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| HAL: hal-00349568, version 1 |
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| Dislocation dynamics: from microscopic models to macroscopic crystal plasticity |
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| Ahmad El Hajj 1, 2Hassan Ibrahim 1, 3 |
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| (2009-01-01) |
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| In this paper we study the connection between four models describing dislocation dynamics: a generalized 2D Frenkel-Kontorova model at the atomic level, the Peierls-Nabarro model, the discrete dislocation dynamics and a macroscopic model with dislocation densities. We show how each model can be deduced from the previous one at a smaller scale. |
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| 1: | Centre d'Enseignement et de Recherche en Mathématiques, Informatique et Calcul Scientifique (CERMICS) |
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INRIA – Ecole des Ponts ParisTech |
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| 2: | Mathématiques - Analyse, Probabilités, Modélisation - Orléans (MAPMO) |
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Université d'Orléans – CNRS : UMR7349 |
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| 3: | CEntre de REcherches en MAthématiques de la DEcision (CEREMADE) |
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CNRS : UMR7534 – Université Paris IX - Paris Dauphine |
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| Subject | : | Mathematics/Analysis of PDEs |
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| hal-00349568, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00349568 | |
| oai:hal.archives-ouvertes.fr:hal-00349568 | |
| From: Hassan Ibrahim | |
| Submitted on: Thursday, 1 January 2009 23:19:48 | |
| Updated on: Friday, 2 January 2009 21:10:18 | |
