English

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

Analysis of PDEs 2016-09-19 v1

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.

Keywords

Cite

@article{arxiv.1609.05083,
  title  = {Existence result for a dislocation based model of single crystal gradient plasticity with isotropic or linear kinematic hardening},
  author = {Francois Ebobisse and Patrizio Neff and Elias C. Aifantis},
  journal= {arXiv preprint arXiv:1609.05083},
  year   = {2016}
}

Comments

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