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Geometric Aspects of Singular Dislocations

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.
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Preprints, Working Papers, ...
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Contributor : Christian Cardillo <>
Submitted on : Monday, March 10, 2014 - 3:03:02 PM
Last modification on : Monday, July 22, 2019 - 11:46:01 AM

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  • HAL Id : hal-00957483, version 1
  • ARXIV : 1208.4215



Marcelo Epstein, Reuven Segev. Geometric Aspects of Singular Dislocations. 2012. ⟨hal-00957483⟩



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