Calculus of Variations and Geometric Measure Theory

T. Hudson - M. Morandotti

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

created by morandott on 07 Mar 2017
modified on 10 May 2018


Published Paper

Inserted: 7 mar 2017
Last Updated: 10 may 2018

Journal: SIAM J. Appl. Math
Volume: 77
Number: 5
Pages: 1678-1705
Year: 2017
Doi: 10.1137/17M1119974

ArXiv: 1703.02474 PDF
Links: journal page


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: dislocation dynamics, boundary behaviour, collisions, renormalised energy