Abstract
This paper addresses the formulation of a set of constitutive equations including a tensorial internal variable for a finite strain elastoplasticity with an anisotropic plastic hardening. The associative flow rules for tensorial and scalar internal variables are derived with the principle of maximum dissipation and a standard optimization method under stress constraint of a yield function. Also the implicit stress update algorithm and the consistent tangent modulus are derived with the linearization of the constitutive model for finite element analyses. As an example of the anisotropic hardening plasticity, the proposed framework is applied to the elastoplastic constitutive model of a metallic material with the non-linear kinematic hardening and the subloading surface. In this constitutive model, the back stress and the subloading variable are defined as functions of the corresponding tensorial and scalar internal variables. And the axial cyclic stress-strain curves are simulated with the presenting constitutive model for the validation.
