Elastic symmetries of defective crystals
Parry, Gareth P. (2010) Elastic symmetries of defective crystals. Joural of Elasticity, 101 (1). pp. 101-120. ISSN 0374-3535
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.
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