Geometric aspects of singular dislocations.

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  • Additional Information
    • Subject Terms:
      GEOMETRIC measure theory; DISLOCATIONS in crystals; CONTINUUM mechanics; MATHEMATICAL singularities; DIFFERENTIAL forms; CURRENTS (Calculus of variations)
    • Abstract:
      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. [ABSTRACT FROM PUBLISHER]
    • Abstract:
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