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

Nicks, Rachel; Parry, Gareth P

Authors

Gareth P Parry



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 Mar 29, 2024
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

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