Derivation and study of dynamical models of dislocation densities

Free access article

Issue		ESAIM: PROC Volume 27, 2009 CANUM 2008


Page(s)		311 - 321
DOI		10.1051/proc/2009029
Published online		25 June 2009

ESAIM: Proc., 2009, Vol. 27, pp. 311-321
DOI: 10.1051/proc/2009029

Derivation and study of dynamical models of dislocation densities

A. El Hajj¹, H. Ibrahim² and R. Monneau²

¹ 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

Published online: 25 June 2009

Abstract
 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. 

What is OpenURL?

The OpenURL standard is a protocol for transmission of metadata describing the resource that you wish to access. An OpenURL link contains article metadata and directs it to the OpenURL server of your choice. The OpenURL server can provide access to the resource and also offer complementary services (specific search engine, export of references...). The OpenURL link can be generated by different means.

If your librarian has set up your subscription with an OpenURL resolver, OpenURL links appear automatically on the abstract pages.
You can define your own OpenURL resolver with your EDPS Account. In this case your choice will be given priority over that of your library.
You can use an add-on for your browser (Firefox or I.E.) to display OpenURL links on a page (see http://www.openly.com/openurlref/). You should disable this module if you wish to use the OpenURL server that you or your library have defined.