Equation of motion for dislocations with inertial effects

TL;DR

This paper proposes an approximate equation of motion for screw and edge dislocations that incorporates inertial, retardation, and relativistic effects, showing good agreement with numerical results.

Contribution

It introduces a novel approximate equation of motion for dislocations that accounts for inertial and relativistic effects in the subsonic range.

Findings

Good quantitative agreement with numerical results

Effective modeling of accelerated and decelerated dislocation regimes

Inclusion of relativistic effects in dislocation dynamics

Abstract

An approximate equation of motion is proposed for screw and edge dislocations, which accounts for retardation and for relativistic effects in the subsonic range. Good quantitative agreement is found, in accelerated or in decelerated regimes, with numerical results of a more fundamental nature.