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Reconciliation of Local and Global Symmetries for a Class of Crystals with Defects

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Abstract

We consider the symmetry of discrete and continuous crystal structures which are compatible with a given choice of dislocation density tensor. By introducing the notion of a ‘defective point group’ (determined by the dislocation density tensor), we generalize the notion of Ericksen–Pitteri neighborhoods to this context.

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Authors and Affiliations

  1. School of Mathematical Sciences, University of Nottingham, Nottingham, UK

    Gareth P. Parry & Rachel Sigrist

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  1. Gareth P. Parry
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  2. Rachel Sigrist
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Correspondence to Gareth P. Parry.

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Parry, G.P., Sigrist, R. Reconciliation of Local and Global Symmetries for a Class of Crystals with Defects. J Elast 107, 81–104 (2012). https://doi.org/10.1007/s10659-011-9342-5

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  • DOI: https://doi.org/10.1007/s10659-011-9342-5

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