The structure of uniform discrete defective crystals

Cermelli, Paolo; Parry, Gareth P.

Abstract

In the continuum context, a uniform crystal has dislocation density tensor constant in space. A simple iteration procedure generates an infinite set of points which is associated with uniform defective crystals. When certain necessary conditions are satisfied, there is a minimum (non-zero) separation of points in this set, so the set is discrete. We describe the structure of such sets explicitly, and show in particular that any such set is either a simple lattice or a 4-lattice.

Citation

Cermelli, P., & Parry, G. P. (2006). The structure of uniform discrete defective crystals. Continuum Mechanics and Thermodynamics, 18(1-2), https://doi.org/10.1007/s00161-006-0019-4

• Journal Article Type: Article
• Publication Date: May 30, 2006
• Deposit Date: Oct 17, 2014
• Publicly Available Date: Oct 17, 2014
• Journal: Continuum Mechanics and Thermodynamics
• Print ISSN: 0935-1175
• Electronic ISSN: 1432-0959
• Publisher: Springer Verlag
• Peer Reviewed: Peer Reviewed
• Volume: 18
• Issue: 1-2
• DOI: https://doi.org/10.1007/s00161-006-0019-4
• Public URL: https://nottingham-repository.worktribe.com/output/703625
• Publisher URL: http://link.springer.com/article/10.1007/s00161-006-0019-4
• Additional Information: The final publication is available at Springer via http://dx.doi.org/10.1007/s00161-006-0019-4
• Contract Date: Oct 17, 2014