Journal article 213 views
Mixed analytical–numerical relaxation in finite single-slip crystal plasticity
Antonio Orlando
Continuum Mechanics and Thermodynamics
Swansea University Author: Antonio Orlando
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DOI (Published version): 10.1007/s00161-008-0082-0
Abstract
Mixed analytical–numerical relaxation in finite single-slip crystal plasticity
| Published in: | Continuum Mechanics and Thermodynamics |
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| Published: |
2008
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| URI: | https://cronfa.swan.ac.uk/Record/cronfa5669 |
| Item Description: |
The modeling of the finite elastoplastic behaviour of single crystals with one active slip systemleads to a nonconvex variational problem, whose minimization produces fine structures. The computation ofthe quasiconvex envelope of the energy density involves the solution of a nonconvex optimization problemand faces severe numerical difficulties from the presence of many local minima. In this paper, we consider astandard model problem in two dimensions and, by exploiting analytical relaxation results for limiting casesand the special structure of the problem at hand, we obtain a fast and efficient numerical relaxation algorithm.The effectiveness of our algorithm is demonstrated with numerical examples. The precision of the results isassessed by lower bounds from polyconvexity. |
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| College: |
Faculty of Science and Engineering |