On symmetries of crystals with defects related to a class of solvable groups (S1)
We consider distributions of dislocations in continuum models of crystals which are such that the corresponding dislocation density tensor relates to a particular class of solvable Lie group, and discrete structures which are embedded in these crystals. We provide a canonical form of these structure...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Sage
2012
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| Online Access: | https://eprints.nottingham.ac.uk/27628/ |
| _version_ | 1848793404460236800 |
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| author | Nicks, Rachel Parry, Gareth P. |
| author_facet | Nicks, Rachel Parry, Gareth P. |
| author_sort | Nicks, Rachel |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | We consider distributions of dislocations in continuum models of crystals which are such that the corresponding dislocation density tensor relates to a particular class of solvable Lie group, and discrete structures which are embedded in these crystals. We provide a canonical form of these structures and, by finding the set of all generators of a corresponding discrete subgroup, we determine the ‘material’ symmetries that constrain appropriate strain energy functions. |
| first_indexed | 2025-11-14T18:59:46Z |
| format | Article |
| id | nottingham-27628 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T18:59:46Z |
| publishDate | 2012 |
| publisher | Sage |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-276282017-10-18T18:17:44Z https://eprints.nottingham.ac.uk/27628/ On symmetries of crystals with defects related to a class of solvable groups (S1) Nicks, Rachel Parry, Gareth P. We consider distributions of dislocations in continuum models of crystals which are such that the corresponding dislocation density tensor relates to a particular class of solvable Lie group, and discrete structures which are embedded in these crystals. We provide a canonical form of these structures and, by finding the set of all generators of a corresponding discrete subgroup, we determine the ‘material’ symmetries that constrain appropriate strain energy functions. Sage 2012 Article PeerReviewed application/pdf en https://eprints.nottingham.ac.uk/27628/1/Solvable1.pdf Nicks, Rachel and Parry, Gareth P. (2012) On symmetries of crystals with defects related to a class of solvable groups (S1). Mathematics and Mechanics of Solids, 17 (6). pp. 631-651. ISSN 1081-2865 http://mms.sagepub.com/content/17/6/631.abstract doi:10.1177/1081286511427485 doi:10.1177/1081286511427485 |
| spellingShingle | Nicks, Rachel Parry, Gareth P. On symmetries of crystals with defects related to a class of solvable groups (S1) |
| title | On symmetries of crystals with defects related to a class of solvable groups (S1) |
| title_full | On symmetries of crystals with defects related to a class of solvable groups (S1) |
| title_fullStr | On symmetries of crystals with defects related to a class of solvable groups (S1) |
| title_full_unstemmed | On symmetries of crystals with defects related to a class of solvable groups (S1) |
| title_short | On symmetries of crystals with defects related to a class of solvable groups (S1) |
| title_sort | on symmetries of crystals with defects related to a class of solvable groups (s1) |
| url | https://eprints.nottingham.ac.uk/27628/ https://eprints.nottingham.ac.uk/27628/ https://eprints.nottingham.ac.uk/27628/ |