Journal
MATHEMATICS AND MECHANICS OF SOLIDS
Volume 19, Issue 4, Pages 337-349Publisher
SAGE PUBLICATIONS LTD
DOI: 10.1177/1081286512465222
Keywords
Continuum mechanics; dislocations; differential forms; singularities; de Rham currents; Frank's rules
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Funding
- B.G.U. President's Award to Visitors
- Natural Sciences and Engineering Council of Canada
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The theory of singular dislocations is placed within the framework of the theory of continuous dislocations using de Rham currents. For a general n-dimensional manifold, an (n - 1)-current describes a local layering structure and its boundary in the sense of currents represents the structure of the dislocations. Frank's rules for dislocations follow naturally from the nilpotency of the boundary operator.
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