On the spatial formulation of anisotropic multiplicative elasto-plasticity

Abstract

This contribution aims at a thermodynamically consistent and modular formulation of anisotropic multiplicative elasto-plasticity. Embedded in the well-established framework of non-standard dissipative materials, we adopt as a key ingredient the introduction of additional symmetric arguments––typically structural tensors––into the relevant scalar-valued isotropic tensor functions. On this basis, the fundamental covariance relation leads us to a formulation which allows itself to be set up directly in terms of spatial arguments and thus guarantees a convenient implementation within a finite element setting.