2017/03/07 by Thomas Hudson, Marco Morandotti, Hudson, Thomas +1
Computer Science · Engineering · Materials Science · #37N15 #70Fxx #74H05 #82D25 #Contact Mechanics and Variational Inequalities #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Materials Science (cond-mat.mtrl-sci) #Microstructure and mechanical properties #Numerical methods in engineering
paper · pdf · doi:10.48550/arxiv.1703.02474
openalex publication_date 2017/03/07 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28
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.