On the State of Finite Element Procedures for Forming Processes

The solution of forming processes requires reliable and efficient finite element methods to model the various complex physical phenomena encountered. The objective in this presentation is to focus on the current state of finite element methods with respect to reliability and efficiency in modeling forming processes. The finite element procedures pertain to the simulation of sheet metal forming, bulk forming, extrusion and drawing, rolling, welding, cutting processes, etc. It is emphasized that the appropriate finite element methods for a specific problem should be used, and that indeed procedures are available which are effective in many situations. The presentation briefly considers the state of modeling of solids, shell structures, contact conditions, friction, inelastic material response in large strains, thermo‐mechanical coupling and fluid‐solid interactions, as encountered in forming process simulations. The solutions of the governing finite element models are obtained using sparse direct or iterative solvers. The oral presentation will include the results of various example simulations.

[1]  Klaus-Jürgen Bathe,et al.  On the constraint function method for contact problems , 1997 .

[2]  Klaus-Jürgen Bathe,et al.  A flow-condition-based interpolation finite element procedure for incompressible fluid flows , 2002 .

[3]  Klaus-Jürgen Bathe,et al.  On finite element analysis of fluid flows fully coupled with structural interactions , 1999 .

[4]  Klaus-Jürgen Bathe,et al.  A hyperelastic‐based large strain elasto‐plastic constitutive formulation with combined isotropic‐kinematic hardening using the logarithmic stress and strain measures , 1990 .

[5]  Klaus-Jürgen Bathe,et al.  Error indicators and adaptive remeshing in large deformation finite element analysis , 1994 .

[6]  K. Bathe,et al.  Finite element developments for general fluid flows with structural interactions , 2004 .

[7]  Klaus-Jürgen Bathe,et al.  Erratum to “The inf–sup condition and its evaluation for mixed finite element methods” [Computers and Structures 79 (2001) 243–252] , 2001 .

[8]  K. Bathe,et al.  The method of finite spheres with improved numerical integration , 2001 .

[9]  K. Bathe,et al.  Displacement/pressure mixed interpolation in the method of finite spheres , 2001 .

[10]  K. Bathe,et al.  Stability and patch test performance of contact discretizations and a new solution algorithm , 2001 .

[11]  Klaus-Jürgen Bathe,et al.  Implicit integration for the solution of metal forming processes , 2001 .

[12]  Phill-Seung Lee,et al.  Towards improving the MITC9 shell element , 2003 .

[13]  Klaus-Jürgen Bathe,et al.  The inf–sup condition and its evaluation for mixed finite element methods , 2001 .

[14]  Phill-Seung Lee,et al.  Towards improving the MITC 9 shell element , 2003 .

[15]  K. Bathe.  Finite Element Procedures , 1995 .

[16]  K. Bathe,et al.  SOME COMPUTATIONAL ISSUES IN LARGE STRAIN ELASTO-PLASTIC ANALYSIS , 1995 .

[17]  K. Bathe,et al.  Studies of finite element procedures—stress band plots and the evaluation of finite element meshes , 1986 .

[18]  Jaroslav Mackerle,et al.  FEM and BEM in the context of information retrieval , 2002 .

[19]  K. Bathe,et al.  Coupling and enrichment schemes for finite element and finite sphere discretizations , 2005 .

[20]  Klaus-Jürgen Bathe,et al.  Computational issues in large strain elasto‐plasticity: an algorithm for mixed hardening and plastic spin , 2005 .

[21]  Olivier Guillermin,et al.  Advances in crush analysis , 1999 .

[22]  Klaus-Jürgen Bathe,et al.  ON THE TREATMENT OF INEQUALITY CONSTRAINTS ARISING FROM CONTACT CONDITIONS IN FINITE ELEMENT ANALYSIS , 1991 .

[23]  Miguel Luiz Bucalem,et al.  On the use of hierarchical models in engineering analysis , 1990 .

[24]  K. Bathe,et al.  Development of MITC isotropic triangular shell finite elements , 2004 .

[25]  Alexander G Iosilevich,et al.  An evaluation of the MITC shell elements , 2000 .

[26]  K. Bathe,et al.  Fundamental considerations for the finite element analysis of shell structures , 1998 .

[27]  K. Bathe,et al.  A HYPERELASTIC-BASED LARGE STRAIN ELASTO-PLASTIC CONSTITUTIVE FORMULATION WITH COMBINED ISOTROPIC-KINEMATIC HARDENING USING THE LOGARITHMIC STRESS AND STRAIN MEASURES , 2005 .

[28]  K. Bath,et al.  ON THE CONSTRAINT FUNCTION METHOD FOR CONTACT PROBLEMS , 2003 .

[29]  D. Chapelle,et al.  The Finite Element Analysis of Shells - Fundamentals , 2003 .

[30]  Shanhong Ji,et al.  Finite element analysis of fluid flows fully coupled with structural interactions , 1999 .

[31]  K. Bathe,et al.  On upwind methods for parabolic finite elements in incompressible flows , 2000 .

[32]  Klaus-Jürgen Bathe,et al.  On higher-order-accuracy points in isoparametric finite element analysis and an application to error assessment , 2001 .

[33]  Klaus-Jürgen Bathe,et al.  Stability of Finite Element Mixed Interpolations for Contact Problems , 2001 .

[34]  Dominique Chapelle,et al.  3D-SHELL ELEMENTS AND THEIR UNDERLYING MATHEMATICAL MODEL , 2004 .

[35]  K. Bathe,et al.  A finite element formulation for nonlinear incompressible elastic and inelastic analysis , 1987 .

[36]  Klaus-Jürgen Bathe,et al.  A finite element procedure for the analysis of thermo-mechanical solids in contact , 2000 .

[37]  Klaus-Jürgen Bathe,et al.  On the stress integration in large strain elasto-plasticity , 2003 .