Circular Dislocations in an Anisotropic Medium: Specific Energy and Stress Fields

A pseudodifferential operator is constructed that describes the stress field in an anisotropic medium caused by a dislocation with a variable Burgers vector. Under the assumption b is an element of H-1/2 (Pi, R-3) analytical expressions for the energy of circular dislocations with a variable Burgers vector in an elastic medium with general anisotropy are obtained for the first time. It was found that in an isotropic medium the energy of formation of an edge dislocation and a slip dislocation is determined only by the uniform norm of the Burgers vector.

Automated summary

A pseudodifferential operator is used to describe the stress field caused by a dislocation with a variable Burgers vector in an anisotropic medium, and analytical expressions for the energy of circular dislocations with variable Burgers vectors in elastic media with general anisotropy are obtained for the first time under certain assumptions. It is found that in an isotropic medium, the energy of formation of edge and slip dislocations is solely determined by the uniform norm of the Burgers vector.