The gauge theory of dislocations: a nonuniformly moving screw dislocation

TL;DR

This paper develops a gauge theory framework to analyze the complex fields and radiation effects of a nonuniformly moving screw dislocation in an infinite medium, providing explicit integral solutions.

Contribution

It introduces a gauge theory approach to model the dynamics of nonuniform screw dislocations, deriving explicit integral expressions for associated fields and radiation effects.

Findings

Explicit integral representations of elastic fields around moving dislocations

Derived equations of motion for arbitrary screw dislocation velocities

Analyzed radiation fields and velocity-dependent effects

Abstract

We investigate the nonuniform motion of a straight screw dislocation in infinite media in the framework of the translational gauge theory of dislocations. The equations of motion are derived for an arbitrary moving screw dislocation. The fields of the elastic velocity, elastic distortion, dislocation density and dislocation current surrounding the arbitrarily moving screw dislocation are derived explicitely in the form of integral representations. We calculate the radiation fields and the fields depending on the dislocation velocities.