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Reconciliation of local and global symmetries for a class of crystals with defects

Parry, Gareth P.; Sigrist, Rachel

Authors

Gareth P. Parry gareth.parry@nottingham.ac.uk



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.

Journal Article Type Article
Publication Date Jan 1, 2012
Journal Journal of Elasticity
Print ISSN 0374-3535
Electronic ISSN 0374-3535
Publisher Springer Verlag
Peer Reviewed Peer Reviewed
Volume 107
Issue 1
APA6 Citation Parry, G. P., & Sigrist, R. (2012). Reconciliation of local and global symmetries for a class of crystals with defects. Journal of Elasticity, 107(1), doi:10.1007/s10659-011-9342-5
DOI https://doi.org/10.1007/s10659-011-9342-5
Keywords Crystals, Defects, Lie groups, 74A20, 74E25
Publisher URL http://link.springer.com/article/10.1007/s10659-011-9342-5
Copyright Statement Copyright information regarding this work can be found at the following address: http://eprints.nottingh.../end_user_agreement.pdf
Additional Information The final publication is available at Springer via http://dx.doi.org/10.1007/s10659-011-9342-5

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Copyright Statement
Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf





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