Inserted: 23 oct 2014
Last Updated: 12 may 2017
Journal: J. Convex Anal.
CNA Preprint 14-CNA-016
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.
Keywords: dislocations, Variational methods, Peach-Kohler force, renormalized energy