Elastic symmetries of defective crystals

Parry, Gareth P.

Abstract

I construct discrete and continuous crystal structures that are compatible with a given choice of dislocation density tensor, and (following Mal’cev) provide a canonical form for these discrete structures. The symmetries of the discrete structures extend uniquely to symmetries of corresponding continuous structures—I calculate these symmetries explicitly for a particular choice of dislocation density tensor and deduce corresponding constraints on energy functions which model defective crystals.

Citation

Parry, G. P. (2010). Elastic symmetries of defective crystals. Journal of Elasticity, 101(1), https://doi.org/10.1007/s10659-010-9254-9

• Journal Article Type: Article
• Publication Date: Jan 1, 2010
• Deposit Date: Oct 17, 2014
• Publicly Available Date: Oct 17, 2014
• Journal: Joural of Elasticity
• Electronic ISSN: 0374-3535
• Publisher: Springer Verlag
• Peer Reviewed: Peer Reviewed
• Volume: 101
• Issue: 1
• DOI: https://doi.org/10.1007/s10659-010-9254-9
• Public URL: https://nottingham-repository.worktribe.com/output/1013031
• Publisher URL: http://link.springer.com/article/10.1007/s10659-010-9254-9
• Additional Information: The final publication is available at Springer via http://dx.doi.org/10.1007/s10659-010-9254-9