On the large-deformation- and continuum-based formulation of models for extended crystal plasticity

The purpose of this work is the application of continuum thermodynamics to the extension of standard crystal plasticity to account for the effects of the development of geometrically necessary dislocations (GNDs) on the material behavior. To this end, following Nye, Kondo, and many others, local deformation incompatibility in the material is adopted as a measure of the density of GNDs. Their development results in additional energy being stored in the material, resulting in additional kinematic-like hardening effects. The current approach generalized previous ones in that the thermodynamic formulation is based on the notion of generalized energy flux. A detailed comparison of the current approach and its results with previous such approaches and their results is given.