Three-dimensional finite element method of simulations of stamping processes for planar anisotropic sheet metals (Q1384326)

A three-dimensional finite element method is developed to simulate forming processes with arbitrarily shaped tools for planar anisotropic sheet metals. The authors employ an implicit, updated Lagrangian formulation based on the incremental deformation theory together with a rigid-viscoplastic constitutive equation. Contact and friction are considered using the mesh-normal scheme which compatibly describes arbitrary tool surfaces and finite element meshes without depending on the explicit spatial derivatives of tool surfaces. The consistent full set of governing relationships, which includes the equilibrium equation and mesh-normal geometric constraints, is appropriately linearized. Based on the membrane approximation, the authors use linear triangular elements to describe the formed sheets. A non-quadratic strain-rate potential is employed to account for the in-plane anisotropic properties of sheets. To test the planar anisotropic finite element code, the authors perform numerical simulations for the deep drawing of a cylindrical cup and the stamping of an automotive front fender panel.