Elastic symmetries of defective crystals
I construct discrete and continuous crystal structures that are compatible with a given choice of dislocation density tensor, and (following Mal’cev) provide a canonical form for these discrete structures. The symmetries of the discrete structures extend uniquely to symmetries of corresponding conti...
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| Format: | Article |
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Springer
2010
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| Online Access: | https://eprints.nottingham.ac.uk/27630/ |
| _version_ | 1848793405033807872 |
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| author | Parry, Gareth P. |
| author_facet | Parry, Gareth P. |
| author_sort | Parry, Gareth P. |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | I construct discrete and continuous crystal structures that are compatible with a given choice of dislocation density tensor, and (following Mal’cev) provide a canonical form for these discrete structures. The symmetries of the discrete structures extend uniquely to symmetries of corresponding continuous structures—I calculate these symmetries explicitly for a particular choice of dislocation density tensor and deduce corresponding constraints on energy functions which model defective crystals. |
| first_indexed | 2025-11-14T18:59:46Z |
| format | Article |
| id | nottingham-27630 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T18:59:46Z |
| publishDate | 2010 |
| publisher | Springer |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-276302020-05-04T20:25:47Z https://eprints.nottingham.ac.uk/27630/ Elastic symmetries of defective crystals Parry, Gareth P. I construct discrete and continuous crystal structures that are compatible with a given choice of dislocation density tensor, and (following Mal’cev) provide a canonical form for these discrete structures. The symmetries of the discrete structures extend uniquely to symmetries of corresponding continuous structures—I calculate these symmetries explicitly for a particular choice of dislocation density tensor and deduce corresponding constraints on energy functions which model defective crystals. Springer 2010 Article PeerReviewed Parry, Gareth P. (2010) Elastic symmetries of defective crystals. Joural of Elasticity, 101 (1). pp. 101-120. ISSN 0374-3535 http://link.springer.com/article/10.1007/s10659-010-9254-9 doi:10.1007/s10659-010-9254-9 doi:10.1007/s10659-010-9254-9 |
| spellingShingle | Parry, Gareth P. Elastic symmetries of defective crystals |
| title | Elastic symmetries of defective crystals |
| title_full | Elastic symmetries of defective crystals |
| title_fullStr | Elastic symmetries of defective crystals |
| title_full_unstemmed | Elastic symmetries of defective crystals |
| title_short | Elastic symmetries of defective crystals |
| title_sort | elastic symmetries of defective crystals |
| url | https://eprints.nottingham.ac.uk/27630/ https://eprints.nottingham.ac.uk/27630/ https://eprints.nottingham.ac.uk/27630/ |