The structure of uniform discrete defective crystals

Cermelli, Paolo and Parry, Gareth P. (2006) The structure of uniform discrete defective crystals. Continuum Mechanics and Thermodynamics, 18 (1-2). pp. 47-61. ISSN 0935-1175

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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.

Item Type: Article
Additional Information: The final publication is available at Springer via http://dx.doi.org/10.1007/s00161-006-0019-4
Schools/Departments: University of Nottingham UK Campus > Faculty of Science > School of Mathematical Sciences
Identification Number: https://doi.org/10.1007/s00161-006-0019-4
Depositing User: Parry, Dr Gareth
Date Deposited: 17 Oct 2014 15:50
Last Modified: 14 Sep 2016 15:02
URI: http://eprints.nottingham.ac.uk/id/eprint/27626

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