Self-interaction of an arbitrary moving dislocation
arXiv:2109.07331 · doi:10.1016/j.ijsolstr.2022.111538
Abstract
The action functional for a linear elastic medium with dislocations is given. The equations of motion following from this action reproduce the Peach-Köhler and Lorentzian forces experienced by dislocations. The explicit expressions for singular and finite parts of the self-force 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 slow speed and near-sonic motions of a dislocation are investigated. In the near-sonic limit, the explicit expression for the leading contribution to the self-force is obtained. In the case of slowly moving dislocations, the effective equations of motion derived in the present paper reproduce the known results.
arXiv comment43 pp., some comments added and some terms changed
References in corpus (10)
- Intermittent dislocation flow in viscoplastic deformation
- Plasticity in amorphous solids is mediated by topological defects in the displacement field
- The phonon drag force acting on a mobile crystal defect: full treatment of discreteness and non-linearity
- D-brane Bremsstrahlung
- A general solution for accelerating screw dislocations in arbitrary slip systems with reflection symmetry
- Regularization of the linearized gravitational self-force for branes
- Branestrahlung: radiation in the particle-brane collision
- High-temperature expansion of the one-loop effective action induced by scalar and Dirac particles
- Dynamic Peach-Koehler self-force, inertia, and radiation damping of a regularized dislocation
- Effective dynamics of an electrically charged string with a current