Volume 27, 2009CANUM 2008
|Page(s)||311 - 321|
|Published online||25 June 2009|
Derivation and study of dynamical models of dislocation densities
Université d'Orléans, Laboratoire MAPMO, Route de Chartres, B.P. 6759-45067 Orléans, cedex 2, France
2 Ecole Nationale des Ponts et Chaussées, CERMICS, 6 et 8 avenue Blaise Pascal Cité Descartes Champs-sur-Marne, 77455 Marne-la-Vallée Cedex 2, France
In this paper, starting from the microscopic dynamics of isolated dislocations, we explain how to derive formally mean field models for the dynamics of dislocation densities. Essentially these models are tranport equations, coupled with the equations of elasticity. Rigorous results of existence of solutions are presented for some of these models and the main ideas of the proofs are given.
© EDP Sciences, ESAIM, 2009
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