Existence result for a dislocation based model of single crystal   gradient plasticity with isotropic or linear kinematic hardening
  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. 
Francois Ebobisse, Patrizio Neff and Elias C. Aifantis
math.AP