Dislocation loops in anisotropic elasticity: Displacement field, stress function tensor and interaction energy

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The aim of the present paper is to give a clear and straightforward derivation of the displacement field, stress function tensor and interaction energy of dislocations in the theory of incompatible anisotropic elasticity. The displacement field caused by a dislocation loop in an elastically anisotropic medium can be written as the sum of a line integral plus a purely geometric part. This is the anisotropic generalization of the Burgers formula. Formulae for the first-order stress function tensor and the interaction energy between two dislocation loops in anisotropic media are derived. © 2013 Copyright Taylor and Francis Group, LLC.

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Philosophical Magazine