Selfinteraction of an arbitrary moving dislocation
Abstract
The action functional for a linear elastic medium with dislocations is given. The equations of motion following from this action reproduce the PeachKöhler and Lorentzian forces experienced by dislocations. The explicit expressions for singular and finite parts of the selfforce acting on a curved dislocation are derived in the framework of linear theory of elasticity of an isotropic medium. The velocity of dislocation is assumed to be arbitrary but less than the shear wave velocity. The nonrelativistic and ultrarelativistic limits are investigated. In the ultrarelativistic limit, the explicit expression for the leading contribution to the selfforce is obtained. In the case of slowly moving dislocations, the effective equations of motion derived in the present paper reproduce the known results.
 Publication:

arXiv eprints
 Pub Date:
 September 2021
 arXiv:
 arXiv:2109.07331
 Bibcode:
 2021arXiv210907331K
 Keywords:

 Condensed Matter  Materials Science;
 Condensed Matter  Soft Condensed Matter
 EPrint:
 42 pp