Self-interaction of an arbitrary moving dislocation. (1st May 2022)

• Record Type: Journal Article
• Authors: Kazinski, P.O.; Ryakin, V.A.; Sokolov, A.A.
• Is Part Of: International journal of solids and structures. Volume 242(2022)
• Publication Date: 2022-05-01
• Subjects: Dislocation dynamics -- Dislocation gliding -- Dislocation theory; Mechanics, Applied -- Periodicals; Structural analysis (Engineering) -- Periodicals; Elastic solids -- Periodicals; Mécanique appliquée -- Périodiques; Constructions, Théorie des -- Périodiques; Solides élastiques -- Périodiques; Elastic solids; Mechanics, Applied; Structural analysis (Engineering); Periodicals; 624.18
• DOI: 10.1016/j.ijsolstr.2022.111538
• Languages: English
• ISSNs: 0020-7683

Abstract

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.