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The structure of uniform discrete defective crystals

Cermelli, Paolo; Parry, Gareth P.


Paolo Cermelli

Gareth P. Parry


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.

Journal Article Type Article
Publication Date May 30, 2006
Journal Continuum Mechanics and Thermodynamics
Print ISSN 0935-1175
Electronic ISSN 1432-0959
Publisher Humana Press
Peer Reviewed Peer Reviewed
Volume 18
Issue 1-2
Institution Citation Cermelli, P., & Parry, G. P. (2006). The structure of uniform discrete defective crystals. Continuum Mechanics and Thermodynamics, 18(1-2), doi:10.1007/s00161-006-0019-4
Publisher URL
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


uniformdiscdefectCermelliP.pdf (244 Kb)

AM - Accepted Manuscript

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