On symmetries of crystals with defects related to a class of solvable groups (S1)

Nicks, Rachel; Parry, Gareth P

Abstract

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.

Citation

Nicks, R., & Parry, G. P. (2012). On symmetries of crystals with defects related to a class of solvable groups (S1). Mathematics and Mechanics of Solids, 17(6), 631-651. https://doi.org/10.1177/1081286511427485

• Journal Article Type: Article
• Online Publication Date: Nov 24, 2011
• Publication Date: 2012-08
• Deposit Date: Oct 17, 2014
• Publicly Available Date: Oct 17, 2014
• Journal: Mathematics and Mechanics of Solids
• Print ISSN: 1081-2865
• Electronic ISSN: 1741-3028
• Publisher: SAGE Publications
• Peer Reviewed: Peer Reviewed
• Volume: 17
• Issue: 6
• Pages: 631-651
• DOI: https://doi.org/10.1177/1081286511427485
• Keywords: General Materials Science; Mechanics of Materials; General Mathematics
• Public URL: https://nottingham-repository.worktribe.com/output/1009023
• Publisher URL: http://mms.sagepub.com/content/17/6/631.abstract