%0 Report
%D 2015
%T Dynamics of screw dislocations: a generalised minimising-movements scheme approach
%A Giovanni A. Bonaschi
%A Patrick Van Meurs
%A Marco Morandotti
%X The gradient flow structure of the model introduced in [CG99] for the dynamics of screw dislocations is investigated by means of a generalised minimising-movements scheme approach. The assumption of a finite number of available glide directions, together with the "maximal dissipation criterion" that governs the equations of motion, results into solving a differential inclusion rather than an ODE. This paper addresses how the model in [CG99] is connected to a time-discrete evolution scheme which explicitly confines dislocations to move each time step along a single glide direction. It is proved that the time-continuous model in [CG99] is the limit of these time-discrete minimising-movement schemes when the time step converges to 0. The study presented here is a first step towards a generalization of the setting in [AGS08, Chap. 2 and 3] that allows for dissipations which cannot be described by a metric.
%I SISSA
%G en
%U http://urania.sissa.it/xmlui/handle/1963/34495
%1 34692
%2 Mathematics
%4 1
%$ Submitted by Maria Pia Calandra (calapia@sissa.it) on 2015-09-04T08:36:59Z
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