

Preprint 64/2003
Single-slip elastoplastic microstructures
Sergio Conti and Florian Theil
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Submission date: 17. Jul. 2003
Pages: 23
published in: Archive for rational mechanics and analysis, 178 (2005) 1, p. 125-148
DOI number (of the published article): 10.1007/s00205-005-0371-8
Bibtex
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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 completly
explicit solution.