An algorithm based on total-elastic-incremental-plastic strain for large deformation plasticity

This paper presents a simple constitutive relation for numerical simulation of finite strain elasto-plastic deformation. The constitutive relation, wh ich is based on additive decomposition of velocity strains into elastic and plastic components, relates Cauchy stress to the total-elastic-incremental -plastic (TEIP) strain, and is derived assuming J(2) plasticity. The consis tency aspects associated with the uniaxial equivalent of the triaxial state of stress and strain have been properly taken into account. The variationa l finite-element formulation and other details of numerical implementation are included. A set of representative numerical simulations is presented an d compared with the results available in the literature to establish the ro bustness and accuracy of the proposed TEIP constitutive relation. (C) 1999 Elsevier Science S.A. All rights reserved.