2014/10/22 by Timothy Blass, Marco Morandotti, Blass, Timothy +1
Mathematics · #49J99 #70F99 #70G75 #74B05 #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP #msc:49J99 #msc:70F99 #msc:70G75 #msc:74B05
paper · pdf · doi:10.48550/arxiv.1410.6200
22 pages
arxiv created 2014/10/22 · arxiv updated 2014/10/24
We present a variational framework for studying screw dislocations subject to antiplane shear. Using a classical model developed by Cermelli and Gurtin, methods of Calculus of Variations are exploited to prove existence of solutions, and to derive a useful expression of the Peach-Köhler forces acting on a system of dislocation. This provides a setting for studying the dynamics of the dislocations, which is done in a forthcoming work.