Well-posedness for the microcurl model in both single and polycrystal\n gradient plasticity

2016/08/22 by François Ebobisse, Ebobisse, Francois, Patrizio Neff +3
Materials Science · #35D30 #35D35 #35J25 #74C05 #74C15 #74D10 #Analysis of PDEs (math.AP) #Boron and Carbon Nanomaterials Research #Diamond and Carbon-based Materials Research #FOS: Mathematics #Nonlocal and gradient elasticity in micro/nano structures

paper · pdf · doi:10.48550/arxiv.1608.06081

openalex publication_date 2016/08/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider the recently introduced microcurl model which is a variant of\nstrain gradient plasticity in which the curl of the plastic distortion is\ncoupled to an additional micromorphic-type field. For both single crystal and\npolycrystal cases, we formulate the model and show its well-posedness in the\nrate-independent case provided some local hardening (isotropic or linear\nkinematic) is taken into account. To this end, we use the functional analytical\nframework developed by Han-Reddy. We also compare the model to the relaxed\nmicromorphic model as well as to a dislocation-based gradient plasticity model.\n

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