Scardia, L., Zeppieri, C. I. and Mueller, S. (2014) Geometric rigidity for incompatible fields and an application to strain-gradient plasticity. Indiana University Mathematics Journal, 63(5), pp. 1365-1396. (doi: 10.1512/iumj.2014.63.5330)
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Abstract
<p>In this paper we show that a strain-gradient plasticity model arises as the Gamma-limit of a nonlinear semi-discrete dislocation energy. We restrict our analysis to the case of plane elasticity, so that edge dislocations can be modelled as point singularities of the strain field.</p> <p>A key ingredient in the derivation is the extension of the rigidity estimate proved by Friesecke, James and Mueller to the case of fields with nonzero curl.</p>
| Item Type: | Articles (Other) |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Scardia, Dr Lucia |
| Authors: | Scardia, L., Zeppieri, C. I., and Mueller, S. |
| Subjects: | Q Science > QA Mathematics |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Indiana University Mathematics Journal |
| Publisher: | Indiana University Mathematics Journal |
| ISSN: | 0022-2518 |
| ISSN (Online): | 1943-5258 |
| Publisher Policy: | Reproduced in accordance with the copyright policy of the publisher |
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