Computational Isotropic-Workhardening Rate-Independent Elastoplasticity

Abstract

A novel formulation for elastoplasticity has been recently proposed by Liu and Hong. These authors have explored the internal symmetry of the constitutive model for perfect plasticity to ensure that the consistency condition is satisfied at each time step. Moreover, for perfect plasticity, they have converted the usual nonlinear elastoplastic constitutive model into a linear system of ordinary differential equations in redefined variables. The present paper is concerned with general isotropic workhardening. With the present formulation, it is still possible to satisfy the elastoplastic consistency condition at every time step, without the need for iterations even for nonlinear workhardening. The resulting system of ordinary differential equations, however, is, in general, nonlinear. Different strategies for obtaining numerical solutions of these equations are proposed in this paper, one of them based on group theory. Numerical solutions from the different schemes, for a simple illustrative example, are presented in the paper.