Properties of screw dislocation dynamics: time estimates on boundary and interior collisions
Dynamical Systems
2017-06-30 v2 Materials Science
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.
Keywords
Cite
@article{arxiv.1703.02474,
title = {Properties of screw dislocation dynamics: time estimates on boundary and interior collisions},
author = {Thomas Hudson and Marco Morandotti},
journal= {arXiv preprint arXiv:1703.02474},
year = {2017}
}
Comments
25 pages, 4 figures