On symmetries of crystals with defects related to a class of solvable groups (S1)
We consider distributions of dislocations in continuum models of crystals which are such that the corresponding dislocation density tensor relates to a particular class of solvable Lie group, and discrete structures which are embedded in these crystals. We provide a canonical form of these structure...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Sage
2012
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| Online Access: | https://eprints.nottingham.ac.uk/27628/ |
| Summary: | We consider distributions of dislocations in continuum models of crystals which are such that the corresponding dislocation density tensor relates to a particular class of solvable Lie group, and discrete structures which are embedded in these crystals. We provide a canonical form of these structures and, by finding the set of all generators of a corresponding discrete subgroup, we determine the ‘material’ symmetries that constrain appropriate strain energy functions. |
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