Calculus of Variations and Geometric Measure Theory

T. Blass - M. Morandotti

Renormalized Energy and Peach-Köhler Forces for Screw Dislocations with Antiplane Shear

created by morandott on 23 Oct 2014
modified on 12 May 2017


Published Paper

Inserted: 23 oct 2014
Last Updated: 12 may 2017

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

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