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The structure of uniform discrete defective crystals

Cermelli, Paolo; Parry, Gareth P.

Authors

Paolo Cermelli paolo.cermelli@unito.it

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



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.

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
DOI https://doi.org/10.1007/s00161-006-0019-4
Publisher URL http://link.springer.com/article/10.1007/s00161-006-0019-4
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/s00161-006-0019-4

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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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