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

Parry, Gareth P.; Sigrist, Rachel

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.

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), 81-104. https://doi.org/10.1007/s10659-011-9342-5

• Journal Article Type: Article
• Online Publication Date: May 5, 2011
• Publication Date: 2012-03
• Deposit Date: Oct 17, 2014
• Publicly Available Date: Oct 17, 2014
• Journal: Journal of Elasticity
• Print ISSN: 0374-3535
• Electronic ISSN: 1573-2681
• Publisher: Springer Verlag
• Peer Reviewed: Peer Reviewed
• Volume: 107
• Issue: 1
• Pages: 81-104
• DOI: https://doi.org/10.1007/s10659-011-9342-5
• Keywords: Mechanical Engineering; General Materials Science; Mechanics of Materials
• Public URL: https://nottingham-repository.worktribe.com/output/1009113
• Publisher URL: http://link.springer.com/article/10.1007/s10659-011-9342-5
• Additional Information: The final publication is available at Springer via http://dx.doi.org/10.1007/s10659-011-9342-5