Existence result for a dislocation based model of single crystal gradient plasticity with isotropic or linear kinematic hardening. Issue 1 (9th December 2017)

• Record Type: Journal Article
• Authors: Ebobisse, François; Neff, Patrizio; Aifantis, Elias C
• Is Part Of: Quarterly journal of mechanics and applied mathematics. Volume 71:Issue 1(2018:Feb.)
• Page Start: 99
• Page End: 124
• Publication Date: 2017-12-09
• Subjects: Mechanics -- Mathematics -- Periodicals; Applied mathematics -- Periodicals; 530.1
• DOI: 10.1093/qjmam/hbx026
• Languages: English
• ISSNs: 0033-5614

Abstract

Summary: 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.