Published Paper

Inserted: 23 oct 2014
Last Updated: 12 may 2017

Journal: J. Convex Anal.
Volume: 24
Number: 2
Pages: 547-570
Year: 2017
Notes:

CNA Preprint 14-CNA-016

Abstract:

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

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