The structure of uniform discrete defective crystals
In the continuum context, a uniform crystal has dislocation density tensor constant in space. A simple iteration procedure generates an infinite set of points which is associated with uniform defective crystals. When certain necessary conditions are satisfied, there is a minimum (non-zero) separatio...
| Main Authors: | , |
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| Format: | Article |
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Springer
2006
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| Online Access: | https://eprints.nottingham.ac.uk/27626/ |
| _version_ | 1848793404169781248 |
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| author | Cermelli, Paolo Parry, Gareth P. |
| author_facet | Cermelli, Paolo Parry, Gareth P. |
| author_sort | Cermelli, Paolo |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | In the continuum context, a uniform crystal has dislocation density tensor constant in space. A simple iteration procedure generates an infinite set of points which is associated with uniform defective crystals. When certain necessary conditions are satisfied, there is a minimum (non-zero) separation of points in this set, so the set is discrete. We describe the structure of such sets explicitly, and show in particular that any such set is either a simple lattice or a 4-lattice. |
| first_indexed | 2025-11-14T18:59:45Z |
| format | Article |
| id | nottingham-27626 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T18:59:45Z |
| publishDate | 2006 |
| publisher | Springer |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-276262020-05-04T16:26:26Z https://eprints.nottingham.ac.uk/27626/ The structure of uniform discrete defective crystals Cermelli, Paolo Parry, Gareth P. In the continuum context, a uniform crystal has dislocation density tensor constant in space. A simple iteration procedure generates an infinite set of points which is associated with uniform defective crystals. When certain necessary conditions are satisfied, there is a minimum (non-zero) separation of points in this set, so the set is discrete. We describe the structure of such sets explicitly, and show in particular that any such set is either a simple lattice or a 4-lattice. Springer 2006-05-30 Article PeerReviewed Cermelli, Paolo and Parry, Gareth P. (2006) The structure of uniform discrete defective crystals. Continuum Mechanics and Thermodynamics, 18 (1-2). pp. 47-61. ISSN 1432-0959 http://link.springer.com/article/10.1007/s00161-006-0019-4 doi:10.1007/s00161-006-0019-4 doi:10.1007/s00161-006-0019-4 |
| spellingShingle | Cermelli, Paolo Parry, Gareth P. The structure of uniform discrete defective crystals |
| title | The structure of uniform discrete defective crystals |
| title_full | The structure of uniform discrete defective crystals |
| title_fullStr | The structure of uniform discrete defective crystals |
| title_full_unstemmed | The structure of uniform discrete defective crystals |
| title_short | The structure of uniform discrete defective crystals |
| title_sort | structure of uniform discrete defective crystals |
| url | https://eprints.nottingham.ac.uk/27626/ https://eprints.nottingham.ac.uk/27626/ https://eprints.nottingham.ac.uk/27626/ |