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

作者：Lazar Markus^*; Kirchner Helmut O K

来源：Philosophical Magazine, 2013, 93(1-3): 174-185.

DOI：10.1080/14786435.2012.657705

• anisotropic elasticity
• dislocation loop
• Green tensor
• Burgers formula
• interaction energy

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.

• 出版日期2013-1-1