Application of generalized measures to an orthotropic finite elasto-plasticity model

A numerical study of finite orthotropic elasto-plasticity based on generalized stress–strain measures is presented. The anisotropic constitutive equations are represented by isotropic tensor functions. A simple additive decomposition of strains can be performed due to the formulation in generalized measures. Furthermore, the plasticity model does not depend on special properties of any particular measure. The required projection tensor is constructed exploiting the coaxiality of the generalized deformation tensor with the right Cauchy–Green tensor. An efficient algorithmic implementation is proposed. Finally, we discuss representative numerical examples for orthotropic elasto-plasticity, where finite deformations occur.