Dislocation loops in anisotropic elasticity: Displacement field, stress function tensor and interaction energy
Document Type
Article
Publication Date
1-1-2013
Abstract
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.
Publication Title
Philosophical Magazine
Recommended Citation
Lazar, M.,
&
Kirchner, H.
(2013).
Dislocation loops in anisotropic elasticity: Displacement field, stress function tensor and interaction energy.
Philosophical Magazine,
93(1-3), 174-185.
http://doi.org/10.1080/14786435.2012.657705
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/9466
