Analytical strain solution for the Drucker-Prager elastoplasticity model with linear isotropic hardening

Abstract

This article presents the analytical strain solution of the rate-form non-associative elastic-plastic constitutive model using the Drucker-Prager yield criterion with linear isotropic hardening. The strain solution is obtained using constant stress rate assumption. The solution for the deviatoric radial loading case is also presented. In addition, the strain solution for the case, when the stress state is located at the apex of the yield surface, is also derived.