A variational model for dynamic recrystallization based on Cosserat plasticity

A hardening model within the framework of finite-strain Cosserat crystal plasticity is extended to dynamic recrystallization. The new model includes an Avrami equation to account for softening, a level set equation to represent the propagation of the domain walls, and the Ambrosio-Tortorelli approach inherited from image analysis to identify the grain dislocation structure. Numerically, flow curves are computed and the Hall-Petch relation is studied.