Single-slip elastoplastic microstructures
UNSPECIFIED. (2005) Single-slip elastoplastic microstructures. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 178 (1). pp. 125-148. ISSN 0003-9527Full text not available from this repository.
Official URL: http://dx.doi.org/10.1007/s00205-005-0371-8
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|
|Number of Pages:||24|
|Page Range:||pp. 125-148|
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