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Single-slip elastoplastic microstructures
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UNSPECIFIED (2005) Single-slip elastoplastic microstructures. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 178 (1). pp. 125-148. doi:10.1007/s00205-005-0371-8 ISSN 0003-9527.
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Official URL: http://dx.doi.org/10.1007/s00205-005-0371-8
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 | ||||
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Subjects: | Q Science > QA Mathematics T Technology > TJ Mechanical engineering and machinery |
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Journal or Publication Title: | ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | ||||
Publisher: | SPRINGER | ||||
ISSN: | 0003-9527 | ||||
Official Date: | October 2005 | ||||
Dates: |
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Volume: | 178 | ||||
Number: | 1 | ||||
Number of Pages: | 24 | ||||
Page Range: | pp. 125-148 | ||||
DOI: | 10.1007/s00205-005-0371-8 | ||||
Publication Status: | Published |
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