorithm Crach for the prediction of instability is not used in this case. Necking must be directly resolved by the FE mesh. The fracture criteria for DNF and DSF in CrachFEM are based on two different stress state parameters beta and theta. Both parameters can be used for a general 3d-stress state as they depend on 2 stress invariants each. As an example for the advantage of the tensorial damage accumulation in fracture models of CrachFEM a cutting process of a sheet edge followed by a forming operation of the sheet is discussed. On a next and even more detailed level the introduction of a damage plasticity model in MF GenYld + CrachFEM (i.e. accumulated damage of CrachFEM influences elastoplastic model in module GenYld) allows also for a mesoscopic modeling of fracture initiation (i.e. development of shear bands) and fracture propagation. The model for damage plasticity has been introduced in line with the model suggested by [3]. However a damage plasticity model causes a mesh dependent solution. Corrective measures are suggested for this problem. Monotonic crack propagation problems in aluminium sheets have been modelled as an example. W. Entelmann1 2 R. Stelling 3 F. Brenner3 G. Metzmacher3 3 H. Gese 7th Forming Technology Forum Warm and Hot Forming, September 15–16, 2014 Enschede, the Netherlands (1) Airbus Operations GmbH, Bremen, Germany (2) Premium Aerotec GmbH, Nordenham, Germany (3) MATFEM Partnerschaft Dr. Gese & Oberhofer, München, Germany Relaxation Forming of Double Curved Fuselage Panels – Assessment of Formability And Optimization of Process Parameters With Numerical Analysis Room temperature stretch forming is the state-of-the-art technology for the manufacturing of double curved fuselage panels for aeroplanes. A new generation of AlMgSc alloys opens up a new manufacturing scenario for those fuselage panels. As the AlMgSc alloys are stable up to temperatures beyond 300 °C a hot forming process with subsequent stress relaxation is possible. Within the research projects NEXXT and INPRO the process of relaxation forming has been investigated both in hardware tests and with numerical simulation. The challenge is the identification of process parameters which avoid an early buckling of the panel and which minimizes the elastic springback finally. The numerical simulation of the forming process allows the ?a priori? optimization of the process parameters. A temperature-dependent material model with orthotropic plasticity and orthotropic creep has been derived. The FEA code ABAQUS/Standard with a user-defined creep law has been used. To identify the two-dimensional geometry that is related to the curved target geometry, an inverse Finite Element simulation is performed in a first step. The actual forming process simulation is based on the derived, flat panel geometry. The stress relaxation and creeping of the metal at elevated temperature must be captured precisely to gain a dependable prediction of buckling as well as springback after successful forming. Real hardware tests are presented and compared to the findings of the simulation approach. A.Heath H. Gese Modeling Failure for Nonlinear Strain Paths With CrachFEM G. Oberhofer H. Dell Numisheet 2014, Melbourne, Australia MATFEM Partnerschaft Dr. Gese & Oberhofer, München, Germany This paper describes a general technique for simulating sheet failure under complex deformation. Separate failure risks are calculated for unstable necking and ductile fracture modes associated with void growth and shear banding. Necking is detected by a multi-scale method which considers sheet inhomogeneity, strain hardening, Bauschinger effects, strain rate sensitivity and the multi-axial stress-state in the neck. The model is easily calibrated from uniaxial test data and can be combined with a meshindependent treatment of post-necking deformation. Ductile fracture risks are based on damage tensors calculated as integrals of the effective plastic strain weighted by the stress state. The tensorial formulation accounts for fracture strain recovery following load reversal. Model parameters can be evaluated with standard testing machines using tailored specimens. The failure methodology is realized in the software module MF GenYld + CrachFEM, which can be coupled to all major explicit FEM codes. In this study the explicit-dynamic solver LS-DYNA® has been used together with the material model MF GenYld + CrachFEM®. A full characterisation of the relevant aluminium cast alloy had been available for this study. Besides the viscoplastic behaviour of the material the material model includes a prediction of material failure due to necking (only in case of shell discretisation), ductile normal fracture and ductile shear fracture. For both fracture models the equivalent plastic strain at fracture is a function of a stress state parameter which gives a unique fracture strain in case of a general three-dimensional stress state. A shell discretisation is the typical and effective approach in industrial crashworthiness simulation for sheets, extrusions and thin-walled castings. However, a shell discretisation of a geometrically complex cast component is not a straightforward approach. The definition of the middle plane is not always clear at junctions of walls and ribs. The stiffness of T-joints or K-joints between shells does not represent the stiffness correctly. In addition, the stress state (e.g. stress triaxiality) is not predicted quantitatively correct at junctions. An alternative meshing strategy is a full three-dimensional discretisation of the cast component with quadratic tetrahedrons. Meshing of the three-dimensional geometry is pretty straightforward with this kind of elements. However, there is an upper limit of mesh size due to high CPU effort. In this study generic components are first used to quantify the predictive quality of different meshing strategies. Finally, a real shocktower component test (fracture has been achieved by a high overload in this test) is modelled with shells and quadratic tetrahedrons (2 mesh sizes each). The results are compared against the experimental findings. The capability of fracture prediction in geometries with complex stress states is found to be insufficient and strongly mesh dependent using thin shell elements. In contrast to that, the discretisation with quadratic tetrahedrons predicts the location of crack initiation with excellent accuracy. However, due to the limitations in mesh refinement (model size of the fine model is already around 2 million elements), the time of fracture is not predicted with the same accuracy as the location is. In this study quasi-homogeneous properties are assumed for the cast material. In future steps the variation of material properties through the component due to different filling and solidification history will be accounted for. The initiation of local material properties based on a casting simulation has been already established in material model MF GenYld + CrachFEM. H. Gese G. Oberhofer VDI-Konferenz, Simvec Spezial, Simulation des Werkstoffverhaltens für automobile Anwendungen, Baden-Baden, 10.–11. Dezember 2013 MATFEM Partnerschaft Dr. Gese & Oberhofer, München, Germany Durchgängiges Materialmodell für Fertigungs- und Crashsimulation von Metallen und Kunststoffen H. Gese G. Oberhofer M. Oehm A. Heath Forming Technology Forum 2013, 19–20 September, 2013, Herrsching, Germany MATFEM Partnerschaft Dr. Gese & Oberhofer, München, Germany CrachFEM – A Comprehensive Approach for the Prediction of Sheet Failure in Multi-Step Forming and Subsequent Forming and Crash Simulations The classical forming limit diagram is mainly used in industrial sheet metal forming simulation to predict a possible sheet failure. This criterion is based on the onset of localized necking. Its validity is limited to linear strain paths. Therefore it is not applicable to multistep forming simulations and for subsequent forming and crash simulations. For AHSS, UHSS and aluminium sheets fracture can also appear without prior necking. This kind of sheet failure is not covered by the concept of the forming limit diagram. The module CrachFEM of material model MF GenYld + CrachFEM offers a comprehensive approach for the prediction of material failure in sheet metals. MF GenYld + CrachFEM can be used for a discretization with shell and solid elements. For a shell discretization it is not possible to resolve the onset of necking directly as the width of the necked region is typically smaller than the edge length of a shell element. Therefore CrachFEM uses the submodule Crach to model the onset of necking with a detailed discretiza-tion of the neck. The module Crach uses a plastic material model which accounts for orthotropic plasticity, isotropickinematic hardening and strain rate sensitivity. The discretization is based on an initial imperfec-tion to allow for a realistic prediction of necking. The strain hardening, strain rate sensitivity and the harden-ing due to change of stress state inside the necked region (change to plane stress condition in neck; increase of stress component normal to sheet) contribute to the limit strain for instable necking. As the main physical effects are accounted for, Crach can be used also in case of nonlinear strain paths. Besides tensile tests no extra tests are needed to predict the forming limit diagram. For the prediction of fracture (without prior necking) CrachFEM uses phenomenological models for the phenomena of ductile normal fracture (DNF) and ductile shear fracture (DSF). DNF accounts for a fracture which is caused by void growth and void coalescence (in case of ductile sheets voids do only appear just before fracture) with a fracture surface normal to the direction of the first principal strain. DSF accounts for a shear band localization in the material which is followed by fracture. The equivalent plastic strain at fracture as a function of a relevant stress state parameter is used as a failure criterion in case of linear strain paths. In case of nonlinear strain paths the initial fracture limit curves are used as a master curve for an integral damage accumulation law. In CrachFEM a tensorial description of damage is used. The limit strains for DNF and DSF cannot be predicted based on elastoplastic properties as the ductility of metals depends on the microstructure of the material. A set of specimens is needed, which allow to identify the equivalent plastic strain at fracture for a defined stress state. For resume runs in multi-step forming simulations and for a mapping between forming and crash simulation with different mesh discretization the full membrane deformation history of an element must be transferred from one step to the next to ensure a correct prediction of necking. The deformation history must be ex-pressed relative to a reference orientation. Therefore also the orientation of the rolling direction has be mapped. For the fracture models the cumulated values of the damage tensor has to be mapped. In the presentation an example for a multi-step forming simulation with LS-DYNA and a process chain of deep drawing and crash simulation (for cases with AUTOFORM to LS-DYNA and LS-DYNA to LS-DYNA) will be shown. F. Brenner1 M. Buckley2 H. Gese1 G. Oberhofer1 1 9th European LS-DYNA Users’ Conference, Manchester, 2–4 June 2013 (1) MATFEM Partnerschaft Dr. Gese & Oberhofer, München, Germany (2) Jaguar Land Rover Limited, Gaydon, United Kingdom Influence of Discretisation on Stiffness and Failure Prediction in Crashworthiness Simulation of Automotive High Pressure Die Cast Components In recent years, castings are widely used as part of the car chassis in automobile manufacture because of their light weight and the flexibility of the design process. Due to the comparable low ductility of castings, it is essential for crash simulations to gain dependable analyses. However, modelling casting parts correctly for finite element analyses is an issue for several reasons. In order to represent the elastoplastic stiffness correctly and thus to obtain reliable failure predictions, an accurate prediction of plastic strains and the corresponding stress states is required. To meet these conditions an adequate material model as well as an appropriate discretisation are needed. The geometric discretisation is a trade-off between computational costs, meshing effort and the quality of the results that can be achieved in simulations. In this study the explicit-dynamic solver LS-DYNA® has been used together with the material model MF GenYld + CrachFEM. A full characterisation of the relevant aluminium cast alloy had been available for this study. Besides the viscoplastic behaviour of the material the material model includes a prediction of material failure due to necking (only in case of shell discretisation), ductile normal fracture and ductile shear fracture. For both fracture models the equivalent plastic strain at fracture is a function of a stress state parameter which gives a unique fracture strain in case of a general three-dimensional stress state. A shell discretisation is the typical and effective approach in industrial crashworthiness simulation for sheets, extrusions and thin-walled castings. However, a shell discretisation of a geometrically complex cast component is not a straightforward approach. The definition of the middle plane is not always clear at junctions of walls and ribs. The stiffness of T-joints or K-joints between shells does not represent the stiffness correctly. In addition, the stress state (e.g. stress triaxiality) is not predicted quantitatively correct at junctions. An alternative meshing strategy is a full three-dimensional discretisation of the cast component with quadratic tetrahedrons. Meshing of the three-dimensional geometry is pretty straightforward with this kind of elements. However, there is an upper limit of mesh size due to high CPU effort. In this study generic components are first used to quantify the predictive quality of different meshing strategies. Finally, a real shocktower component test (fracture has been achieved by a high overload in this test) is modelled with shells and quadratic tetrahedrons (2 mesh sizes each). The results are compared against the experimental findings. The capability of fracture prediction in geometries with complex stress states is found to be insufficient and strongly mesh dependent using thin shell elements. In contrast to that, the discretisation with quadratic tetrahedrons predicts the location of crack initiation with excellent accuracy. However, due to the limitations in mesh refinement (model size of the fine model is already around 2 million elements), the time of fracture is not predicted with the same accuracy as the location is. In this study quasi-homogeneous properties are assumed for the cast material. In future steps the variation of material properties through the component due to different filling and solidification history will be accounted for. The initiation of local material properties based on a casting simulation has been already established in material model MF GenYld + CrachFEM. H. Gese G. Metzmacher M. Oehm Automotive CAE Grand Challenge 2013, 10–11 April 2013, Hanau, Germany MATFEM Partnerschaft Dr. Gese & Oberhofer, München, Germany From sheet metal to material input for FEA – a systematic approach M. Franzen1 M. Thornagel2 G. Oberhofer3 Integrative Simulation von faserverstärkten Kunststoffen unter Crash-Beanspruchung 3 VDI-Konferenz, Kunststoffe im Automobilbau – Plastics in Automotive Engineering, Mannheim, 13.–14. März 2013 (1) Ford Research & Advanced Engineering Europe (2) SIGMA Engineering GmbH (3) MATFEM Partnerschaft Dr. Gese & Oberhofer, München, Germany Injection-moulded fibre-reinforced thermoplastics show a high potential for cost effective weight reduction in the automotive area. However these materials feature a complex mechanical behaviour which is dependent on the injection moulding process. Local micro-structure and fibre orientation / distribution, which are highly influencing the elasto-plastic and fracture characteristics, are defined by the manufacturing process. To improve the crash simulation quality of injection moulded fibre reinforced parts an integrative simulation approach seems to be inevitable. Ford Research and Advanced Engineering in cooperation with the companies MATFEM Partnerschaft Dr. Gese & Oberhofer and SIGMA Engineering GmbH have developed a methodology to couple injection simulation with crash simulation which can be used in the development process at Ford Motor Company. The material model MF GenYld + CrachFEM is used within RADIOSS® and LS-Dyna® by taking into account the injection moulding manufacturing process results delivered by SIGMASOFT®. Automotive prototype parts have been manufactured and subjected to various load cases to validate the advanced methodology by correlating the CAE models with the test data in terms of measured force-deflection curves and observed material failure. The integrative simulation approach leads to a much better correlation in terms of deflection, deformation and fracture behaviour compared to conventional approaches. M. Oehm G. Oberhofer H. Gese Enginsoft International Conference 2012, 22–23 October, Lazise, Italy MATFEM Partnerschaft Dr. Gese & Oberhofer, München, Germany Advanced modelling of metals and thermoplastics for crash applications under consideration of the process history Effective CAE assessment of crashworthiness requires not only comprehensive material models; local effects introduced by the manufacturing process should also be considered. This presentation shows how the predictive material model MF GenYld + CrachFEM can incorporate the process history from cold forming of sheets, from Mg high-pressure die casting and from mould-injection of polymers. H. Gese G. Oberhofer “Vehicle Property Validation 2012”, Automotive Circle International, Bad Nauheim, 19–20 June 2012 MATFEM Partnerschaft Dr. Gese & Oberhofer, München, Germany Improved material models for metals and plastics in crash simulation – a prerequisite for the virtual validation of novel lightweight design concepts Effective CAE assessment of crashworthiness requires not only comprehensive material models; local effects introduced by the manufacturing process should also be considered. This presentation shows how the predictive material model MF GenYld + CrachFEM can incorporate the process history from cold forming of sheets, from Mg high-pressure die casting and from mould-injection of polymers. M. Reißner1 S. van der Veen2 M. Groß1 Prediction of plane stress fracture toughness for aluminium sheet materials with numerical methods H. Gese1 ESIS-Workshop on Computational and Experimental Failure Mechanics, 14–15 June 2012, BAM Berlin, Germany (1) MATFEM Partnerschaft Dr. Gese & Oberhofer, München, Germany (2) AIRBUS France, Materials & Processes, Toulouse, France The evaluation of the residual strength of aircraft fuselage panels with fatigue cracks is a core topic for a damage-tolerant design. For thinner sheets the plane-stress fracture toughness is the relevant criterion. It is well known that fracture toughness decreases with increasing thickness because thick sheets undergo the fracture-prone plane-strain condition. Whereas the planestrain fracture toughness is a real material parameter the planestress fracture toughness depend also on the geometry (thickness, crack length). For some of the assessed aluminium materials, however, the plane-stress fracture toughness decreases also slightly towards very low sheet thicknesses. The aim of the presented work is to determine the thickness dependence of plane-stress fracture toughness (PSFT) by means of finite-element simulations. C(T) 127 specimens of three different aluminium alloys (well known quality AA2024-T3 and two other alloys Al–01 and Al–02) and with five different sheet thicknesses from 0.8mm to 3.2mm each were simulated with the FE code ABAQUS/Explicit in combination with the advanced user material and failure model MF GenYld + CrachFEM. The material description for the simulations includes an in-plane plastic orthotropy of the sheet materials and stress state-dependent fracture models that account for ductile normal and ductile shear fracture. A shear fracture mode can be predicted for a single finite element, but an overall shear band across the sheet thickness cannot be modeled with this approach. As the available C(T) 127-experiments show a crack propagation with slanted cracks (can be single slant or V-shaped), the material model had to be extended to a damage plasticity approach. Matfem implemented damage plasticity into MF GenYld + CrachFEM along the models published by Xue et al.. In the current implementation the flow curve of individual elements is weakened with increasing fracture risks for ductile normal fracture and ductile shear fracture. The crack propagation area was modeled with a very fine solid mesh. The remaining C(T) specimen was modeled with shells ? using a shell-solid-coupling at the interface. The existing mesh dependency in damage plasticity was considered by scaling the fracture curves using a concept by Wilkins et al., which requires that plastic deformation occurs in a critical radius around the crack tip before the crack propagates. Fracture curves and the damage plasticity parameters were calibrated with experimental data from only one combination (Al–02, 3.2mm). The resulting numerical parameters were then used for all combinations of alloys and thicknesses. A parameter study showed that the simulation of a slanted crack is possible. The variable parameters (damage plasticity parameters, scaling of fracture curve, material description and mesh size) affect each other, however. For the main simulations one set of parameters for the damage plasticity model and the scaling of the fracture curves was determined and used throughout the project. The results for the different sheet thicknesses and different Al-alloys show differences in the onset of fracture, i.e. the length of straight crack before slanted crack, and in the mode of the slanted crack. The force in the simulation, normalized to the sheet thickness, also shows differences between the different alloys and the different sheet thicknesses. The drop of the normalized force for very low sheet thickness is pronounced for Al–01, moderate for AA2024-T3 and negligible for Al–02. The performed simulations show that the used material model is able to model a slanted crack and a drop of normalized force response for decreasing thicknesses. Because the same material model was used for all simulations of a given alloy, the predicted thickness effects are owed to differences in the stress state. The material model itself does not account for texture or microstructure. Hence, the causes of thickness effect are plastic orthotropy and a different characteristic of fracture strains vs. stress state, at least to some extent. H. Gese H. Dell Forming Technology Forum 2011, 17–18 May 2011, IVP, ETH Zurich, Switzerland MATFEM Partnerschaft Dr. Gese & Oberhofer, München, Germany Contribution of improved material models to the virtual assessment of the process robustness of sheet forming processes Today, most of the industrial sheet metal forming simulations are still based on simple orthotropic yield loci, isotropic strainrate independent hardening laws and failure prediction with the classical forming limit curve. This approach does not exploit the full potential of the virtual simulation with finite elements. Some of the pre-optimized parts still fail in the physical try-out runs or are unstable in the real production process with different material batches. An improvement can be achieved by the identification of materials and processes that are not covered adequately by the standard simulation approach and introducing improved and more robust models. Candidates for improved material models are aluminium sheets, austenitic steels and advanced high strength steels. Typically the classical Hill–1948 yield locus does not fit for those materials. In addition to the forming limit diagram criteria for ductile normal fracture and ductile shear fracture are needed. This paper focuses on extended criteria for the prediction of sheet failure. Besides the deterministic prediction of a failure risk a failure probability can be derived from the scatter of one material batch. An implementation of a model for failure probability is discussed in detail. If the behavior of one material batch can be predicted with sufficient accuracy a stochastic approach can be used on top to account for the influence of the scatter between consecutive material batches. M. Franzen1 G. Oberhofer2 M. Thornagel3 3 CrashMat Freiburg, Fraunhofer EMI, 24.–25. April 2012, Freiburg, Germany (1) Ford Research & Advanced Engineering Europe (2) MATFEM Partnerschaft Dr. Gese & Oberhofer, München, Germany (3) SIGMA Engineering GmbH Advanced Modeling of Fiber Reinforced Thermoplastics for Crash Simulation under Consideration of the Injection Molding Process M. Groß1 H. Dell1 S. van der Veen2 T. Billaudeau2 H. Gese1 S. Abdel-Malek3 L.W. Meyer3 7th Nordmetall Colloquium, 18–19 April 2012, Wasserschloss Klaffenbach (1) MATFEM Partnerschaft Dr. Gese & Oberhofer, München, Germany (2) Airbus SAS, Toulouse, France (3) Nordmetall GmbH, Adorf, Germany Beitrag verbesserter Materialmodelle zur numerischen Auslegung von Leichtbaukomponenten – A Contribution of Advanced Material Models for Numerical Simulation of Lightweight Components U. Weiss1 A. Bach1 La Metallurgia Italiana – n. 11–12/2011 Ford Research & Advanced Engineering Europe Beitrag verbesserter Materialmodelle zur numerischen Auslegung von Leichtbaukomponenten – A Contribution of Advanced Material Models for Numerical Simulation of Lightweight Components Magnesium castings offer significant weight saving potential for many crash-relevant structures in the vehicle. Until now, proper cast magnesium design was difficult and time consuming, as reliable CAE tools were not available. In the European funded research project NADIA, a new set of CAE tools have been developed for AM60 and AM50 alloys that combine local casting process simulation results with crash failure CAE modelling to reliably predict component level crash behaviour. These CAE tools have been made commercially available and integrated into existing CAD / CAE codes. H. Gese G. Oberhofer VDI-Fachkonferenz “Simulation im automobilen Leichtbau”, Baden-Baden, 22. und 23. November 2011 MATFEM Partnerschaft Dr. Gese & Oberhofer, München, Germany Beitrag verbesserter Materialmodelle zur numerischen Auslegung von Leichtbaukomponenten – A Contribution of Advanced Material Models for Numerical Simulation of Lightweight Components M. Buckley1 M. Selig2 M. Oehm3 8th European LS-DYNA Users Conference, 23 – 24 May 2011, Strasbourg (1) Jaguar Land Rover Limited, Gaydon, United Kingdom (2) Autoform Development GmbH, Zurich, Switzerland (3) MATFEM Partnerschaft Dr. Gese & Oberhofer, München, Germany A new method for CrachFEM damage parameter calculation and transfer from Autoform to LS-Dyna H. Gese G. Oberhofer M. Oehm automotive CAE Grand Challenge 2011, 19 – 20 March 2011, Hanau, Germany MATFEM Partnerschaft Dr. Gese & Oberhofer, München, Germany Contribution of Material Model MF GenYld + CrachFEM to the Virtual Assessment of Sheet Forming Processes G. Oberhofer 4A Engineering Technologietage, 3. + 4. März 2011, Schladming, Austria MATFEM Partnerschaft Dr. Gese & Oberhofer, München, Germany Modelling Short-Fiber Reinforced Polymers with Material Model MF GenYld + CrachFEM The lecture summarizes the functionality of material model MF GenYld + CrachFEM for the simulation of short-fiber reinforced polymers. H. Gese Enginsoft International Conference 2010, 21 October, Fiera Montichiari, Italy MATFEM Partnerschaft Dr. Gese & Oberhofer, München, Germany Advanced prediction of material failure in metal forming and crash simulation with material model MF GenYld + CrachFEM A wide range of new materials has been introduced by the automotive industry to fullfill the increased needs for lightweight design and passenger safety. Examples are advanced high strength steels, ultra high strength steels and light-metal structures (sheets, extrusions and castings from aluminium and magnesium alloys). A predictive simulation of these materials must include a comprehensive failure prediction. The material model MF GenYld + CrachFEM has been developed for an advanced failure prediction. This material model can be coupled to LS-DYNA and other explicit FEA codes via the user material interface. The module MF GenYld allows for a modular combination of yield loci and hardening laws to cover the elastoviscoplastic material behaviour. The module CrachFEM can be used for a failure prediction including criteria for localized necking (in case of shell elements), ductile normal fracture and ductile shear fracture. Failure prediction for different kind of materials will be shown in the lecture: failure prediction in the process chain of deep drawing and crash of steel sheets failure prediction for aluminium and magnesium extrusions in crash failure prediction for magnesium high pressure die castings in crash M. Groß S. van der Veen J. Jendrny Deutsche SIMULIA-Konferenz 2010, Heidelberg, 20.–21. September 2010 (1) MATFEM Partnerschaft Dr. Gese & Oberhofer, München, Germany (2) AIRBUS France, Materials & Processes, Toulouse (3) AIRBUS Germany, Materials & Processes, Bremen Semi-automated bearing strength prediction of aerospace materials using Abaqus and Python scripting C. Lange1 F. Bron2 P. Hänggi1 T. Möller3 H. Gese4 D. Daniel2 C. Leppin1 IDDRG 2010, Graz, 31 May 31 – 2 June (1) Alcan Technology & Management, Neuhausen, Switzerland, (2) Alcan CRV, Voreppe, France (3) GOM mbH, Braunschweig, Germany (4) MATFEM Partnerschaft Dr. Gese & Oberhofer, München, Germany Forming simulation of aluminum car body sheet with different yield models and comparison with experiments In recent years, significant effort has been invested in improving the accuracy of the formability assessment of aluminum car body panels by numerical deep drawing simulations. Adequate modeling of the plastic deformation of the sheet and the friction between sheet and tools are both crucial for correct predictions of the final thickness and fracture. In this paper, three different yield constitutive models are investigated for the AA6016 T4 aluminum alloy car body sheet DR100, using the commercial software package MF GenYld + CrachFEM in combination with the explicit finite element code LS-Dyna: Barlat 2000, Bron-Besson 2004 and the simple Hill 48 model. For the prediction of necking failure, the software package also includes a perturbation method along the lines of the original idea by Marciniak and Kuczynski. Comprehensive characterization tests such as tensile, shear, equi-biaxial tests in different directions are considered to identify the model parameters. The performance of the three different yield models is compared in deep-drawing tests, namely stretching with hemispherical punch (LDH test) and deep drawing with a cross-shaped punch (cross-die test). A sensitivity analysis to friction coefficient is performed to determine the most appropriate friction values. For an in depth validation, the numerical simulations are compared with tests that are performed with the Argus optical strain measurement system. Using the latest software feature developed by GOM, the distribution of the error between numerical results and tests is visualized and evaluated. As expected, the Barlat 2000 model shows superior performance compared to the simple Hill 48 model. However the BronBesson 2004 yield model shows a significant improvement of the thickness prediction, especially in the critical area where the thickness is minimal, and is also recommended for fracture prediction in sheet forming. H. Gese H. Dell G. Metzmacher 13. Workshop Simulation in der Umformtechnik, Universität Stuttgart, 19. März 2010 MATFEM Partnerschaft Dr. Gese & Oberhofer, München Beschreibung der isotropen, isotropkinematischen und anisotropen Verfestigung von Blechwerkstoffen – experimentelle Aufnahme und numerische Modellierung (Zusammenfassung nicht verfügbar.) G. Oberhofer H. Gese M. Oehm Automotive CAE Grand Challenge 2010" Hanau, 30–31 March 2010 MATFEM Partnerschaft Dr. Gese & Oberhofer, München Modelling Non-Reinforced and FiberReinforced Polymers with Material Model MF GenYld + CrachFEM The material model MF GenYld + CrachFEM can model non-reinforced and short fibre-reinforced polymers in crash simulations. MF GenYld + CrachFEM is a modular approach: The module GenYld (Generalized Yield Model) can be used to describe elastoviscoplastic material response of metals and polymers. For polymers, GenYld allows to describe an anisotropic evolution of the yield locus, i.e. the hardening can be modelled as a function of the stress state. This anisotropic hardening can be combined with an elastic and plastic orthotropy for fibre reinforced polymers. The plastic orthotropy can be different for tension and compression. This is relevant to describing the real behaviour of short fibre reinforced polymers. The module CrachFEM predicts the onset of material failure due to ductile normal fracture and ductile shear fracture. The fracture strain is a function of the stress state and can be orthotropic for short-fibre reinforced polymers. The lecture also covers the modelling of structural polymeric foams. H. Gese G. Oberhofer M. Oehm Automotive CAE Grand Challenge 2010" Hanau, 30–31 March 2010 MATFEM Partnerschaft Dr. Gese & Oberhofer, München Crash Simulation with Material Model MF GenYld + CrachFEM based on Results of Process Simulation The lecture describes the use of material model MF GenYld + CrachFEM in multi-trade simulations to evaluate the crashworthiness of components. Multi-trade simulations are analyses of linked physical phenomena where it seems to be sufficient to perform one analysis and use the results to modify or establish the inputs of a second analysis. The following multi-trade examples are covered in this lecture: Sheet metal: Deep drawing – crash; Sheet metal: Initialization of local properties from processing and joining; Cast components: Casting – crash H. Gese1 H. Klamser2 P. Stolfig3 M. Groß1 L. W. Meyer4 S. Abdel-Malek4 Nordmetall-Kolloquium 2009 am 2.12. und 3.12.2009 in Adorf bei Chemnitz (Organisation: Prof. Dr.-Ing. L.W. Meyer) (1) MATFEM Partnerschaft Dr. Gese & Oberhofer, München (2) Dr.Ing. h.c. F. Porsche AG, Weissach (3) Fa. Stolfig GmbH, Geisenfeld (4) Nordmetall GmbH, Aadorf Gemeinde Neukirchen Weiterentwickeltes Materialmodell zur Bewertung des Crashverhaltens von Mg-Extrusionsprofilen Magnesium-Extrusionsprofile bieten prinzipiell ein hohes Leichtbaupotential in Fahrzeugstrukturen. Beim Entwurf und der Auslegung von Komponenten aus Mg-Extrusionsprofilen müssen aber die besonderen Eigenschaften dieser Werkstoffgruppe Berücksichtigung finden. Hier sind das nichtlinear-elastische Verhalten, die ausgeprägte plastische Orthotropie – bedingt durch die geringe Zahl von Gleitsystemen der hdp-Kristallstruktur von Mg – und die anisotrope Verfestigung der Werkstoffgruppe zu nennen. Im Vortrag wird die Auslegung von Mg-Extrusionsprofilen bei Crashbelastung behandelt. Im Detail wird dabei ein BumperDoppelkammerprofil aus der Mg-Legierung MnE21 (Hersteller Fa. Stolfig GmbH) betrachtet. Für die Simulation wird der explizite FEM-Code LS-DYNA zusammen mit dem User-Materialmodell MF GenYld + CrachFEM der Fa. MATFEM herangezogen. Im Materialmodell MF GenYld + CrachFEM kann eine anisotrope – vom Spannungszustand abhängige Verfestigung – berücksichtigt werden. Bei Mg-Profilen zeigt sich diese durch eine ausgeprägte Asymmetrie der Verfestigung in Zug und Druck. Gleichzeitig wird die plastische Orthotropie und der Dehnrateneinfluß berücksichtigt. Ein mögliches Werkstoffversagen wird mit Modellen für lokale Einschnürung, duktilen Trennbruch und duktilen Scherbruch bewertet. Bei Nordmetall wurden Versuche mit unterschiedlichen statischen und dynamischen Lastfällen an dem Mg-Extrusionsprofil aus der Legierung MnE21 durchgeführt. Neben den KraftDeformations-Verläufen wurde dabei auch die lokale Dehnungsverteilung auf der Bauteil-oberfläche gemessen. Alle Lastfälle wurden parallel mit dem beschriebenen Materialmodell simuliert und die Qualität der Prognose bewertet. Vergleichend wurden auch Simulationen mit einfacheren Materialmodellen auf Basis isotroper Plastizität und isotroper Verfestigung durchgeführt. Die Ergebnisse zeigen, dass nur die Verwendung von erweiterten Materialmodellen eine ausreichend genaue Bewertung des Crash-Verhaltens von Mg-Profilen zulässt. M. Groß G. Oberhofer H. Gese ANSYS Conference & 27. CADFEM Users’ Meeting Leipzig, 18–20 November 2009 MATFEM Partnerschaft Dr. Gese & Oberhofer, München Advanced Modeling of Metallic Materials in Metal Forming and Crash with LS-Dyna and Modular User Material MF GenYld + CrachFEM (To be submitted.) H. Gese1 G. Oberhofer1 A. Bach2 U. Weiss2 N. Nowack3 P. Bernbeck4 8th International Conference on Magnesium Alloys and their Applications, Weimar, 26–29 October 2009 (1) MATFEM Partnerschaft Dr. Gese & Oberhofer, München (2) Ford Research & Advanced Engineering Europe (3) IMPERIA GmbH (4) MAGMA Giessereitechnologie GmbH Crashworthiness Simulation of Mg Die Casting Parts Including Local Properties from Process Simulation For the production of crash resistant Mg die castings, it is necessary to understand all influencing process parameters during the whole process chain. Up to now the results of the process simulation are often not included into the crash simulation. This paper will show a new methodology to improve the predictive quality of crashworthiness simulations for Mg die castings by including local properties from the casting and solidification simulation into the crash simulation. The work performed within the European Research Project “NADIA”. The casting simulations and casting trials are presented in a parallel paper by Hepp et al. A user-material MF GenYld + CrachFEM which can be coupled with explicit FEA codes has been used as a basis for this work. The module CrachFEM is able to account for the different failure mechanisms in metallic materials (i.e. ductile shear fracture, ductile normal fracture, localized necking). This material model has already been successfully used for the prediction of fracture in quasi-homogeneous metallic materials (e.g. sheets and extrusions). For the prediction of failure in magnesium die cast parts a yield strength factor, a ductility impairment factor and a porosity factor have been introduced. These factors are derived from characteristic process parameters coming from solidification simulation (e.g. flow length, local solidification time, physical porosity) and are used to modify the flow stress curves and failure curves locally. An extended version of software MAGMAlink has been used to map the local process parameters from the casting simulation mesh ? based on MAGMAsoft – onto the crash simulation mesh. A Mg cast component is used in the NADIA project to validate the new simulation approach. The results of crash simulations are compared with crash tests performed in parallel. Components with different ingate systems are used to show the sensitivity of the new approach with local material properties. H. Gese M. Groß EUCOMAS 2009, 1–2 July 2009, Augsburg, Germany MATFEM Partnerschaft Dr. Gese & Oberhofer, München Current developments in modelling material failure of metallic structures The introduction of a new generation of alloys into the fuselage structure of commercial aircrafts is a cost intensive and time intensive approach. A wide range of properties for the manufacturing process and the in-service behaviour have to be checked with already large structures (e.g. stretch forming of fuselage panels, wide M(T) specimens for evaluation of residual strength). In the early stages of the validation process there is even a lack of sheet material in the necessary dimensions. It would be favourable to have a physically based simulation tool which allows to predict the behaviour of large structures based on a fundamental material characterization on specimen level. The paper will present the application of a comprehensive material model for FEA codes with explicit-dynamic time integration scheme. This material model allows for a modular combination of yield loci and hardening models and contains relevant criteria for the prediction of failure of metallic materials under monotonic loading: * failure due to localized necking (this failure is caused by a tensile instability of a sheet material); as localized necking cannot be resolved by shell elements a special criterion has to be used to predict the onset of necking based on the macroscopic strains of the shell element; an algorithm CRACH is used which is based on a mechanical model with an initial imperfection; * Failure due to ductile normal fracture (this failure is caused by void nucleation, void growth and void coalescence) * Failure due to ductile shear fracture (this failure is caused by shear band localization). Whereas the models for ductile normal fracture and ductile shear fracture can be applied in case of shell and solid discretization, the criterion for localized necking is used only for shell discretization. The failure models for ductile normal fracture and ductile shear fracture have been already validated for the correct prediction of fracture limit curves of the alloy AA2024-T3. However the prediction of material failure depends on a correct modeling of the local strain distribution in a loaded structure. A comprehensive description of plastic orthotropy and plastic hardening is a necessary prerequisite. The presentation will give a number of examples which highlight the necessity of a combination of advanced plasticity and failure models to achieve a good prediction of failure in loaded structures. The first example is the prediction of failure in a tensile specimen (AA2024-T3 sheet) with a circular hole. This example is modeled with shell and solid discretization. The failure is initiated by localized necking at the rim of the hole. Final fracture occurs in the necked region. The crack propagates until final failure of the specimen. The use of solid elements in combination with failure criteria for ductile normal fracture and ductile shear fracture allow to predict the specimen behaviour in a correct way. However a very fine mesh with high computational effort has to be used. In a second step a shell model is used in combination with the failure models given above. The onset of necking is predicted correctly by algorithm CRACH. However the use of the onset of necking as a failure criterion is too conservative. Therefore a model for the post-instability strain is used in addition to account for the extra strain between onset of localized necking and final fracture in the neck. With this extended approach a very effective prediction based on shell discretization is possible. The second example is a high speed impact of a spherical part on a metallic sheet structure (e.g. runway debris during landing or take-off). During this type of impact scenario local strain rates beyond 1000 1/s can occur locally. A special hardening model has been implemented for this application. The hardening model allows for a transition from a pure isothermal deformation up to a pure adiabatic deformation. It can be combined with orthotropic yield loci to fully cover the behaviour of the relevant aluminium quality. The experimental programme for the derivation of the fracture limit curves is discussed. A shell discretization is used for the FEA simulation. The study shows that the type of failure initiation depends on the diameter of the impacting sphere and on the friction condition. For a small impactor diameter the ductile normal fracture is the dominant failure mode. For an increased impactor diameter the dominant failure mode is localized necking. The sensitivity of the modelling approach to rank different aluminium alloys is discussed. The third example is the use of the models for ductile normal fracture and ductile shear fracture to predict the residual strength of a sheet structure with an initial crack. A detailed model of a double cantilever beam (DCB) with solid discretization is used. An orthotropic yield locus for the general 3D stress state is included as the plastic orthotropy can have influence on the direction of the crack propagation. In principal the fracture criteria can be also applied to crack tip problems. However the results can be mesh-dependent. Non-local approaches have to be used to avoid this problem. The results of the detailed simulation of the crack tip can be used to evaluate relevant criteria (e.g. CTOD) for the simulation of larger structures with shell discretization. In the outlook of the presentation the potential to apply the simulation on large structures is discussed. G. Oberhofer1 A. Bach2 M. Franzen2 H. Gese1 H. Lanzerath2 7th European LS-DYNA Conference, 14–15 May 2009, Salzburg (1) MATFEM Partnerschaft Dr. Gese & Oberhofer, München (2) Ford Research & Advanced Engineering Europe, Aachen, Germany A Systematic Approach to Model Metals, Compact Polymers and Structural Foams in Crash Simulations with a Modular User Material Today the automotive industry is faced with the demand to build light fuel-efficient vehicles while optimizing its crashworthiness and stiffness. A wide variety of new metallic and polymeric materials have been introduced to account for these increased requirements. Numerical analysis can significantly support this process if the analysis is really predictive. Within the numerical model a correct characterization of the material behaviour – including elasto-viscoplastic behaviour and failure – is substantial. The particular behaviour of each material group must be covered by the material model. The user material model MF GenYld + CrachFEM allows for a modular combination of phenomenological models (yield locus, strain hardening, damage evolution, criteria for fracture initiation) to give an adequate representation of technical materials. This material model can be linked to LS-DYNA when using the explicit-dynamic time integration scheme. This paper gives an overview on the material characterization of ultra high strength steels (with focus on failure prediction), nonreinforced polymers (with focus on anisotropic hardening of polymers), and structural foams (with focus on compressibility and stress dependent damage evolution) with respect to crash simulation. It will be shown that a comprehensive material model – including damage and failure behaviour – enables a predictive simulation without iterative calibration of material parameters. A testing programme has been done for each material group in order to allow a fitting of the parameters of the material model first. In a second step different component tests have been carried out, which were part of a systematic procedure to validate the appropriate predictions of the crash behaviour with LS-Dyna and user material MF GenYld + CrachFEM for each material group. Gese, H. Dell, H. Obehofer, G. Forming Technology Forum 2009, 5–6 May 2009, IVP, ETH Zurich, Switzerland MATFEM Partnerschaft Dr. Gese & Oberhofer, München Models for Isotropic-Kinematic Hardening and Anisotropic Hardening in Material Model MF Genyld + Crachfem The authors have developed the user material MF GenYld + CrachFEM, which may be coupled to commercial finite element codes for industrial deep-drawing and crash simulations. MF GenYld is a modular plasticity model and CrachFEM is a module for comprehensive failure prediction. MF GenYld offers various yield loci, all of which may be combined with different hardening models in order to reflect the observed behaviour of a wide range of metallic materials. This paper highlights the available models for anisotropic hardening and isotropic-kinematic hardening. Typically, isotropic hardening is assumed in industrial deep-drawing simulations. Most technical sheet qualities show a more or less pronounced anisotropic hardening, however, where hardening is a function of the stress state. MF GenYld allows to scale the yield locus in a defined stress regime. Each scaling factor can be a function of equivalent plastic strain. The model for anisotropic hardening can be combined with isotropic hardening or with isotropic-kinematic hardening. A modified Chaboche model is available in MF GenYld to describe kinematic hardening. The module CrachFEM includes the algorithm Crach for predicting localized necking. For non-linear strain paths the influence of kinematic hardening on the onset of localized necking must be included. Crach uses a Backhaus model. Gese, H. Oberhofer, G. Oehm, M. Automotive CAE Grand Challenge 2009, 2–3 March 2009, Hanau MATFEM Partnerschaft Dr. Gese & Oberhofer, München Vision and Current Development of an FEA-Code Independent Material Model for the Process Chain of Manufacturing and Crash Simulation A step forward towards a predictive crash simulation is only possible if the local properties of the involved parts of an automotive structure are included from a simulation of the manufacturing process. Examples for such processes are: deep drawing of sheets, hot forming and quenching of sheets, casting of structural metallic components and injection moulding of polymer components with or without short fibres In some cases it is sufficient to map the final properties after the production process and use them for the initialization of the crash material model on the level of the gauss points of the FE model (e.g. local preferred orientation of fibres in injection moulded polymers, hardness and sheet thickness after hot forming and quenching of sheets, microstructure and porosity in cast metallic structures). In other cases even the deformation history in the production process is necessary to characterize the material behaviour for the crash simulation (e.g. deformation history of sheet in deep drawing process). Different FEM codes are used typically throughout process simulation and crash simulation. Even the crash simulation might be be performed with different FEM codes in one development process (code A for components at the supplier, code B for full bodyin-white at the OEM). The material characterization should be consistent for the full range of the CAE development. A universal FEM user material model MF GenYld + CrachFEM for metals and polymers will be presented which can be combined with the most relevant explicit-dynamic FEM crash codes (Abaqus/ Explicit, LS-Dyna, PAM-Crash, Radioss). The material model has a modular structure. MF GenYld allows for a flexible combination of yield loci (isotropic and orthotropic) and hardening laws (isotropic, isotropic-kinematic and general anisotropic) to model the elasto-viscoplastic behaviour of metallic and polymeric materials. CrachFEM is a modular failure model including failure criteria for localized necking (for shells) and for ductile normal fracture and ductile shear fracture. A lock-and-key principle has been introduced in MF GenYld + CrachFEM which identifies the type of mapping file. Via flags the initialization of the Gauss points in the crash model is activated individually for different process simulations (e.g., a mould injection simulation of a polymer is identified by flag –1 and a deep drawing simulation by flag –2). In this way the mapping of all parts of an automotive crash can be done even for a heterogeneous mapping from different types of process simulation. Some of these couplings are already standard (mapping of deep drawing results including strain history). Some other couplings are developed in current research projects (mapping of local properties from casting simulation, mapping of fiber orientation of mould injection simulation). Simulation examples will be presented to show the current status of the universal material model. The final outlook will identify missing links towards the vision of a general material model in CAE environment. Groß, M.1 Gese, H.1 Reese, E.D.2 20. Deutschsprachige AbaqusBenutzerkonferenz, 22.–23. September 2008, Bad Homburg (1) MATFEM Partnerschaft Dr. Gese & Oberhofer, München (2) EADS Innovation Works, München Modellierung von orthotroper Plastizität und Versagen bei Dellen in integralen Flugzeughautfeldern mit dem User-Materialmodell MF GenYld + CrachFEM Das User-Materialmodell MF GenYld + CrachFEM wurde in den letzten Jahren bei MATFEM entwickelt. Das Materialmodell basiert auf einem modularen Konzept. Das Modul MF GenYld erlaubt die Kombination von weiterentwickelten orthotropen Fließortbeschreibungen mit verschiedenen Verfestigungsmodellen (isotrop, isotrop-kinematisch und anisotrop). Das Modul CrachFEM erlaubt die Vorhersage eines Materialversagens durch lokale Einschnürung (bei Schalenvernetzung) und durch Scher- und Trennbruch (bei Schalen- und Solidvernetzung). MF GenYld + CrachFEM kann an FEM-Codes mit explizit-dynamischer Zeitintegration angekoppelt werden. Im Falle von ABAQUS/ Explicit erfolgte die Kopplung über die Schnittstelle VUMAT. In diesem Vortrag wird eine Anwendung des Materialmodells MF GenYld + CrachFEM für die orthotrope Modellierung der Plastizität sowie für die Bewertung der Schädigung und des Versagens von Dellen in integralen Flugzeughautfeldern vorgestellt. Dellen in einem Flugzeugrumpf können einerseits durch Zusammenstöße mit Transportfahrzeugen während des Rangierens oder Be- und Entladens statisch – bei vergleichsweise kleinen Dehnraten – und andererseits in der Start- und Landephase durch aufgewirbelte Gegenstände dynamisch – bei extrem hohen Dehnraten – entstehen. Diese Dellen müssen hinsichtlich Schädigung untersucht und bewertet werden. In ernsten Fällen ist eine sofortige Reparatur unumgänglich. Zusätzlicher Inspektionsaufwand ist für Rümpfe in integraler Bauweise notwendig, da neben Stringer und Hautfeld auch die Schweißnaht untersucht werden muss. Um die orthotrope Plastizität des Hautfelds und der Stringer zu modellieren, wurde der Fließort Barlat–2000 verwendet. Wegen der hauptsächlich monotonen Belastung wurde für die betrachteten Aluminiumlegierungen eine isotrope Verfestigung angenommen. Im Falle der hochdynamischen Belastung steht ein adiabates Verfestigungsmodell zur Verfügung. Im Rahmen dieser Arbeit wurde die Rumpfstruktur mit Schalenelementen vernetzt. Die Schweißnaht ist dabei durch ein Makromodell abgebildet. Zusätzlich wurden mit Solids vernetzte Detailmodelle verwendet, um Materialinhomogenitäten in der Laserschweißnaht berücksichtigen zu können. In diesem Vortag werden unterschiedliche Aufprallszenarios vorgestellt und mit den experimentellen Daten verglichen. Dell, H. Gese, H. Oberhofer, G. Numisheet 2008, September 1–5, Interlaken, Switzerland MATFEM Partnerschaft Dr. Gese & Oberhofer, Munich Advanced Yield Loci and Anisotropic Hardening in the Material Model MF GenYld + CrachFEM The authors have developed the user material MF GenYld + CrachFEM, which may be coupled to commercial finite element codes for industrial deep-drawing and crash simulations. MF GenYld is a modular plasticity model and CrachFEM is a module for a comprehensive failure prediction. MF GenYld offers various yield loci, all of which may be combined with different hardening models in order to reflect the observed behaviour of a wide range of metallic materials. This paper highlights some extended features of the plasticity model MF GenYld. One extended feature is the possibility to superimpose two base yield loci to better adapt the material behaviour of some textured sheet materials. A new orthotropic yield locus Dell–2006 has been implemented; it allows to model materials with a low yield strength in shear but elliptical locus in the tension-tension regime for both plane-stress and general three-dimensional stress conditions. Another feature in MF GenYld is the so-called yield locus modification, which allows to reach a better representation of the material behaviour. This modification uses factors to scale the locus in a defined stress regime. This technique allows for example to model an asymmetry in the yield strength in tension and compression. This feature of yield locus modification can be extended to anisotropic hardening where each scaling factor can be a function of equivalent plastic strain. With the anisotropic hardening model the behaviour of materials like stable austenitic steel sheets or magnesium sheets can be covered. Daniel, D.1 Leppin, C.2 Lange, C.2 Gehrig, M.3 Gese, H.4 Dell, H.4 International Deep Drawing Research Group, IDDRG 2008 International Conference, 16–18 June 2008, Olofström, Sweden (1) Alcan Centre de Recherches de Voreppe, Centr’Alp, France (2) Alcan Technology & Management, Neuhausen, Switzerland (3) Alcan – Neuf-Brisach, France (4) MATFEM Partnerschaft Dr. Gese & Oberhofer, München, Germany Formability Prediction of Aluminium Sheet for Car Body Panels For a proper CAE-based feasibility assessment of the production processes of such automotive components involving forming, appropriate constitutive models for the deformation and fracture behavior are crucial. In the following paper, a full mechanical characterization of the AA6016 T4 aluminum alloy car body sheet DR100 is presented. A comprehensive experimental program was performed to identify and model the orthotopic elastoplastic deformation behavior of the material and its fracture characteristics including criteria for localized necking, ductile normal fracture and ductile shear fracture. The commercial material model MF GenYld + CrachFEM has been used in combination with the explicit finite element code LS-Dyna. Technological experiments, namely, prediction of the Forming Limit Curve (FLC), stretching with hemispherical punch (LDH test) and deep drawing with a cross-shaped punch have been used to validate the material model. The focus is on the correct prediction of the limits of the material in such processes. Kessler, L.1 Gese, H.2 Metzmacher, G.2 Werner, H.3 2008 SAE World Congress. April 14–17, 2008, Cobo Center, Detroit, Michigan, USA (1) ThyssenKrupp Steel AG, Duisburg (2) MATFEM Partnerschaft Dr. Gese & Oberhofer, Munich (3) BMW Group, Munich An approach to model sheet failure after onset of localized necking in industrial high-strength steel stamping and crash simulations In large-scale industrial simulations the numerical prediction of fracture in sheet metal forming operations as well as in crash events is still a challenging task of high social and economic relevance. Among several approaches presented in literature, the authors and their colleagues developed a model which accounts each for three different mechanisms leading finally to fracture in thin sheet metals: the local instability (necking), ductile normal fracture and ductile shear fracture. The focus of this paper is to develop and validate a new approach to improve the predictive capabilities for fracture triggered by localized necking for a wide variety of steel grades. It is well known that after the onset of a local instability additional strain is still necessary to induce fracture. In a numerical simulation using shell elements this post instability strain becomes of increasing importance when the ratio of the characteristic shell element edge length to its thickness decreases. Today’s shell element lengths in industrial applications can be of the same order as the width of the necking zone. Therefore, the post instability strain may contribute to a significant percentage of the shell elements total elongation up to fracture and cannot be neglected any longer. The enhanced necking model termed Post Instability Strain Model for Shells (PIS Model) combines the model for localized necking with the model for ductile shear fracture. Guided by careful Nakajima type tests of three representative steel grades, the development of the PIS Model also focuses on minimizing the influence of varying shell element edge lengths. The model is implemented in such a way that the elongation of a shell element after onset of necking is highly independent of the element edge length. The improvements achieved with this model are demonstrated by validation examples which include small specimens (tensile specimen with circular hole), technological sheet metal forming experiments (Nakajima tests) and finally the 3-point bending test of an automotive component. Gese, H. Oberhofer, G. Dell, H. 6th German LS-Dyna Forum 2007 October 11 – 12, 2007, Frankenthal, Germany MATFEM Partnerschaft Dr. Gese & Oberhofer, München Consistent Modelling of Plasticity and Failure in the Process Chain of Deep Drawing and Crash with User Material Model MF-GenYld + CrachFEM for LS-Dyna In automotive industry the need to build light weight structures with increased demands for passenger safety can be significantly supported by numerical simulation. However a correct material description is essential. For a correct prediction of failure behaviour of metallic materials in the crash simulation it can be necessary to consider the complete process chain of forming and crash. Today crash analysis cannot be performed with the same degree of discretization like in forming simulation. In order to transfer results between different meshes a mapping process of the relevant element variables has to be introduced. The user material model MF GenYld + CrachFEM has been developed at MATFEM as an universal material model which can be combined with finite element code LS-Dyna and other finite element codes with explicit-dynamic time integration scheme. The module MF GenYld describes the elastoplastic material behaviour. It has a modular structure which allows to combine different yield loci with a variety of hardening models. Besides different models for isotropic hardening, it includes advanced models for isotropic-kinematic hardening and anisotropic hardening. The comprehensive failure model CrachFEM allows to predict material failure due to localized necking (for shell discretization), ductile fracture and shear fracture. The models for ductile and shear fracture can be used consistently for shell and solid discretization. As the algorithm Crach for the prediction of localized necking requires information about the complete deformation history of an elementan orthotropic mapping is inevitable. Within this investigation the application of material model MFGenYld + CrachFEM for forming and crash simulations is discussed. The technical background for the mapping of the deformation history is introduced. Gese, H. 8th European Conference for Forming Automotive Aluminium and Steel materials, 27–28 September 2007, Bad Nauheim, Germany MATFEM Partnerschaft Dr. Gese & Oberhofer, Munich Current status on determining material characteristics for the design of sheet metal forming operations Major motivations for an improved representation of the sheet material in the virtual development process of forming operations is to reduce the number of critical processes in the press shop, to predict properties of the formed part (local hardening, thickness etc.) and to be able to assess new materials without having empirical knowledge a priori. The comprehensive test programmes for the characterization of plasticity and failure for standard and advanced sheet materials are outlined. These test programmes are more expensive than standard test suites, but allow for a better representation of the investigated material in simulation, which also benefits subsequent simulations such as crash or fatigue analyses. Lanzerath, H.1 Bach, A.1 Failure prediction of Boron steels in crash Oberhofer, G.2 Gese, H.2 2007 SAE World Congress. April 16–19, 2007, Cobo Center, Detroit, Michigan, USA (1) Ford Research and Advanced Engineering Europe (2) MATFEM Partnerschaft Dr. Gese & Oberhofer, Munich Hot-formed steels (here called “Boron steels”) offer a great weight saving potential versus conventional coldformed steels used for crash relevant structural parts. Boron steels allow complex shaped parts due to the hotforming process, which can be a direct or indirect process. In the direct hot forming process first the sheet metal with an initial yield strength of around 400 MPa is blanked and then heated in an oven up to some 950 °C. In the next step the “hot” sheet metal is stamped and at the same time rapidly cooled down (quench hardening process) in the stamping die. During this process the yield strength increases up to approximately 1100 MPa in the final stamped part. Due to the enormous strength and the very good dimensional control (nearly no springback), more and more hot-formed parts are used in vehicle design. Especially in the body structure hot-formed steels are used for crash relevant parts. However the quench hardening process causes a significant reduction of the material ductility. The designer has to ensure via crash simulation that the crash impact can be handled without fracture of the Boron steel component. The prediction of the deformation and fracture behavior therefore is one of the major interests during the vehicle development process. The paper will give an overview on material properties of Boron steels, a failure modeling approach for crash simulation, the validation of the failure modeling approach and application examples that demonstrate the lightweight potential of Boron steels for structural applications and the benefit of the chosen simulation approach. Dell, H. Gese, H. Oberhofer, G. NUMIFORM ’07, Materials Processing and Design: Modeling, Simulation and Applications, 18 – 21 June 2007 MATFEM Partnerschaft Dr. Gese & Oberhofer, München, Germany CrachFEM – A Comprehensive Approach for the Prediction of Sheet Metal Failure A correct prediction of a possible sheet metal failure is essential to sheet metal forming simulations. The use of the conventional forming limit curve (FLC) is the standard approach on industrial level for this problem. The FLC concept is limited to the case of linear strain paths, however. The initial FLC is no longer valid in the case of nonlinear strain paths. The algorithm Crach allows for a transient prediction of the forming limit for localized necking in the case of arbitrary strain paths. For high strength steels and aluminium sheets there is also a risk of fracture without prior localized necking. This paper presents a fracture model that accounts for ductile fracture (caused by void nucleation, void growth and void coalescence) and shear fracture (caused by shear band localization). For both types of fracture, stress state parameters are introduced which can be applied for the plane stress state and for the general 3D stress state. The fracture limits are defined by the equivalent plastic strain at fracture as a function of the stress state parameter based on different experiments with nearly constant stress state parameter. These fracture limit curves are a basis for an integral damage accumulation in the sheet metal forming simulation for arbitrary nonlinear strain paths. The model Crach for the prediction of localized necking and the two fracture models for ductile and shear fracture are combined in the comprehensive failure model CrachFEM. CrachFEM can be linked via a user material model MF GenYld to different explicit FEM codes. Leppin, C.1 Daniel, D.2 Formability Prediction of Aluminum Sheet in Automotive Applications Shahani, R.3 Gese, H.4 Dell, H.4 NUMIFORM ’07, Materials Processing and Design: Modeling, Simulation and Applications, 18–21 June 2007 (1) Alcan Technology & Management, Neuhausen, Switzerland (2) Alcan – Centre de Recherches de Voreppe, Centr’Alp – Voreppe, France (3) Alcan – Neuf-Brisach, ZIP Rhénane Nord – Biesheim, France (4) Matfem Partnerschaft Dr. Gese & Oberhofer, München, Germany In the following paper, a full mechanical characterization of the AA6016 T4 aluminum alloy car body sheet DR100 is presented. A comprehensive experimental program was performed to identify and model the orthotopic elastoplastic deformation behavior of the material and its fracture characteristics including criteria for localized necking, ductile fracture and shear fracture. The commercial software package MF GenYld + CrachFEM in combination with the explicit finite element code Ls-Dyna is used to validate the quality of the material model with experiments, namely, prediction of the FLD, deep drawing with a cross-shaped punch and finally, analysis of a simplified hemming process using a solid discretization of the problem. The focus is on the correct prediction of the limits of the material in such processes. Oberhofer, G.1 Franzen, M.2 Dell, H.1 Kunststoffe+Simulation 13. – 14. Juni 2007, Fellbach/Stuttgart (1) MATFEM Partnerschaft Dr. Gese & Oberhofer, München (2) Ford Forschungszentrum Aachen GmbH Modelling of Non-Reinforced Polymeric Material Behaviour in the Explicit FEM Method for Crash Simulation The material behaviour of polymer materials in automotive crash simulation has hitherto been described with limited accuracy due to the fact that advanced material models, which take into account the complex yield and fracture behaviour of polymeric materials, are commercially not available. To significantly improve crash simulations, which means the improved prediction of elasto-plastic behaviour as well as failure behaviour, advanced polymer material models, material data analysis and material tests are inevitable. In this presentation a material model, which is able to describe the complex hardening and failure behaviour will be presented. This includes suitable methods for material testing, material data evaluation as well as material data preparation for the input in Finite Element Codes. MATFEM has developed the material model MF-GenYld which, as well as taking into account the varying hardening behaviour in tension, compression, shear and biaxial loading, is also capable of accounting for the high degree to which the hardening behaviour depends on the strain rate. This material model has been coupled with CrachFEM for taking into account the influence of loading condition and strain rate onto the fracture prediction. On behalf of the Ford Forschungszentrum Aachen GmbH extensive experimental tests have been carried out for non-reinforced polymeric materials. In a research project Ford Forschungszentrum Aachen GmbH and MATFEM validated the material model for automotive applications. For this case the process of material data processing for the use in material models for the explicit FEM simulation is pointed out and first validation results are shown. Gese, H. Oberhofer, G. Dell, H. NAFEMS Conference “Material Modeling”, December 5 – 6, 2006, Niedernhausen near Wiesbaden, Germany MATFEM Partnerschaft Dr. Gese & Oberhofer, München MF GenYld + CrachFEM – A Modular Material and Failure Model for Structural Materials to be Used in Metal Forming and Crash Simulations The material and fracture model MF GenYld + CrachFEM has been developed as a universal material model to be combined with finite element codes based on the explicit time integration scheme. In this way, it allows a consistent description of a structural material – metal or polymer – in a development process using different finite element codes at various suppliers and OEMs. The material model MF GenYld has a modular structure which allows to combine different yield loci with a variety of hardening models. Besides different models for isotropic hardening, it includes advanced models for isotropic-kinematic and anisotropic hardening. The comprehensive failure model CrachFEM allows to predict material failure due to localized necking (for shell discretization), ductile fracture and shear fracture. The models for ductile and shear fracture can be used consistently for shell and solid discretization. A universal material model approach enables the use of standardized experimental and theoretical methods for the evaluation of the required material parameters. This might improve the process of quality assurance in the field of material data processing. Oberhofer, G.1 Gese, H.1 Groß, M.1 Kühling, M.2 Numerical Analysis of the Balloon Dilatation Process Using the Explicit Finite Element Method for the Optimization of a Stent Geometry Seidel, D.2 LS-Dyna Forum 2006, 12.–13. Oktober 2005, Ulm (1) MATFEM Partnerschaft Dr. Gese & Oberhofer, München (2) Boston Scientific Technologiezentrum GmbH, München Endovascular stent surgery is a minimally invasive surgical procedure to treat disorders of the circulatory system as blockage of blood vessels caused by the build up of plaque (fatty deposits, calcium deposits, and scar tissue) in the arteries, a condition called atherosclerosis. Nearly all of the medium-sized and large blood vessels in the body’s vascular system can be accessed by a catheter system. This fact has contributed to a rapid increase in the performance of endovascular stent surgery. Before implantation the stent is crimped onto a balloon which results in a diameter reduction. The balloon catheter with the collapsed stent is placed in the narrowed artery. In the blood vessel the stent is dilated through inflation of the balloon. Then, the balloon catheter is deflated, leaving the stent in place to hold the artery open. The catheter and the guide wire are removed. Deflation of the balloon leads to a certain amount of recoil, reinforced by the outer pressure of the blood vessel. The remaining mean stresses at this state are the initial condition for a possible fatigue calculation. Due to heartbeat induced blood pressure oscillation the stent is exposed to high cycle fatigue loading on one side and to low cycle fatigue loading due to daily body movement on the other side. The introduction of new stent materials and the optimization of the stent design can be supported by Finite Element Simulation. Within this study the load steps crimping, balloon dilatation and recoil will be investigated. The correct modelling of the described load steps with the finite element method demands the use of an isotropic-kinematic hardening model as changes in the loading direction appear. Therefore the Chaboche model for a combined isotropic-kinematic hardening has been used in the virtual development process with the FEM-code. The Chaboche model is an optional hardening model in the general user material MF GenYld developed by MATFEM. Additionally it has to be taken into account that the maximum fracture strain is a function of the stress state. The algorithm CrachFEM can be coupled with MF GenYld for a prediction of fracture initiation during dilatation. As a prerequisite for the simulation of the balloon dilatation process a folded structure of the balloon has to be generated. For the given balloon geometry – with conical shapes at both ends – analytical folding tools for airbags exhibit problems in mapping the unfolded structure to the folded structure. Therefore the balloon folding process has been simulated directly with FEA. The explicit FEA code LS-DYNA in MPP version has been used for all analyses in this project. The explicit-dynamic integration method has significant advantages for FEA model with a great number of DOFs (CPU times increases only linearly with number of DOFs) and complex contact conditions (i.e. contact of tools and stent, possible self contact in the final phase of crimping and contact between stent and balloon). Kühling, M.1 Scheuermann, T.1 Seidel, D.1 Oberhofer, G.2 Gese, H.2 Metzmacher, G.2 Gross, M.2 Novel Learning Tool to predict Mechanical Stent Performance for Next Generation Materials Beyond Stainless Steel World Congress of Biomechanics WCBM, Jul 29 – Aug 4, 2006, Munich, Germany Background. Expertise on stent design development with stainless steel (SST) materials and close-to-SST alloys is available at Boston Scientific. But new-generation (NG) metal alloys beyond SST with other material deformation characteristics during crimping and deployment cannot leverage these experiences. (1) Boston Scientific Technologizentrum GmbH, München Motivation. During the prototype development of a balloon-expandable iliac stent, BCTZ has developed new concepts with MATFEM which assisted us in a highly valuable way during design development and freeze. With the mutually developed simulation tool, variations of designs and processes (e.g. for heattreatments) can easily be evaluated and the resulting stent performance can be assessed. This modular concept contains standalone stent design tools, balloon tools and material cards. (2) MATFEM Partnerschaft Dr. Gese & Oberhofer, München Method. Easy specimen test data generated at test are transferred to MATFEM. MATFEM generates individual material cards per process run. These material data and the specific design data are put together in the FEM software LS-Dyna. This numeric data model then simulates stent performance from crimping, deployment and compression. Two diagrams record mechanical stent data (crimp springback, stent length change, recoil, compression resistance) during expansion. A third diagram records acute fracture resistance during expansion. With these diagrams, stent criteria can easily be balanced. The impact of design – or process changes – on stent performance can be predicted. Summary. This method’s great value is to learn precisely about NG materials’ mechanical behaviour and to optimise stent designs with respect to that specific characteristic. Since all the material data come from simple specimen testing (e.g. on rings), there is no need to have stent fabrication processes for these NG materials available. The method’s value and the predicted results for stent performance were benchmarked against stent testing. The results are very promising. Gese, H. Dell, H. FLC Zürich, March 15 – 16, 2006, IVP, Eidgenössische Technische Hochschule Zürich, Switzerland MATFEM Partnerschaft Dr. Gese & Oberhofer, München Numerical Prediction of FLC with the Program Crach This paper describes the numerical algorithm Crach for the prediction of localized necking in sheet metal. Crach is based on an instability model with an initial imperfection. In contrary to the Marciniak model the imperfection has a finite dimension in the Crach algorithm which improves the accuracy of the model for cases with biaxial tension. Crach uses a comprehensive material model which includes all relevant effects as plastic orthotropy, combined isotropic-kinematic hardening and strain rate sensitivity. Therefore Crach can be applied to a wide variety of materials and boundary conditions (i.e. necking during hot forming or necking at high strain rates). The special strength of Crach is the prediction of necking for nonlinear strain paths. This ability is based on an accurate model for isotropic-kinematic hardening. Two different software products have been developed on the basis of the algorithm Crach at MATFEM. The PC software CrachLab is a tool for the prediction of the initial FLC or the FLC after a defined pre-straining. All necessary input can be derived from standard tensile tests. CrachLab has been validated for a wide range of sheet qualities. The most attractive application of the algorithm Crach is the software CrachFEM. CrachFEM can be directly coupled with finite element codes for sheet metal forming and crash simulation for a transient prediction of localized necking for shell elements with arbitrary strain paths. Criteria for ductile and shear fracture have been included in CrachFEM to cover the whole variety of fracture modes for sheet materials. Gese, H. Dell, H. Oberhofer, G. LS-Dyna Forum 2005, 20.–21. Oktober 2005, Bamberg MATFEM Partnerschaft Dr. Gese & Oberhofer, München Systematische Aufbereitung von Werkstoffdaten für die Blechumformsimulation Motivation. Die geometrische Diskretisierung der Werkzeuge und der Platine in der industriellen Blechumformsimulation mit der Finite-Elemente-Methode hat heute bereits einen sehr hohen Stand erreicht. Das größte Potential zur Verbesserung der Vorhersagegenauigkeit steckt im Moment in der Entwicklung und im Einsatz von höher entwickelten Materialmodellen. Das Materialmodell umfasst dabei die Beschreibung der elastoplastischen Eigenschaften des Bleches und dessen Versagensgrenzen. Fließortmodelle. Neben dem bisher überwiegend in der Blechumformsimulation verwendeten Fließort nach Hill 1948, welcher nur für eine begrenzte Gruppe von Stahlblechen ausreichend genau ist, wurden zwischenzeitlich höher entwickelte Fließorte in LS-DYNA implementiert (Barlat-Lian 1989, Barlat 1996, Barlat 2000). Diese erlauben eine Beschreibung von Al-Blechwerkstoffen und eine differenzierte Beschreibung von unterschiedlichen Stahlblechgüten. Während für die Definition des Fließortes nach Hill–1948 die Angabe von R-Werten in 3 Orientierungen zur Walzrichtung (R-Wert beschreibt die plastische Anisotropie des Bleches) ausreichend ist, erfordert die Anpassung der höher entwickelten Fließorte ein erweitertes Prüfprogramm. Neben dem uniaxialen Fließwiderstand müssen auch Fließgrenzen bei anderen Spannungszuständen herangezogen werden. Im Vortrag wird ein Versuchsprogramm vorgestellt, welches die Messung des äquibiaxialen Fließwiderstandes und des Schubfließwiderstandes beinhaltet. Mit einem Optimierungsprogramm können aus allen Versuchsdaten die Parameter des Fließortmodells abgeleitet werden. Beispielhaft wird dieses Vorgehen im Vortrag anhand des Fließortes nach Barlat 2000 (*Mat_Barlat_Yld2000 in LS-DYNA) beschrieben. Die Unterschiede zum Fließort nach Hill–1948 werden diskutiert. Verfestigungsmodelle. Wie sich der Fließwiderstand mit zunehmender Formänderung und in Abhängigkeit der Dehnrate entwickelt, wird durch das Verfestigungsmodell beschrieben. Üblicherweise wird bei Tiefziehsimulationen ein isotropes Verfestigungsmodell ohne Dehnrateneinfluss verwendet ? was eine proportionale Aufweitung des anfänglichen Fließortes mit zunehmender Vergleichsformänderung bedeutet. Für einige Blechwerkstoffe (z.B. weiche Tiefziehstähle) ist die Berücksichtigung des Dehnrateneinflusses für ein brauchbares Simulationsergebnis jedoch notwendig. Bei Blechumformoperationen (Tiefziehen, Innenhochdruckumformen u.a.) können lokal sehr große plastische Vergleichsdehnungen auftreten. Um diese Prozesse mittels FEM-Simulation genau abbilden zu können, müssen Fließwiderstandskurven bis zu den maximal auftretenden Vergleichsformänderungen vorgegeben werden. Typischerweise wird hierzu die Fließwiderstandskurve aus dem uniaxialen Zugversuch in Walzrichtung mit analytischen Verfestigungsmodellen approximiert und für hohe Formänderungen extrapoliert. Diese Vorgehensweise ist mit entsprechenden Unsicherheiten behaftet. Im Vortrag werden experimentelle Methoden behandelt, welche es erlauben die Verfestigung eines Blechwerkstoffes auch bei hohen Formänderungen zu beschreiben. Versagensmodelle. Ein wesentliches Ziel der Umformsimulation ist die Prognose eines Werkstoffversagens und dessen Vermeidung durch iterative Optimierung der Prozessparameter. Deshalb ist es notwendig, dass die verwendeten Materialmodelle auch geeignete Versagenskriterien beinhalten. Insbesondere bei Al-Blechwerkstoffen und höherfesten Stählen muss ein potentielles Versagen in Betracht gezogen werden. Bei der monotonen plastischen Verformung von Blechen sind grundsätzlich zwei unterschiedliche Versagensarten festzustellen ? der duktile Trennbruch (ausgelöst durch Porenbildung, -wachstum und -vereinigung) und der Scherbruch (ausgelöst durch Scherbandlokalisationen). Darüber hinaus kann in dünnwandigen Strukturen ? beispielsweise Blechen – eine lokale Einschnürung (Zuginstabilität) dem Bruchversagen unmittelbar vorausgehen. Da die Breite der lokalen Einschnürung aber in der Größenordnung der Blechdicke liegt, kann die Einschnürung bei Verwendung von Schalenelementen im Simulationsmodell nicht direkt abgebildet werden. Deswegen muss die Instabilität als eigenständiges Versagenskriterium behandelt werden. Die bisher in kommerziellen FEM-Programmen verfügbaren Materialmodelle sind hinsichtlich der Versagensbeschreibung noch sehr eingeschränkt. Meist wird bei der Blechumformsimulationen nur das konventionelle Grenzformänderungsschaubild herangezogen. Dieses gilt eingeschränkt nur für den Fall linearer Dehnungspfade. Für die Bewertung eines Versagens durch duktilen Trennbruch oder Scherbruch liegen keine umfassenden Modelle vor. Ein für alle Versagensarten der Blechumformung maßgeschneidertes Versagensmodell wurde von MATFEM mit der Software CrachFEM realisiert, welche als User-Materialmodell an LS-DYNA gekoppelt wurde. Im Vortrag werden die notwendigen Versuche zur Kalibrierung des Versagensmodells von CrachFEM diskutiert. Anwendungsbeispiele. Anhand von einigen Umformbauteilen wird im Vortrag der Einfluss der Qualität des Materialmodells auf die Wiedergabegenauigkeit der Dehnungsverteilung und der Prognose des Versagens aufgezeigt. Werner, H.1 Hooputra, H.1 Weyer, S.1 Applications of Phenomenological Failure Models in Automotive Crash Simulations Gese, H.2 VIII International Conference on Computational Plasticity COMPLAS, Oñate E.; Owen D.R.J. (Eds.) – CIMNE, Barcelona, 2005 (1) BMW AG, Forschungs- und Innovationszentrum, München, Germany (2) MATFEM Partnerschaft Dr. Gese & Oberhofer, München, Germany The numerical prediction of the structural behaviour in extreme loading cases like crash events continues to be a challenging task in the foreseeable future. The need to reduce weight which in turn may lead to reductions in fuel consumption, CO2 emissions and an increase in driving dynamics can only be accomplished by materials combining high-strength with sufficient ductility. Therefore, it is of increasing importance to simulate the failure modes of a body in white as well as energy absorbing trim components within the passenger compartment or the exterior to mitigate pedestrian impact situations. In the presentation the essential features of a comprehensive failure model based on macroscopic stresses and strains will be presented. This model takes three different mechanisms into consideration which lead to failure in structures: Instability which manifests itself in the formation of a neck in thin sheet (metals) loaded in the membrane plane. Necking in itself is not equivalent to failure, but it is immediately followed by material failure and can therefore be utilized under certain conditions in numerical modelling. Typical fields of application are structures, discretized with coarse shell elements. Ductile fracture which is conceptually based on the growth, nucleation and finally coalescence of microvoids up to fracture. Shear fracture induced by a localization of shear bands. Although the conceptual splitting into three failure modes mentioned above is well justified for metallic materials, it is used for plastics as well. The basic methods of material characterisation to establish the parameters of the material model are similar. Differences arise from fabrication effects like sheet forming, die casting of components or the fibre orientation in reinforced plastics. By mapping the dominant parameters of the fabrication process as initial conditions to a subsequent crash simulation, some of these effects are incorporated in the failure analysis. The capabilities of the failure model are demonstrated by comparing component tests from structural components to experimental tests. Axially crashed aluminium profiles, joined with self-piercing rivets whose failure characteristics are also modelled by a phenomenological model will be shown. Further examples include impact tests on ribbed plastic components where failure plays an essential role. A structural reinforcement component subjected to bending will serve as an example for the necessity of using a comprehensive model to simulate the failure process. Kessler, L.1 Beier, Th.1 Werner, H.2 Horstkott, D.3 Dell, H.4 Gese, H.4 6th Numisheet Conference 2005, “On the Cutting Edge of Technology” August 15–19, 2005, Detrit, Michigan, U.S.A. (1) ThyssenKrupp Stahl AG, Dortmund, Germany (2) BMW Group, Forschungsund Innovationszentrum, Munich, Germany (3) ThyssenKrupp Umformtechnik GmbH, Bielefeld, Germany (4) MATFEM Partnerschaft Dr. Gese & Oberhofer, Munich, Germany Material Selection for an Ultra High Strength Steel Component Based on the Failure Criteria of CrachFEM An increasing use of combining more than one process step is noticed for coupling crash simulations with the results of forming operations – mostly by inheriting the forming history like plastic strain and material hardening. Introducing a continuous failure model allows a further benefit of these coupling processes; it sometimes can even be the most attractive result of such a work. In this paper the algorithm CrachFEM for fracture prediction has been used to generate more benefit of the successive forming and crash simulations – especially for ultra high strength steels. The choice and selection of the material grade in combination with the component design can therefore be done far before the prototyping might show an unsuccessful crash result; and in an industrial applicable manner. Gese, H. Dell, H. Oberhofer, G. DVM-Tag 2005: Dünnwandige Strukturbauteile, 27.–29. April 2005, Berlin MATFEM Partnerschaft Dr. Gese & Oberhofer, München Verbesserte Materialmodelle für die virtuelle Auslegung von Leichtbaustrukturen im Automobilbau bei Crashbelastung Um die steigenden Anforderungen an die Crashsicherheit einer Fahrzeugkarosserie bei gleichzeitigem Leichtbau zu erfüllen, wurden in den letzten Jahren eine Vielzahl neuer Werkstoffe im Automobilbau eingeführt. Hierbei sind höher- und höchstfeste Stähle, Aluminium- und Magnesiumwerkstoffe sowie unverstärkte und kurzfaserverstärkte Kunststoffe zu nennen. Für jedes Bauteil ist abzuwägen, mit welchem Werkstoff die gestellten Anforderungen erfüllt werden können. Im Hinblick auf die virtuelle Fahrzeugentwicklung stellt dabei die prozessübergreifende Auslegung von Komponenten unter Berücksichtigung ihres Fertigungsprozesses eine besondere Herausforderung dar. Neben einer adäquaten Beschreibung der elasto-viskoplastischen Werkstoffverhaltens ist die korrekte Prognose des lokalen Werkstoffversagens von zentraler Bedeutung zur Vorhersage der Bauteildeformation und seiner Energieaufnahme. Im Vortrag wird eine Übersicht über verbesserte Plastizitätsund Versagensmodelle gegeben. Zudem werden Simulationstechniken beschrieben, welche es ermöglichen, den Fertigungsprozess der Komponenten mit zu berücksichtigen. Neben bereits realisierten Entwicklungen werden auch noch existierende Defizite aufgezeigt. Beispiele in der Übersicht sind ein durchgängiges Plastizitäts- und Versagensmodell für Blechwerkstoffe zur Beschreibung der Prozesskette Tiefziehen-Crash und ein neues Materialmodell für Kunststoffe, welches die anisotrope Verfestigung dieser Werkstoffgruppe abbildet. Am Beispiel von dünnwandigen Gussbauteilen werden noch existierende Defizite bei der Berücksichtigung der Prozesshistorie (Einfluss der Gieß- und Erstarrungsparameter auf die mechanischen Eigenschaften) aufgezeigt. Gese, H.1 Keller, S.2 Dell, H.1 NeMa-Tagung “Numerische Simulation – Verarbeitungsprozesse und prozessgerechte Bauteilgestaltung, Fokus Metalle”, Bayreuth 2. – 3. November 2004 (1) MATFEM Partnerschaft Dr. Gese & Oberhofer, Nederlingerstrasse 1, D–80638 München (2) Hydro Aluminium Deutschland GmbH, Forschung und Entwicklung, Bonn Verbesserte Plastizitäts- und Versagensmodelle in der Umformsimulation Mit der heute verfügbaren Rechnerleistung sind Blechumformsimulationen auf Basis der Methode der finiten Elemente mit einem hohen geometrischen Diskretisierungsgrad möglich. Das größte Potential für eine Erhöhung der Prognosegenauigkeit liegt in der Verwendung von höher entwickelten Plastizitätsund Versagensmodellen. In diesem Beitrag wird ein mögliches Vorgehen am Beispiel des Tiefziehens einer AlMgMn-Blechlegierung aufgezeigt. In einem ersten Schritt werden unterschiedliche Fließorte diskutiert, die eine Möglichkeit bieten, die Plastizität von Al-Blechen in guter Näherung abzubilden. Das Versuchsprogramm zur Messung der Fließwiderstände bei unterschiedlichen Spannungszuständen wird vorgestellt. Im Weiteren wird das Verfestigungsverhalten behandelt und es werden experimentelle Methoden zur Messung des Fließwiderstandes bei hohen Vergleichsformänderungen diskutiert. Eine genaue Beschreibung der lokalen plastischen Verformung ist eine grundlegende Voraussetzung für eine gute Versagensprognose. Zur Versagensprognose wird bei der Blechumformsimulation konventionell das Grenzformänderungsdiagramm (GFD) eingesetzt. Dieses dient zur Vorhersage einer lokalen Einschnürung mit nachfolgendem Bruch. Es ist aber nur bei linearen Dehnungspfaden gültig. Andere Versagensarten, wie der Scherbruch oder der duktile Trennbruch, werden heute bei der Versagensprognose meist nicht herangezogen. In diesem Beitrag wird das neu entwickelte Versagensmodell CrachFEM vorgestellt, welches gleichzeitig die Versagensgefahr hinsichtlich lokaler Einschnürung, duktilem Trennbruch und Scherversagen für nichtlineare Dehnungspfade bewerten kann. Das Potential dieses Versagensmodell wird im Beitrag am Beispiel der Umformgrenzen beim Tiefziehen eines rechteckigen Napfes (“Butterdose”) aufgezeigt. Die Simulationen wurden mit dem kommerziellen FEM-Code PAM-Stamp durchgeführt. Hooputra, H.1 Gese, H.2 Dell, H.2 A Comprehensive Failure Model for Crashworthiness Simulation of Aluminium Extrusions Werner, H.1 International Journal of Crashworthiness, Vol. 9, No.5, Woodhead Publishing (2004), pp. 449–463. (1) BMW Group, Forschungsund Innovationszentrum, Knorrstrasse 147, D–80788 München (2) MATFEM Partnerschaft Dr. Gese & Oberhofer, Nederlingerstrasse 1, D–80638 München A correct representation of the plastic deformation and failure of individual component parts is essential to obtaining accurate crashworthiness simulation results. The aim of this paper is to present a comprehensive approach for predicting failure in a component based on macroscopic strains and stresses. This approach requires the use of a number of different failure mechanism representations, such as necking (due to local instabilities), as well as ductile and shear fracture. All failure criteria have been developed in a way to include the influence of non-linear strain paths. The effectiveness of this approach in predicting failure is then discussed by comparing numerical results with test data by three point bending and axial compression tests of double chamber extrusion components. All studies presented in this paper were carried out on extrusions made from aluminium alloy EN AW–7108 T6. Gese, H.1 Werner, H.2 Hooputra, H.2 Dell, H.2 CrachFEM – A Comprehensive Failure Model for Metallic Structures in Sheet Metal Forming and Crash Simulation Heath, A.3 Europam 2004, October 11th to 13th, Paris, France Metallic materials generally fail due to one or a combination of the following mechanisms after plastic deformation: (1) MATFEM Partnerschaft Dr. Gese & Oberhofer, München ductile fracture (based on initiation, growth and coalescence of voids), shear fracture (based on shear band localisation), instability with localised necking (followed by ductile or shear fracture inside the neck area). (2) BMW Group, München (3) ESI GmbH, Eschborn The first two fracture modes have been implemented in PamCrash as material model 52 for solid elements in a common project of BMW AG, ESI and MATFEM. The two fracture modes are treated independently from each other. An integral fracture criterion according to V.L. Kolmogorov is used for the damage accumulation in both fracture modes in material 52. The equivalent plastic strain is a function of the stress triaxiality for ductile fracture and the newly introduced stress parameter for shear fracture (by Professor H. Dell). The potential of the Kolmogorov-Dell model (material 52) is highlighted in the presentation by a geometrically detailed analysis of a spot weld failure using solid elements. Material 52 covers both failure modes occurring in experiments with different sheet qualities – shear failure of spot weld and peeling of spot weld. Instability is necessary as a third failure criterion, if thin walled structures are discretized with shell elements. The effect of localized necking (well known from the forming limit curve in deep drawing) cannot be modelled directly with shell elements as the width of the localized neck is in the dimension of the sheet thickness and the typical edge length of the shells are 5–10 times sheet thickness in crash simulation. An algorithm CRACH is used to predict localized necking based on the macroscopic strains of the shell elements. The CRACH algorithm uses an isotropic-kinematic hardening model to account for nonlinear strain paths. The algorithm CRACH for the prediction of localized necking has been combined with the criteria for ductile and shear fracture to form the comprehensive failure model CrachFEM. A tensorial damage accumulation for ductile and shear fracture is used in this case to account for nonlinear strain paths in extension to material 52. CrachFEM has been linked to material model 128 in PamCrash V2004. CrachFEM transiently predicts the failure risks for the 3 fracture modes. Element elimination can be activated based on a critical value of the overall failure risk of an element (maximum of all 3 failure modes). The effectiveness of this approach in predicting failure is then discussed by comparing numerical results with test data in axial drop tests of double chamber extrusion components. The results presented were carried out on extrusions made of aluminum alloy AA7108.50-T6. The outlook of this presentation discusses the industrial use of material 128 in the crash analysis at BMW. Schmid, M.1 Gese, H.2 Plege, B.3 Claus, J.1 Ein neuer Prüfkörper für das experimentelle Ranking von AlZylinderkopflegierungen bei thermomechanischer Beanspruchung Langer, S.4 Werkstoffwoche 2004, 21.–23. September 2004, München (1) DaimlerChrysler AG, Stuttgart (2) MATFEM Partnerschaft Dr. Gese & Oberhofer, München (3) DaimlerChrysler AG, Friedrichshafen (4) Rautenbach Aluminium Technologie GmbH, Wernigerode Aufgrund der steigenden Spitzentemperaturen in Hochleistungsdieselmotoren nimmt der Anteil der thermomechanischen Belastung (TMF) in Zylinderköpfen an der Gesamtschädigung zu. Deshalb muss die thermomechanische Ermüdung bei der Werkstoffauswahl neuer Bauteile berücksichtigt werden. Für ein Werkstoffranking bietet sich als Zwischenschritt zwischen der uniaxialen Prüfung von Rundproben (einachsiger, homogener Belastungszustand) und einem Bauteil-/ Motortest (sehr komplexe Belastungsverhältnisse) die Prüfung einer technologischen Probe mit inhomogenem, mehrachsigen Spannungszustand an. Die so genannte “Stegprobe” soll hier näher vorgestellt werden. Die Stegprobe ist eine Gussplatte mit zwei kreisförmigen Durchbrüchen. Der Mittelsteg zwischen den Löchern wird von einer Seite lokal induktiv geheizt. Die beiden äußeren Stege bleiben kalt und behindern die Ausdehnung des Mittelsteges. Die Wärmezufuhr im Mittelsteg wird über periphere Kühlkanäle wieder abgeführt. Durch die transiente Erwärmung wird die Dehnungsbehinderung an der Stegoberseite verschärft und es werden Druckspannungen induziert. Durch die Geometrie der Probe wird im kritischen Querschnitt ein mehrachsiger Spannungszustand erreicht. Bereiche mit unterschiedlichen Temperatur-ZeitVerläufen in der Stegprobe altern zudem unterschiedlich schnell, was in einem konventionellen TMF-Versuch nicht berücksichtigt wird. Durch die Wiederholung des Temperaturwechsels erfährt die Probe eine thermische Ermüdung. Mit einem verschärften Temperaturzyklus kann ein Anriss innerhalb von einem Tag Prüfzeit erzielt werden. Anhand von elastoplastischen FEM-Simulationen der Stegprobe werden die Belastungsverhältnisse in der Stegprobe bei der thermomechanischen Belastung qualitativ beschrieben und die Belastungsgrößen für einen Werkstoff beispielhaft quantifiziert. Für die Herstellung der Stegprobe wurde eine Kokille konstruiert, welche die Einstellung eines porenfreien Gefüges mit einem kleinen Dendritenarmabstand im Mittelsteg ermöglicht. Zudem lässt sich die Erstarrungsgeschwindigkeit in diesem Bereich über eine Kühlung im Werkzeug gezielt beeinflussen. Im Vortrag werden mit der Stegprobe ermittelte Lebensdauern von verschiedenen Legierungssystemen und von Proben mit unterschiedlichen Gießparametern gegenübergestellt. Die vorgestellten Arbeiten wurden im Rahmen eines von BMBF geförderten Verbundprojektes durchgeführt. Die Autoren danken dem BMBF für die Förderung der Arbeiten. Gese, Helmut Werner, Heinrich Aufsatz in Konstruktion, Heft 7/8–2004, Springer Verlag, S.4–6 Virtuelle Fahrzeugentwicklung verbessern mit neuen Materialmodellen: Crashsimulation im Automobilbau – Modellierung metallischer Werkstoffe Zentrales Thema der Crashsimulation ist die Bewertung und Verbesserung konstruktiver Maßnahmen zum Schutz der Verkehrsteilnehmer innerhalb und außerhalb des Fahrzeuges. Die raum-, gewichts- und kosteneffiziente Umsetzung kinetischer Energie in plastische Arbeit bei der weitgehend irreversiblen Deformation von Strukturkomponenten stellt den Kern dieser Aufgabe dar. Neben der konstruktiven Gestaltung einer Strukturkomponente hat der verwendete Werkstoff einen wesentlichen Einfluss auf deren Verhalten bei einer Crashbelastung. Den mathematischen Modellen für die Beschreibung des spezifischen Werkstoffverhaltens kommt daher eine besondere Bedeutung zu. Werner, H.1 Hooputra, H.1 Gese, H.2 Dell, H.2 Heath, A.3 Pyttel, T.3 Keßler, L.4 Yelisseyev, V.5 CrashMAT2004, 27./28. April 2004, EMI, Freiburg (1) BMW Group, München, (2) MATFEM Partnerschaft Dr. Gese & Oberhofer, München (3) ESI GmbH, Eschborn (4) Thyssen Krupp Stahl AG, Dortmund (4) TEST, Woronesch (Russland) Ein umfassendes Materialmodell für die Versagensbewertung in der Prozesskette Tiefziehen-Crash Die Zahl der in der Automobilindustrie eingesetzten Werkstoffe ist in den letzten Jahren deutlich angestiegen. Als Beispiel ist der Einsatz von Aluminium- und Magnesiumlegierungen zu nennen. Zur Gewichtsoptimierung werden zudem weiche Tiefziehstähle durch höher- und höchstfeste Stahlgüten substituiert. Im Hinblick auf die virtuelle Fahrzeugentwicklung stellt dabei die prozessübergreifende Auslegung von Komponenten unter Berücksichtigung ihres Fertigungsprozesses eine besondere Herausforderung dar. Bei den oben genannten Werkstoffen ist die korrekte Prognose des lokalen Werkstoffversagens neben einer adäquaten Beschreibung der Werkstoffplastizität von zentraler Bedeutung. Zwei unterschiedliche Versagensarten können bei der statischen und dynamischen Verformung von Metallen beobachtet werden. Der duktile Trennbruch entsteht infolge von Porenbildung, -wachstum und -koaleszenz; der Scherbruch resultiert aus einer Scherbandlokalisation. Bei Verwendung von Schalenelementen zur Abbildung von dünnwandigen Strukturen (z.B. Bleche und Strangpressprofile) ist darüber hinaus die lokale Einschnürung, welche sich aufgrund einer plastischen Instabilität unter Zugbelastung ausbildet, zu berücksichtigen. Mit Hilfe des Algorithmus CrachFEM, der in dem kommerziellen FE-Programmsystem PAM-Solid implementiert ist, erfolgt eine kontinuierliche Bewertung der genannten Versagensmoden während der zeitlichen Integration der Bewegungsgleichungen. Für Volumenelemente findet dabei nur das Trenn- und Scherbruchkriterium Berücksichtigung; für Schalenelemente alle drei der oben genannten Kriterien. Zur Validierung des numerischen Modells wurde durch die quasi-statische Intrusion eines Impaktors in einer überwiegend aus höherfesten Stahlgüten gefertigten Rohkarosseriestruktur ein Versagen provoziert. In der Simulation wurde dieser Vorgang unter Berücksichtigung der Umformhistorie aus dem Fertigungsprozess modelliert. Als Beispiel für eine Versagensbewertung von Strukturen aus der Werkstoffgruppe Aluminium werden Komponententests von Extrusionsprofilen vorgestellt und mit Simulationsergebnissen korreliert. Gese, Helmut Werkstofftag 2003 — Neue Materialien für die Automobilindustrie, 4. November 2003, Gürzenich, Köln MATFEM Partnerschaft Dr. Gese & Oberhofer, München Verbesserte Material- und Versagensmodelle für die Umformund Crashsimulation Die Zahl der in der Automobilindustrie eingesetzten Werkstoffe ist in den letzten Jahren extrem angestiegen. Als Beispiel ist der Einsatz von Aluminium- und Magnesiumlegierungen zu nennen. Zur Gewichtsoptimierung werden zudem weiche Tiefziehstähle durch höher- und höchstfeste Stahlgüten substituiert. Diese Werkstoffe müssen in der Umform- und Crashsimulation korrekt abgebildet werden. Neben der Beschreibung der Werkstoffplastizität spielt auch die korrekte Prognose des lokalen Werkstoffversagens bei diesen Werkstoffen eine zentrale Bedeutung. Im Vortrag werden verbesserte Plastizitätsmodelle und die notwendigen Schritte für eine umfassende Versagensbewertung behandelt. Werner, H.1 Dell, H.2 Metzmacher, G.2 Kessler, L.3 Heath, A.4 Europam 2003, October 16th to 17th, Mainz, Germany (1) BMW Group, München (2) MATFEM Partnerschaft Dr. Gese & Oberhofer (3) Thyssen-Krupp Stahl AG, Dortmund (4) ESI GmbH, Eschborn Methodology, Validation and Application of a Failure Model Based on Transient Forming Limit Curves for Coupled Stamping and Crash Processes as Part of the IMPACT Project Predicting the failure of structural components in a crash event is one of the major challenges of numerical simulations in the automotive industry. Within the IMPACT project, supported by the European Communities Framework Program V, BMW Group and their partners focused on the development of a numerical model to enhance the failure prediction. Selected high strength sheet steel materials, typically used in the body in white, have been investigated. The presentation will give an overview of a failure model which is based on the transient prediction of localized necking in sheets taking into account the forming history of the body in white´s components. To validate the model, two- step forming processes have been carried out on a laboratory scale experimentally as well as numerically. These allowed for nonlinear loading path histories to assess the differences in forming limits as predicted by conventional forming limit diagrams (derived from experiments with linear strain paths). Finally the numerical model was applied to an industrially relevant test case. A body in white from a series sedan was subjected to a quasistatic B-pillar intrusion up to failure. A comparison of experimental and numerical results will show the capabilities of the transient failure model and indicate future steps of development, i.e. enhancing crack propagation simulation. Hooputra, H.1 Gese, H.2 Dell, H.2 A New Comprehensive Failure Model for Crashworthiness Simulation – Validation for Aluminum Extrusions Werner, H.1 Heath, A.3 Europam 2003, October 16th to 17th, Mainz, Germany (1) BMW Group, München, (2) MATFEM Partnerschaft Dr. Gese & Oberhofer, München (3) ESI GmbH, Eschborn A correct representation of the plastic deformation and failure of individual component parts is essential to obtaining accurate crashworthiness simulation results. The aim of this paper is to present a comprehensive approach for predicting failure in a component based on macroscopic strains and stresses. This approach requires the use of of three different fracture mechanism representations, such as necking (due to local instabilities), as well as ductile and shear fracture. The fracture criteria have been developed in a way to include the influence of non-linear strain paths. The fracture criteria have been included into the software CrachFEM. CrachFEM has been coupled with PamCrash via a new material model 128. CrachFEM transiently predicts a possible failure of elements and causes PamCrash to eliminate these elements. The effectiveness of this approach in predicting failure is then discussed by comparing numerical results with test data in three point bending and axial drop tests of double chamber extrusion components. All studies presented in this paper were carried out on extrusions made of aluminum alloy AA7108.50-T6. Schmid, M.1 Gese, H.2 Metzmacher, G.2 Claus, J.3 3 VDI-Tagung “Zylinderlaufbahn, Hochleistungskolben, Pleuel”, München, 16./17. September 2003 (1) EADS CRC, Ottobrunn (2) MATFEM Partnerschaft Dr. Gese & Oberhofer, München (3) DaimlerChrysler Forschung, Stuttgart Bewertung der thermomechanischen Ermüdung von Kolben aus AlGusslegierungen im außermotorischen Experiment und durch FEM-Simulation In diesem Beitrag wird das Ermüdungsverhalten von Kolben bei thermomechanischer Beanspruchung untersucht. Eine außermotorische Versuchsmethode mit realistischen Aufheiz- und Abkühlbedingungen zur schnellen Überprüfung der Lebensdauer von Kolben bei isolierter thermomechanischer Belastung wird vorgestellt. Um Informationen zur Höhe der mechanischen Dehnungen am Kolbenmuldenrand zu bekommen, wird eine faseroptische Dehnungs- und Temperaturmessmethode eingesetzt. Die außermotorische Kolbenprüfung wird parallel mit FEM simuliert und die prognostizierten Lebensdauern mit dem Experiment verglichen. Längerfristig kann das numerische Modell zur schnellen Vorauslegung von Kolben verwendet werden. Schmid, M.1 Claus, J.2 Thermal fatigue component test of engine parts Gese, H.3 Löhe, D.4 4 International Congress Thermal Stresses ICTS 2003, 8. – 11. Juni 2003, Blacksburg Virgina USA (1) EADS Corporate Research Center, München (2) DaimlerChrysler AG Research & Technology, Stuttgart (3) MATFEM Partnerschaft Dr. Gese & Oberhofer, München (4) Universität Karlsruhe (TH), Institut für Werkstoffkunde I In this study, the effect of thermal fatigue on pistons and cylinder heads is investigated. A test method with realistic heating and cooling conditions is presented. To get information about the constraints at critical regions of the investigated engine components, fiber optic strain and temperature gauges are used. The ratio of measured total strain and thermal strain gives information on proportion of thermal strain being obstructed. The thermal fatigue piston test is simulated with FE methods. The results of experimental and simulated life times are compared. Oberhofer, G.1 Dell, H.1 Dell, D.1 Gese, H.1 Lanzerath, H.2 Wesemann, J.2 Hombergsmeier, E.3 Improved Plasticity and Failure models for Extruded Mg-Profiles in Crash Simulations 3 4th European LS-DYNA Users Conference, May 22nd and 23rd, 2003, Ulm, Germany (1) MATFEM Partnerschaft Dr. Gese & Oberhofer, München (2) Ford Forschungszentrum Aachen (3) EADS Corporate Research Center, München The Crash Simulation of Magnesium Structures with Finite Element Methods demands the use of suitable material and failure models. An associated plasticity model describing the complex asymmetric yield behaviour in tension and compression of Mg extrusions was developed during the InMaK-project (Innovative Magnesium Compound Structures for Automobile Frames) supported by the German Federal Ministry for Education and Research (BMBF). Differences to the material model 124 in LSDYNA are exposed. In order to describe the failure behaviour of Mg extrusions under multi-axial loading in FEM crash simulation this constitutive model has been combined with a fracture model for ductile and shear fracture. The fracture model has been added to the user defined constitutive magnesium model in LS-DYNA. The experimental investigations carried out on model components are compared with numerical derived results. Experimental methods for fracture parameter evaluation are shown and general aspects of metal failure due to fracture as well as different modelling techniques are discussed. Lanzerath, H.1 Wesemann, J.1 Gese, H.2 Oberhofer, G.2 Dell, H.2 Hombergsmeier, E.3 Crash Simulation on Body Structural Components Made out of Extruded Magnesium 3 SAE Technical Paper Series 2003–01–259, March 3rd to 6th, 2003, Detroit (1) Ford Forschungszentrum Aachen (2) MATFEM Partnerschaft Dr. Gese & Oberhofer, München (3) EADS Corporate Research Center, München On the base of the Finite Element Method (FEM) a new constitutive model for extruded magnesium profiles, useful for crash relevant body components will be developed. This constitutive model will be implemented into commercial software as a user material law and can be used in the development of vehicle structures. First step is the material characterization of the magnesium extruded materials. On this base the constitutive model will be developed and validated. In the last step simulations will be performed with the new simulation tool and the results will be compared to test results. Gese, H.1 Dell, H.1 Keller, S.2 Yeliseyev, V.3 DVM-Tagung “Werkstoffprüfung 2002 Kennwertermittlung für die Praxis”, 5. und 6. Dezember 2002, Bad Nauheim (1) MATFEM Partnerschaft Dr. Gese & Oberhofer, München (2) VAW aluminium AG – A Hydro Aluminium Company, Forschung und Entwicklung, Bonn (3) Software Center TEST, Woronesch (Russland) Ermittlung von Fließwiderstandskurven bei großen Formänderungen für die Blechumformsimulation Bei Blechumformoperationen (Tiefziehen, Innenhochdruckumformen u.a.) können lokal sehr große plastische Vergleichsdehnungen auftreten. Um diese Prozesse mittels FEM-Simulation genau abbilden zu können, müssen Fließwiderstandskurven bis zu den maximal auftretenden Vergleichsformänderungen vorgegeben werden. Typischerweise wird hierzu die Fließwiderstandskurve aus dem uniaxialen Zugversuch in Walzrichtung mit geeigneten Verfestigungsmodellen approximiert und für hohe Formänderungen extrapoliert. Diese Vorgehensweise kann aber mit großen Fehlern behaftet sein. Am Beispiel einer Al-Legierung vom Typ AA5xxx wird gezeigt, dass bekannte Verfestigungsmodelle (Swift, Voce, Hockett-Sherby) zu stark abweichenden Extrapolationen der Fließwiderstandskurve führen. Es ist aber a priori nicht bekannt, welches der Verfestigungsmodelle für den jeweiligen Werkstoff gültig ist. Weiterhin können einige Verfestigungsmodelle im Bereich der Extrapolation im Sinne einer physikalischen Verfestigungsbeschreibung instabil werden. Ein Ausweg ist hier die direkte Messung der Verfestigung bei hohen Formänderungen. Hierzu werden drei Prüfmethoden beschrieben und diskutiert: Torsionsversuch in der Blechebene; hydraulischer Tiefungsversuch; Schichtstauchversuch. Für den Torsionsversuch in der Blechebene wurde der in [1] beschriebene Versuch weiterentwickelt. Durch Einbringen einer konzentrischen Nut zwischen innerem und äußerem Spannring wurde die plastische Verformung auf eine Zone mit definierter Breite reduziert. Der Versuch liefert eine über alle Orientierungen gemittelte Schubfließwiderstandskurve. Die Ableitung einer Fließwiderstandskurve für den uniaxialen Zugversuch unter Verwendung eines orthotropen Fließortes wird diskutiert. Die Versuchstechnik bei der Messung der Fließwiderstandskurve bei äquibiaxialem Zug mit der hydraulischen Tiefung wird nachfolgend beschrieben. Die Ableitung einer Fließwiderstandskurve für den uniaxialen Zugversuch erfordert ebenfalls die Verwendung eines orthotropen Fließortes. Mit dem Schichtstauchversuch (mehrere Lagen von Blech werden in Blechdickenrichtung uniaxial gestaucht) kann ebenfalls der Fließwiderstand bei äquibiaxialem Zug aufgenommen werden. In den Plastizitätsmodellen von Metallen wird unterstellt, dass die Überlagerung eines hydrostatischen Druckes die Fließspannung nicht beeinflusst wird. Deswegen ist der uniaxiale Druckversuch in Blechdickenrichtung im plastischen Bereich gleichwertig einem äquibiaxialen Zug in der Blechebene. Die Ableitung einer Fließwiderstandskurve für den uniaxialen Zugversuch aus der Fließwiderstandskurve des Stauchversuchs erfordert ebenfalls die Verwendung eines orthotropen Fließortes. Die Fließwiderstandskurven aller 3 Versuchsarten werden hinsichtlich ihrem Verfestigungsverhalten und der Reproduzierbarkeit verglichen. Die experimentell bei hohen Formänderungen gemessenen Fließwiderstandskurven werden mit extrapolierten Fließwiderstandskurven aus dem uniaxialen Zugversuch verglichen. Werner, H.1 Gese, H.2 2 DVM-Tagung “Werkstoffprüfung 2002 — Kennwertermittlung für die Praxis”, 5. und 6. Dezember 2002, Bad Nauheim (1) BMW Group, München (2) MATFEM Partnerschaft Dr. Gese & Oberhofer, München Zur Bedeutung dehnratenabhängiger Werkstoffkennwerte in der Crashsimulation Zentrales Thema der Crashsimulation ist die Bewertung und Verbesserung konstruktiver Maßnahmen zum Schutz der Verkehrsteilnehmer innerhalb und außerhalb des Fahrzeuges. Die raum-, gewichts- und kosteneffiziente Umsetzung kinetischer Energie in plastische Arbeit bei der weitgehend irreversiblen Deformation von Strukturkomponenten stellt den Kern dieser Aufgabe dar. Im Grenzfall ist darin auch die bei Bruchvorgängen für den Rissfortschritt aufgezehrte Energie enthalten, deren Vorhersage zur Zeit noch nicht mit ausreichender Genauigkeit möglich ist. Da die charakteristischen Zeiten für Strukturdeformationen bei Crashvorgängen im Bereich von Millisekunden liegen, ist die Kenntnis des Werkstoffverhaltens bei höheren Deformationsgeschwindigkeiten für die Simulation bedeutsam. Der Einflussfaktor Deformationsgeschwindigkeit steht im Mittelpunkt des Vortrages. Die Genauigkeit einer Crashsimulation wird durch eine Vielzahl weiterer Parameter beeinflusst, welche aber im Zeitrahmen des Vortrages nicht diskutiert werden können. Ausgehend von Crash-Lastfällen für die Strukturauslegung werden typische Dehngeschwindigkeiten in Fahrzeugkomponenten aus metallischen Werkstoffen ermittelt, welche die Anforderungen an die experimentelle Werkstoffprüfung definieren. Die Dehnratenempfindlichkeit von unterschiedlichen Stahlsorten und Al-Legierungen wird im relevanten Dehnratenintervall diskutiert. Die Aufbereitung von Fließwiderstandskurven aus den Hochgeschwindigkeitsprüfungen muss unter Berücksichtigung der physikalischen Vorgänge im Werkstoff und des verwendeten Simulationsmodells erfolgen. Für industrielle Crashsimulationen mit explizit-dynamischen FEM-Codes werden adiabate Fließwiderstandskurven benötigt. Neben der Abbildung der Werkstoffplastizität ist die Prognose des Werkstoffversagens eine weitere Aufgabe der Crashsimulation. Der wesentliche Versagensmechanismus bei duktilen Blechwerkstoffen ist die Zuginstabilität. Bei linearen Dehnungspfaden entspricht dieses Versagen dem Grenzformänderungsschaubild. Ist das Verfestigungsverhalten eines Werkstoffes signifikant von der Dehngeschwindigkeit beeinflusst, so sind gegenüber dem quasistatischen Fall im Grenzformänderungsdiagramm verschobene Instabilitätsgrenzen zu erwarten. Dies wird anhand eines Beispiels erläutert. Im letzten Abschnitt des Vortrages werden anhand von Simulationsergebnissen unter Berücksichtigung bzw. Vernachlässigung der Dehnratenabhängigkeit die Einflüsse quantitativ diskutiert. Oberhofer, G. Dell, H. Dell, D. Gese, H. Proceeding of 7th International LS-Dyna Users Conference 2002, May 19th to 21st, 2002, Dearborn, Michigan, U.S.A. LSCT ETA, 2002 LS-Dyna Users Conference, September 19th and 20th, 2002, Bad Mergentheim, Germany MATFEM Partnerschaft Dr. Gese & Oberhofer, München Enhanced Failure Prediction in Sheet Metal Forming Simulations through Coupling of LS-Dyna and Algorithm CRACH In sheet-metal-forming the forming limit curve (FLC) is used for ductile sheets to predict fracture in deep drawing. However, the use of the FLC is limited to linear strain paths. The initial FLC cannot be used in a complex nonlinear strain history of stamping and crash including a significant change in strain rate. The CRACH software has been developed to predict the forming limit of sheets for nonlinear strain paths. It has been validated to predict instability for bilinear strain paths with static loading in the first path and dynamic loading in the second path for mild steels. As the postprocessing of single strain paths from LS-Dyna in CRACH is not economic for industrial applications MATFEM initiated a project to couple CRACH directly with LS-Dyna using a user-defined material model. This allows a prediction of possible failure during the simulation for all elements in respect of their complete strain history. A special strategy has been developed to include CRACH without extensive increase in total CPU time. The developed interface to LS-Dyna allows also the implementation of other failure criteria demanding the history of deformation like for example a tensorial fracture criterion. In this case the problem is similar but the calculation time steps for failure are different. In order to test the reliability of the calculated safety factor experimental tests for bilinear strain paths as described in [2] have been simulated. In this case the experimental and numerical investigations have been made on two-stage forming processes. In reality the first of these two stages reflects a stamping process, followed by a second stage stamping process. This second stage could also be a crash process. Further industrial applications are discussed. The coupling of LS-Dyna and CRACH has the potential to predict possible fracture in deep drawing and crash loading at an early design stage and allows to optimise geometry and material quality to significantly reduce later problems in real components. Gese, H.1 1 Dell, H. 2 Heath, A.2 Payen, F.3 Continuous Failure Prediction for Steel Sheets in Successive Stamping and Crash Simulations through Coupling of PAM-Solid and CRACH 3 Werner, H. EuroPAM ’01 (CD-ROM), October 18th and 19th, 2001, Heidelberg, Germany (1) MATFEM Partnerschaft Dr. Gese & Oberhofer, München (2) ESI Group, Eschborn (3) BMW Group, München The mapping procedure has been introduced into PAM-SOLID recently to account for the strain hardening from the deep drawing process in the crash simulation. This technique allows to increase the accuracy in predicting energy absorption during crash. But there is still a lack for a common failure model in successive stamping and crash simulations. The forming limit curve (FLC) is used for ductile sheets to predict fracture in deep drawing. However the use of the FLC is limited to linear strain paths. The initial FLC cannot be used in a complex nonlinear strain history of stamping and crash including a significant change in strain rate. The CRACH software has been developed to predict the forming limit of sheets for nonlinear strain paths. It has been validated to predict instability for bi-linear strain paths with static loading in the first path and dynamic loading in the second path for mild steels. As the postprocessing of single strain paths from FEM in CRACH is not economic for industrial applications BMW initiated a project to couple CRACH directly with PAM-Solid. This allows a prediction of possible failure during the crash simulation for all elements. A special strategy has been developed to include CRACH without extensive increase in total CPU time. The safety factor against fracture (defined by onset of instability) is calculated with a two-level technique. On the first level a rough and fast calculation is used. If the safety factors is lower than a given value a precise calculation with CRACH is started. Real components of a body in white have been simulated to validate the PAM-Solid/CRACH coupling. The deep drawing simulation of the different components of a longitudinal (engine mount) have been performed. The results have been mapped to the corresponding component crash model. The component testing has been done parallel to validate the results. An accurate prediction of cracks in deep drawing and crash have been found. The coupling of PAM-SOLID and CRACH will be an effective tool in the design of car components and can support the choice of appropriate steel qualities. Additionally there is a high potential for application in forming operations with highly nonlinear strain paths and multi-stage operations. The link between PAMSolid and CRACH has been developed by ESI GmbH and MATFEM up to an “experimental” level on behalf of BMW. For an industrial application the interface still has to be “streamlined”. Hooputra, H.1 Werner, H.1 Metzmacher, G.2 Fracture Criteria For Crash Simulation of Wrought Aluminium Alloy Components 2 EuroPAM ’01, October 18th and 19th, 2001, Heidelberg, Germany (1) BMW Group, München The prediction of plastic deformation and fracture of components is critical to correctly represent the transient energy absorption through the car structure in crashworthiness simulation. Thus, a validated material fracture model which adequately represent this phenomenon is indispensable. The aim of this paper is to compare and validate two existing numerical approaches to predict failure with test data by using the aluminium wrought alloy AlMgSi1-F31. (2) ESI Group, Eschborn The first approach is based on failure curves expressed by instantaneous macroscopic stresses and strains (i.e. maximum equivalent plastic strain vs. stress triaxiality). Notched tensile specimens with varying notched radii and axisymmetric shear specimens were used to produce ductile fractures and shear band fractures at different stress states. The second approach is based on the modified Gurson model and uses state variables at the mesoscopic scale (i.e. critical void volume fraction). The critical macroscopic and mesoscopic damage values at the fracture initiation locations were evaluated using FEM simulations of the different specimens. The derived macroscopic and mesoscopic fracture criteria were then subsequently applied to crashworthiness experiments with real components. The quality of the prediction on component level is discussed for both types of criteria. El-Magd, E.1 2 Gese, H. 3 Tham, R.4 Hooputra, H.4 Fracture Criteria for Automobile Crashworthiness Simulation of Wrought Aluminium Alloy Components 4 Werner, H. Materialwissenschaften u. Werkstofftechnik 32, 712–714 (2001), WILEY-VCH Verlag GmbH, Weilheim (1) RWTH Aachen (2) MATFEM Partnerschaft Dr. Gese & Oberhofer, München (3) Frauenhofer Institut für Kurzzeitdynamik, Freiburg (4) BMW Group, München In automobile crashworthiness simulation, the prediction of plastic deformation and fracture of each significant, single component is critical to correctly represent the transient energy absorption through the car structure. There is currently a need, in the commercial FEM community, for validated material fracture models which adequately represent this phenomenon. The aim of this paper is to compare and to validate existing numerical approaches to predict failure with test data. All studies presented in this paper were carried out on aluminium wrought alloys: AlMgSi1.F31 and AlMgSiCu-T6. A viscoplastic material law, whose parameters are derived from uniaxial tensile and compression tests at various strain rates, is developed and presented herein. Fundamental ductile fracture mechanisms such as void nucleation, void growth, and void coalescence as well as shear band fracture are present in the tested samples and taken into consideration in the development of the fracture model. Two approaches to the prediction of fracture initiation are compared. The first is based on failure curves expressed by instantaneous macroscopic stresses and strains (i.e. maximum equivalent plastic strain vs. stress triaxiality). The second approach is based on the modified Gurson model and uses state variables at the mesoscopic scale (i.e. critical void volume fraction). Notched tensile specimens with varying notch radii and axisymmetric shear specimens were used to produce ductile fractures and shear band fractures at different stress states. The critical macroscopic and mesoscopic damage values at the fracture initiation locations were evaluated using FEM simulations of the different specimens. The derived fracture criteria (macroscopic and mesoscopic) were applied to crashworthiness experiments with real components. The quality of the prediction on component level is discussed for both types of criteria. Dell, H.1 Gese, H.1 Keßler, L.2 Werner, H.3 Continuous failure Prediction Model for Nonlinear Load Paths in Successive Stamping and Crash Processes Hooputra, H.3 SAE Technical Paper Series 2001–01–1131 (1) MATFEM Partnerschaft Dr. Gese & Oberhofer, München (2) Thyssen Krupp Stahl AG, Dortmund (3) BMW Group, München The validity of numerical simulations is still limited by the unknown failure of materials when nonlinear load paths in successive stamping and crash processes occur. Localized necking is the main mechanism for fractures in ductile sheet metal. The classical forming limit curve (FLC) is limited to linear strain paths. To include the effects of nonlinear strain paths a theoretical model for instability (algorithm CRACH) has been used. The algorithm has been developed on the basis of the Marciniak model [8]. The calibration and validation of this approach is done by a set of multistage experiments under static and dynamic strain rates for a mild steel. Gese, H. Dell, H. Y. Bréchet (Ed.), Microstructures, Mechanical Properties and Processes – Computer Simulation and Modelling, EUROMAT 99 – Volume 3, Wiley-VCH, Weinheim, 2000 MATFEM Partnerschaft Dr. Gese & Oberhofer, München Macroscopic and Mesoscopic Models for Fracture in Sheet Metal Forming Numerical simulation of sheet metal forming is already a standard development tool in industry. However there are still limitations in adequate criteria for sheet fracture. A complete description of forming failures must include local necking of sheet (followed by fracture in neck), sudden fracture (i.e. at small radii) and shear fracture. In practice only the conventional forming limit curve (FLC) is used for interpretation of simulation results. The FLC is a criterion for local necking and its correct application is limited to linear strain paths (this limitation is mostly violated in real industrial drawing operations). The experimental effort to build up a FLD is very high. From this view one can derive that there is a need for more refined criteria. The presentation gives an overview on refined macroscopic and mesoscopic criteria for failure in sheet metal forming. Mesoscopic criteria are based on a phenomenological model for void nucleation, void growth and void coalescence. They are based on the plasticity model defined by Gurson. The practical problem is the experimental evaluation of the material parameters. This type of criterion is limited to the prediction of ductile material fracture. Another approach is the use of refined macroscopic criteria. The authors present a newly developed algorithm which checks the possibility of local necking or fracture based on the local strain path from the forming simulation. The algorithm uses a refined plasticity model which includes an anisotropic yield locus and an anisotropic hardening rule including the Bauschinger effect. The algorithm checks whether there is a stable elastoplastic solution for the given strain path. Including the Bauschinger effect it is possible to study strain paths with sudden changes in drawing direction. Practical examples are given to support the theoretical information on mesoscopic and macroscopic failure criteria. Gese, H.1 Juhl, K.2 Plastizitätsmodelle für die Simulation der Blechumformung Lang, R.3 Reese, E.D4 4 Kopp, B.; Beiss, P.; Herfurth, K.; Böhme, D.; Bormann, R.; Arzt, E. und Riedel, H. (Hrsg.): Tagungsband der Werkstoffwoche ’98, Band VI, WerkstoffInformationsgesellschaft, Frankfurt, 1999 (1) MATFEM Ingenieurbüro Dr. Gese, München (2) Daimler-Benz Aerospace Airbus GmbH, Bremen (3) Daimler-Benz Aerospace AG, Ottobrunn (4) Daimler-Benz AG, Ottobrunn In der Luftfahrtindustrie werden Strukturbauteile aus Al- und Ti- Blechhalbzeugen durch Kaltumformung hergestellt. Zur schnelleren Überprüfung der Umformbarkeit neuer Geometrien, zur Bewertung der Eignung neuer Legierungsqualitäten und zur Ermittlung von Prozessfenstern für Umformvorgänge wird zunehmend die Simulation der Blechumformung auf der Basis der Methode der finiten Elemente eingesetzt. Die korrekte Beschreibung der Werkstoffplastizität ist neben einer geeigneten Diskretisierung der Geometrie die wesentliche Voraussetzung für eine genaue Ermittlung des Spannungs- und Deformationszustandes während des Umformprozesses und somit wesentlich für die Bewertung der Umformsicherheit und für die Quantifizierung der elastischen Rückfederung. Die Erfahrungen zeigen, dass isotrope, transversal-isotrope und konventionelle orthotrope Fließortbeschreibungen nicht für die Beschreibung von Al- und Ti-Werkstoffen ausreichend sind. Für verbesserte Aussagen mussten weiterentwickelte Materialmodelle eingeführt und verifiziert werden. Das plastische Fließverhalten von Al-Blechhalbzeugen kann nur durch eine nicht- quadratische Fließortformulierung angenähert werden. Bei den TiWerkstoffen müssen Fließorte Verwendung finden, welche eine Asymmetrie im Zug- und Druckbereich zulassen. Die experimentellen Arbeiten zur Ermittlung der notwendigen Plastizitätskennwerte und die mathematische Beschreibung höher entwickelter Fließorte werden diskutiert. Die Werkstoffplastizität bestimmt zudem die Umformgrenzen eines Werkstoffes hinsichtlich Instabilität und Bruch. Die angewendeten Kriterien werden diskutiert. Im Ausblick werden Simulationsergebnisse des Streckziehens von Al-Blechen und des Tiefziehens von Ti-Blechen mit weiterentwickelten Materialmodellen vorgestellt und deren Genauigkeit in Relation zu Simulationen mit konventionellen Materialbeschreibungen und zum realen Fertigungsprozess diskutiert. Gese, H. “Impulse für kleine und mittelständische Unternehmen durch Neue Materialien”, Vortragsveranstaltung der Interessengemeinschaft Neue Materialen in NRW e.V. am 23. September ’98 im Technologiepark Bergisch Gladbach MATFEM Ingenieurbüro Dr. Gese, München Schnelle Bewertung der industriellen Anwendbarkeit Neuer Materialien durch Simulation Neue Materialien bieten parallel zur konstruktiven Optimierung ein großes Potential zur Verbesserung technischer Bauteile. Die Einführung neuer Werkstoffe ist aber mit einem großen Entwicklungs- und Testaufwand verbunden. Unerwartete Schwierigkeiten in der Verarbeitung des Werkstoffes und Probleme mit der Betriebsfestigkeit erster Prototypen können für kleine Firmen zu einem unkalkulierbaren finanziellen Risiko werden. Eine Methode, um das Entwicklungsrisiko bei Neuen Materialien frühzeitig bewerten zu können, ist die virtuelle Entwicklung von Bauteilen. Bisher wurde diese Methodik der virtuellen Entwicklung nur im konstruktiven Bereich mittels 3D-CAD umgesetzt (Visualisierung, Rapid Prototyping, Digital Mock-Up). Die virtuelle Entwicklungsschiene ist aber nur dann für die Bewertung neuer Werkstoffe sinnvoll, wenn auch der Fertigungsprozess des Bauteils und die Betriebsbelastungen des Bauteils im Simulationsmodell vorab überprüft werden können. Hierzu müssen Berechnungen mit der Methode der Finiten Elemente (FEM) und Verwendung von Kennwerten des neuen Materials durchgeführt werden. Die verfügbare Rechenleistung hat sich in den letzten Jahren extrem gesteigert und stellt heute keine wesentliche Beschränkung für eine Anwendung der FEM im industriellen Maßstab mehr dar. Die korrekte Werkstoffbeschreibung in den verwendeten Simulationsmodellen ist die zweite Voraussetzung für gute Prognosen. Im Bereich der metallischen Werkstoffe wurde zwischenzeitlich ein sehr guter Stand erreicht. Materialmodelle für Kunststoffe sind allerdings noch unzureichend. An einigen Beispielen aus der Simulation von Fertigungsverfahren (Schmieden, Blechumformen) und der Simulation von Betriebsbelastungen (Crash, Ermüdung) werden die Möglichkeiten der Simulation aufgezeigt. Die dazu eingesetzten Materialmodelle und Berechnungsmethoden werden hinsichtlich ihrer Genauigkeit diskutiert. Die für die Beschreibung der Werkstoffe notwendigen Materialparameter werden beschrieben. Die Simulationsrechnung erlaubt heute somit, die an Laborproben gemessenen Werkstoffeigenschaften in die geplante Bauteilgeometrie zu “projizieren”. Somit können neue Materialien schnell bewertet und die Zahl der notwendigen Prototypen und Fertigungsversuche reduziert werden. Gese, H. Werkstoff-Forum auf der Hannover-Messe 1998, Vortragsveranstaltungen im Innovationszentrum “IngenieurWerkstoffe” MATFEM Ingenieurbüro Dr. Gese, München Überblick zur Werkstoffcharakterisierung in der Simulationsrechnung Zur Verkürzung von Entwicklungszeiten wird heute die virtuelle Entwicklung von technischen Bauteilen gefordert. Bisher wurde dies nur im Bereich der Geometrieverarbeitung mittels 3D-CAD zufriedenstellend erreicht. Die virtuelle Entwicklungsschiene ist aber nur dann sinnvoll, wenn auch der Fertigungsprozess des Bauteils und die Betriebsbelastungen des Bauteils im Simulationsmodell vorab überprüft werden können. Hierzu müssen Berechnungen mit der Methode der finiten Elemente (FEM) durchgeführt werden. Die verfügbare Rechenleistung hat sich in den letzten Jahren extrem gesteigert und stellt heute keine wesentliche Beschränkung mehr dar. Die Werkstoffbeschreibung in den verwendeten Simulationsmodellen ist aber noch unzureichend. An einigen Beispielen aus der Simulation von Fertigungsverfahren (Schmieden, Blechumformen) und der Simulation von Betriebsbelastungen (Crash, Ermüdung) werden die Schwächen von bisher verwendeten Materialmodellen beschrieben und Wege zu einer verbesserten Materialbeschreibung aufgezeigt. Gese, H. Workshop Endoprothesenwechsel Kniegelenk, 12.–14. April 1998, Klinik für Orthopädie und Sportorthopädie an der Technischen Universität München MATFEM Ingenieurbüro Dr. Gese, München Metalle als Werkstoff der Revisionsendoprothetik Es wird ein Überblick über die in der Endoprothetik eingesetzten Metall-Legierungen (Fe-Basis, Ti-Basis und Co-Basis-Legierungen) gegeben. Die Mikrostruktur der Legierungen und deren Verarbeitung (Gießen, Schmieden, Kaltumformen) entscheiden über die Gebrauchseigenschaften der Endoprothesen. Die elastischen Eigenschaften haben dabei eine wesentlichen Einfluss auf die Belastung des umliegenden Knochens und dessen lastadaptive Umbaureaktionen. Dies wird am Beispiel von Simulationsrechnungen aufgezeigt. Steife Implantate mit einem hohen Elastizitätsmodul (z.B. aus CoCrMo-Legierungen) reduzieren die Dehnungen im umliegenden Knochen und können zu einer Inaktivitätsosteoporose führen. Steife Implantate reduzieren aber auf der anderen Seite bei zementfreien Implantaten die post op auftretenden Relativverschiebungen zwischen Endoprothese und Knochen, welche zur Ausbildung einer mechanisch instabilen Bindegewebeschicht zum Implantat führen können. Neben der mechanischen Reaktion auf den Knochen ist für den dauerhaften Erfolg des Implantates die Ermüdungsfestigkeit der Legierungen von großer Bedeutung. Die Dauerschwingfestigkeit der Implantatlegierungen in korrosivem Körpermilieu unterscheidet sich zum Teil deutlich und muss in der konstruktiven Auslegung berücksichtigt werden. CoCrMo-Gusslegierungen bieten beispielsweise für intrameduläre Verankerungsstifte mit kleinem Durchmesser oft eine zu geringe Dauerschwingfestigkeit. Insbesondere bei zementfreien Implantaten mit einer Oberflächenstrukturierung ist der Kerbeinfluss auf die Dauerschwingfestigkeit zu beachten. Ti-Basis-Schmiedelegierungen, welche grundsätzlich eine sehr hohe Dauerschwingfestigkeit besitzen, zeigen eine starken Abfall der Dauerschwingfestigkeit bei Kerbwirkung. Am Beispiel der kondylären Komponente einer Knieendoprothese wird der Einsatz der Simulationsrechnung (FEM) für die dauerfeste Auslegung von Endoprothesen beschrieben. Gese, H.1 Stretch Forming of Aluminium Sheets Beck, W.2 Reese, E.D.3 PAM ’97, October 16th to 17th 1997, Prague, Czech Republic (1) MATFEM Ingenieurbüro Gese, München (2) Daimler-Benz Aerospace Airbus GmbH, Dept. EVM, Bremen (3) Daimler-Benz AG, Ottobrunn, Germany Daimler-Benz Aerospace Airbus GmbH produces large aircraft skin panels with double curved geometry from Al-alloys on a stretch forming press. Up to now, manufacturing engineers have used empirical methods in order to determine optimum stretching conditions. The aim is to avoid failure of the sheet material during forming and to reduce springback to an acceptable level. Numerical methods are introduced now to speed up the development of the manufacturing process for new geometries and alloys. The Daimler-Benz Forschungsinstitut has developed the basis for a “virtual” stretch forming press on behalf of DaimlerBenz Aerospace Airbus GmbH. MATFEM has been subcontracted to support the numerical techniques. The finite element code PamStamp has been introduced as a core tool. The explicit solver is used for the simulation of the stretch forming process and the implicit PCG-solver for the calculation of the elastic springback. Successful manufacturing of a given skin panel can be achieved by variation of the alloy heat treatment and variation of the press kinematics. Therefore a refined plasticity model for aluminium alloys had to be introduced which is sensible to small changes in material plasticity. The new material model 109 of PamStamp has been successfully tested in the project. Additionally, an individual software tool has been developed which can generate the optimium stretch kinematics for a given tool geometry and is able to convert press kinematics into velocity boundary conditions for the clamped nodes of the sheet mesh. The presentation includes benchmark problems which show the accuracy of the new material model 109 and the new implicit solver for elastic springback. Simulation results will be given for the stretch forming of different skin panels. The examples cover parts with 1- and 2-step forming, trimmimg and springback. The sensibility of the virtual process to changes in material properties is shown. Finally, some still unsolved software features are addressed and ideas will be given for future developments of PAM-Stamp. Oberhofer, G Gese, H. “Die Methoden der Finiten Elemente in der Biomedizin und angrenzenden Wissenschaften”, Workshop 1996, 22. und 23. Juli 1996 an der Universität Ulm, Universitätsverlag Ulm GmbH, ISBN 3–89559–232–3 MATFEM Ingenieurbüro Gese, München Optimierung des Designs von Knieendoprothesen zur Reduzierung der Materialbelastung Die Polyethylenkomponenten von Knieendoprothesen werden bei der Gelenkartikulation hohen Kontaktspannungen ausgesetzt. Alternative Materialien mit entsprechender in-vivo-Testerfahrung existieren bislang nicht. Mit Hilfe der FE-Methode sollte zunächst eine Strukturanalyse des tibiaseitigen HDPEKörpers mit nachfolgender Designoptimierung zur Reduzierung der auftretenden Spannungen durchgeführt werden. Die Optimierungsmöglichkeiten beschränkten sich dabei auf die Designparameter »Krümmungsradien der kontaktierenden Oberflächen« und »Polyethylendicke«. Weitere geometrische Veränderungen waren aufgrund der vorgegebenen Kinematik des Kniegelenks nicht möglich. Die Analyse des femoro-tibialen Kontaktes ergab für eine vorgegebene Gesamtbelastung von 2400 N bereits Spannungen in der Höhe der Fließgrenze von Polyethylen. Eine Optimierung des medialen Krümmungsradius der Tibiakomponente in medial-lateraler Richtung erbrachte eine Reduzierung des Spannungsniveaus. Nachfolgende Analysen mit optimierter Geometrie verdeutlichten eine Spannungszunahme bei zunehmenden Flexions-und Rotationswinkeln. Mit zunehmender Flexionsstellung kamen dabei kleinere Krümmungsradien der Femurkomponente in den Kontaktbereich und es ergaben sich bei gleichen äußeren Belastungen ansteigende Kontaktspannungen. Auch der Einfluss der Polyethylendicke auf die Höhe der auftretenden Spannungen im Tibiaplateau konnte nachgewiesen werden. Das Maximum der von-Mises-Vergleichsspannung lag dabei erwartungsgemäß im Inneren des Polyethylens. Die Patellakomponenten erfuhren ihre maximale Belastung bei einer Flexionsstellung von 90°. Die deutlich günstigeren Belastungs-verhältnisse ergaben sich bei Variante WALLABY I aufgrund der kongruenten Krümmungs-radienpaarung in der Ebene senkrecht zur Flexionsachse. Dem natürlichen Verhalten entsprechend verschieben sich bei diesem Konstruktionsprinzip die kontaktierenden Bereiche mit zunehmender Flexionsstellung von der Mittelebene in die medial-lateralen Randbereiche der Komponente. Analog zu den Ergebnissen beim femoro-tibialen Kontakt muß festgestellt werden, dass auch bei guter Wahl der Kontaktradienpaarung , wie sie bei beiden Implantattypen in großen Flexionsbereichen vorliegt, ein Überschreiten der Fließgrenze im HDPE für das Patellaimplantat nicht vermieden werden kann. Die Wahl des Lastniveaus von 2400 N, einem experimentell ermittelten Maximalwert, erscheint jedoch als Grundlage für alle Flexionsstellungen zu hoch. Bei Flexionsstellungen zwischen 30° und 90° kann dieser Wert nur bei dynamischer Belastung erreicht werden. In bestimmten Belastungsfällen z. B. dem linienförmigen Kontakt zwischen Patella und Femurkomponente bei WALLABY II erlaubt die Auflösung des FE-Netzes keine genaue Aussage über den Absolutwert des Spannungsmaximums. Eine Netzverfeinerung in diesem Bereich wäre für detailliertere Aussagen notwendig. Weitere Modelltechnische Verbesserungen könnten in einer dynamischen FEM-Analyse unter Berücksichtigung des viskoelastischen Materialverhaltens von Polyethylen liegen. Aufgrund des stabileren Kontaktverhaltens expliziter FE-Codes ist eine feinere Diskretisierung bei akzeptablen Rechenzeiten möglich. In diesem Zusammenhang wäre dann auch eine Analyse der dynamischen Gleiteffekte wie sie bei einer Beugung bzw. Streckung des Kniegelenks neben der Normal-Belastung auftreten möglich. Gese, H. Oberhofer, G. 13. CAD-FEM Users’ Meeting, 25.–27. Oktober 1995, Bad Wildungen, Vortrag I–6, 6 Seiten, CADFEM GmbH, 1995 MATFEM Ingenieurbüro Gese, München Nichtlineare Modellierung von Kontaktflächen bei Implantaten Der Vortrag zeigt anhand von drei Anwendungsbeispielen aus der Entwicklung von neuen Implantaten in den Bereichen Dentaltechnik und Endoprothetik die Notwendigkeit der nichtlinearen Modellierung von Grenzflächen zwischen benachbarten Materialien auf. Die mit ANSYS bearbeiteten Problemstellungen beinhalten den point-to-point-Kontakt mit dem Element Contac52 bei 2- und 3-dimensionalen Modellen und den allgemeinen 3-dimensionalen point-to-surface-Kontakt mit dem Element Contac49.