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Publication 94

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


CMUTimothy Blass
Department of Mathematical Sciences, Carnegie Mellon University

Marco Morandotti
Instituto Superior Tecnico

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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