UNSPECIFIED. (2005) Single-slip elastoplastic microstructures. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 178 (1). pp. 125-148. ISSN 0003-9527

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Abstract

We consider rate-independent crystal plasticity with constrained elasticity, and state the variational formulation of the incremental problem. For generic boundary data, even the first time increment does not admit a smooth solution, and fine structures are formed. By using the tools of quasiconvexity, we obtain an explicit relaxation of the first incremental problem for the case of a single slip system. Our construction shows that laminates between two different deformation gradients are formed. Plastic deformation concentrates in one of them, the other is a purely elastic strain. For the concrete case of a simple-shear test we also obtain a completely explicit solution.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics T Technology > TJ Mechanical engineering and machinery
Journal or Publication Title:	ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
Publisher:	SPRINGER
ISSN:	0003-9527
Date:	October 2005
Volume:	178
Number:	1
Number of Pages:	24
Page Range:	pp. 125-148
Identification Number:	10.1007/s00205-005-0371-8
Publication Status:	Published
URI:	http://wrap.warwick.ac.uk/id/eprint/6636

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