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Publication 14-CNA-016

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

Timothy Blass
Department of Mathematical Sciences
Carnegie Mellon University
Pittsburgh PA 15213-3890 USA
tblass@andrew.cmu.edu

Marco Morandotti
Instituto Superior Técnico
Portugal
marco.morandotti@tecnico.ulisboa.pt

Abstract: We present a variational framework for studying screw dislocations subject to antiplane shear. Using a classical model developed by Cermelli & Gurtin [CG99], 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 [BFLM14].

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