An Implicit Finite Element Formulation for Finite Deformation of Elastic-Plastic Continua

Abstract

Based on an explicit definition of finite strain tensor, an implicit finite element formulation for finite deformation of elastic-plastic continua is proposed. Adopting the von Mises yield function, isotropic hardening rule and the generalized Hooke's law, the flow rule for the plastic strain rate is analytically integrated to complete the finite element formulation based on the Lagrangian description of virtual work principle. The performance of the finite element code is evaluated through the two dimensional analysis of a plane strain uniaxial tensile test of block-type specimens.