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

preprint2016arXivOpen access

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.

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