Abstract
This paper describes the stress integration and the consistent tangent modulus for the elasto-plastic finite element method. The return mapping algorithm is applied to the constitutive equations discretized by the backward Euler method for the stress integration, and which are linearized in order to derive the consistent tangent modulus. The plasticity model employed which is based on the assumptions of small deformation, isotropic elasticity, flow rule associated with the von Mises yield surface, and mixed hardening is effective especially for analysis of ratcheting and cyclic stress relaxation due to the kinematic hardening rule suggested recently by Ohno and Karim.
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