On finite element formulations for large elastic-plastic deformations

Abstract

Some issues arising in the formulation of finite strain plasticity problems are discussed. One issue concerns the formulation of finite deformation elastic-plastic constitutive relations for use in this class of problems. Here, a formulation is outlined with particular attention on the role of elasticity in setting the form of the stress rate-strain rate relation. The dependence of solutions to problems involving large plastic deformations on the plastic flow rule is illustrated by reviewing results on finite pure bending of a plane strain strip. The response of elastic-plastic solids is contrasted with that of a nonlinear elastic solid.