A multiplicative finite elasto-plastic formulation with anisotropic yield functions

In this article, a finite elasto-plastic formulation with anisotropic yield functions is developed by applying a multiplicative decomposition of the deformation gradient. Fulfilling the Clausius–Duhem inequality a flow rule is derived via postulate of maximal dissipation. With restriction to small elastic strains this flow rule yields the commonly used normality rule of additively decomposed models and its description of the evolution of the anisotropy axes. On the basis of the presented multiplicative formulation, corresponding assumptions and restrictions of the additively decomposed models are discussed.