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Elastic Symmetries of Defective Crystals

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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.

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Authors and Affiliations

  1. School of Mathematical Sciences, University of Nottingham, Nottingham, NG7 2RD, UK

    G. P. Parry

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  1. G. P. Parry
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Correspondence to G. P. Parry.

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Parry, G.P. Elastic Symmetries of Defective Crystals. J Elast 101, 101–120 (2010). https://doi.org/10.1007/s10659-010-9254-9

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  • DOI: https://doi.org/10.1007/s10659-010-9254-9

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