# Properties of screw dislocation dynamics: time estimates on boundary and interior collisions

## TL;DR

This paper investigates screw dislocation dynamics in antiplane linear elasticity, providing estimates on collision times with boundaries and between dislocations, supported by exact solutions and numerical simulations.

## Contribution

It offers new analytical estimates for collision times in screw dislocation systems, enhancing understanding of their boundary and interior interactions.

## Key findings

- Collision time estimates for boundary interactions
- Collision time estimates for dislocation pairs of opposite Burgers moduli
- Agreement between analytical estimates, exact solutions, and numerical simulations

## Abstract

In this paper, the dynamics of a system of a finite number of screw dislocations is studied. Under the assumption of antiplane linear elasticity, the two-dimensional dynamics is determined by the renormalised energy. The interaction of one dislocation with the boundary and of two dislocations of opposite Burgers moduli are analysed in detail and estimates on the collision times are obtained. Some exactly solvable cases and numerical simulations show agreement with the estimates obtained.