Published Paper

Inserted: 1 mar 2015
Last Updated: 29 oct 2016

Journal: J. Mech. Phys. Solids
Volume: 92
Pages: 87-104
Year: 2016

Abstract:

We consider a simple discrete model for screw dislocations in crystals. Using a variational discrete scheme we study the motion of a conguration of dislocations toward low energy congurations. We deduce an effective fully overdamped dynamics that follows the maximal dissipation criterion introduced in 15 and predicts motion along the glide directions of the crystal.

Keywords: dislocations, microstructures, Dynamics, Asymptotic Analysis, Variational Calculus

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• Glide directions dynamics