A framework for multiplicative elastoplasticity with kinematic hardening coupled to anisotropic damage

摘要: The objective of this contribution is the formulation and algorithmic treatment a phenomenological framework to capture anisotropic geometrically nonlinear inelasticity. We consider in particular coupling viscoplasticity with continuum damage whereby both, proportional kinematic hardening are taken into account. As main advantage proposed standard models respect fictitious isotropic configuration can be adopted conveniently extended damage. key assumption based on introduction tangent map that acts as an affine pre-deformation. Conceptually speaking, we deal Euclidian space non-constant metric. evolution field directly related degradation material allows modeling specific classes elastic anisotropy. In analogy mapping introduce internal variable determines back-stress tensor via hyperelastic format therefore enables incorporation plastic Several numerical examples underline applicability finite strain framework.