Static‐explicit elastic plastic finite element simulation and virtual manufacturing of sheet metal forming

Describes the development of a static‐explicit type finite‐element formulation based on non‐linear elastic plastic shells, non‐linear contact friction and Barlat anisotropic plasticity with modified corner theory. Newly introduces the spin of the anisotropic axes as a means of deriving the objective stress rate. Demonstrates that a C0 continuous shell is an efficient finite element for large‐scale computation. Uses membrane shell theory to derive a kinematic description of the external contact force. Offers an explanation of the ways in which the material, press load and lubrication affect the deformation and strain localization in the automotive sheet metal forming process. Demonstrates a trial of virtual manufacturing incorporating finite‐element simulation, a visualized inspection system and a heuristic process optimization scheme.

[1]  Y. Dafalias The plastic spin concept and a simple illustration of its role in finite plastic transformations , 1984 .

[2]  David J. Benson,et al.  A single surface contact algorithm for the post-buckling analysis of shell structures , 1990 .

[3]  Frédéric Barlat,et al.  Plastic behavior and stretchability of sheet metals. Part I: A yield function for orthotropic sheets under plane stress conditions , 1989 .

[4]  Eiji Nakamachi A finite element simulation of the sheet metal forming process , 1988 .

[5]  H. D. Hibbitt,et al.  Finite element analysis of sheet forming processes , 1990 .

[6]  R. D. Krieg,et al.  Accuracies of Numerical Solution Methods for the Elastic-Perfectly Plastic Model , 1977 .

[7]  Y. T. Keum,et al.  Compatible description of tool surfaces and FEM meshes for analysing sheet forming operations , 1990 .

[8]  D. Owen,et al.  Finite element software for plates and shells , 1984 .

[9]  Viggo Tvergaard,et al.  Influence of void nucleation on ductile shear fracture at a free surface , 1982 .

[10]  J. Oden,et al.  Contact Problems in Elasticity: A Study of Variational Inequalities and Finite Element Methods , 1987 .

[11]  Manabu Goto,et al.  Some improvements of J2F/J2D and their applications to large elastic-plastic deformation analyses by FEM. , 1989 .

[12]  P. M. Naghdi,et al.  The Theory of Shells and Plates , 1973 .

[13]  Frédéric Barlat,et al.  A Yield Function for Orthotropic Sheets under Plane Stress Conditions , 1989 .

[14]  Eugenio Oñate,et al.  Finite element analysis of sheet metal forming problems using a selective viscous bending/membrane formulation , 1990 .