Existence result for a dislocation based model of single crystal gradient plasticity with isotropic or linear kinematic hardening

Abstract

We consider a dislocation-based rate-independent model of single crystal gradient plasticity with isotropic or linear kinematic hardening. The model is weakly formulated through the so-called primal form of the flow rule as a variational inequality for which a result of existence and uniqueness is obtained using the functional analytical framework developed by Han-Reddy.

27 pages. arXiv admin note: substantial text overlap with arXiv:1608.06081, arXiv:1603.00271