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Publication 94

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

Authors:

CMUTimothy Blass
Department of Mathematical Sciences, Carnegie Mellon University


Marco Morandotti
Instituto Superior Tecnico
Portugal


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].
Get the paper in its entirety
14-CNA-016.pdf

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