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

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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

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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.

Item Type: Article
Schools/Departments: University of Nottingham, UK > Faculty of Science > School of Mathematical Sciences
Identification Number: https://doi.org/10.1177/1081286511427485
Depositing User: Parry, Dr Gareth
Date Deposited: 17 Oct 2014 16:06
Last Modified: 18 Oct 2017 18:17
URI: https://eprints.nottingham.ac.uk/id/eprint/27628

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