Reconciliation of local and global symmetries for a class of crystals with defects
We consider the symmetry of discrete and continuous crystal structures which are compatible with a given choice of dislocation density tensor. By introducing the notion of a 'defective point group' (determined by the dislocation density tensor), we generalize the notion of Ericksen–Pitteri...
| Main Authors: | , |
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| Format: | Article |
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Springer
2012
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| Online Access: | https://eprints.nottingham.ac.uk/27629/ |
| _version_ | 1848793404731817984 |
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| author | Parry, Gareth P. Sigrist, Rachel |
| author_facet | Parry, Gareth P. Sigrist, Rachel |
| author_sort | Parry, Gareth P. |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | We consider the symmetry of discrete and continuous crystal structures which are compatible with a given choice of dislocation density tensor. By introducing the notion of a 'defective point group' (determined by the dislocation density tensor), we generalize the notion of Ericksen–Pitteri neighborhoods to this context. |
| first_indexed | 2025-11-14T18:59:46Z |
| format | Article |
| id | nottingham-27629 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T18:59:46Z |
| publishDate | 2012 |
| publisher | Springer |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-276292020-05-04T20:22:44Z https://eprints.nottingham.ac.uk/27629/ Reconciliation of local and global symmetries for a class of crystals with defects Parry, Gareth P. Sigrist, Rachel We consider the symmetry of discrete and continuous crystal structures which are compatible with a given choice of dislocation density tensor. By introducing the notion of a 'defective point group' (determined by the dislocation density tensor), we generalize the notion of Ericksen–Pitteri neighborhoods to this context. Springer 2012 Article PeerReviewed Parry, Gareth P. and Sigrist, Rachel (2012) Reconciliation of local and global symmetries for a class of crystals with defects. Journal of Elasticity, 107 (1). pp. 81-104. ISSN 0374-3535 Crystals Defects Lie groups 74A20 74E25 http://link.springer.com/article/10.1007/s10659-011-9342-5 doi:10.1007/s10659-011-9342-5 doi:10.1007/s10659-011-9342-5 |
| spellingShingle | Crystals Defects Lie groups 74A20 74E25 Parry, Gareth P. Sigrist, Rachel Reconciliation of local and global symmetries for a class of crystals with defects |
| title | Reconciliation of local and global symmetries for a class of
crystals with defects |
| title_full | Reconciliation of local and global symmetries for a class of
crystals with defects |
| title_fullStr | Reconciliation of local and global symmetries for a class of
crystals with defects |
| title_full_unstemmed | Reconciliation of local and global symmetries for a class of
crystals with defects |
| title_short | Reconciliation of local and global symmetries for a class of
crystals with defects |
| title_sort | reconciliation of local and global symmetries for a class of
crystals with defects |
| topic | Crystals Defects Lie groups 74A20 74E25 |
| url | https://eprints.nottingham.ac.uk/27629/ https://eprints.nottingham.ac.uk/27629/ https://eprints.nottingham.ac.uk/27629/ |