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

2016/09/16 by François Ebobisse, Ebobisse, Francois, Patrizio Neff +3
Engineering · Materials Science · #35D30 #35D35 #35J25 #74C05 #74C15 #74D10 #Analysis of PDEs (math.AP) #Elasticity and Material Modeling #FOS: Mathematics #Nonlocal and gradient elasticity in micro/nano structures #Thermoelastic and Magnetoelastic Phenomena

paper · pdf · doi:10.48550/arxiv.1609.05083

openalex publication_date 2016/09/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

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