A large strain anisotropic elastoplastic continuum theory for nonlinear kinematic hardening and texture evolution

In this paper we present a continuum theory for large strain anisotropic elastoplasticity based on a decomposition of the modified plastic velocity gradient into energetic and dissipative parts. The theory includes the Armstrong and Frederick hardening rule as well as multilayer models as special cases even for large strain anisotropic elastoplasticity. Texture evolution may also be modelled by the formulation, which allows for a meaningful interpretation of the terms of the dissipation equation.

► A novel large strain anisotropic elastoplastic continuum theory for kinematic hardening and texture evolution. ► The formulation is based on a novel split of the plastic velocity gradient into energetic and dissipative parts. ► The formulation accommodates the Armstrong-Frederick rule in an associative manner. ► Texture evolution is included and interpreted from the plastic energetic contribution. ► The formulation is developed using logarithmic stress and strain measures.