Gareth P. Parry
Elastic symmetries of defective crystals
Parry, Gareth P.
Authors
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.
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 |
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