Inserted: 1 mar 2015
Last Updated: 29 oct 2016
Journal: J. Mech. Phys. Solids
We consider a simple discrete model for screw dislocations in crystals. Using a variational discrete scheme we study the motion of a conguration of dislocations toward low energy congurations. 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