Integration method for constitutive equation of von Mises elastoplasticity with linear hardening

Abstract

This paper presents a summary of the new semi-analytical integration method presented in [10] for von Mises elastoplasticity model with combined linear isotropic-kinematic hardening within a small deformation range. Solutions for the case of constant strain rate and constant stress rate assumptions are also presented. Furthemore, it is shown how the general solution reduces to the particular cases of purely kinematic hardening, purely isotropic hardening and perfect plasticity, respectively.