Derivation and study of dynamical models of dislocation densities

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.
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https://hal.archives-ouvertes.fr/hal-00353621
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Submitted on : Thursday, January 15, 2009 - 6:52:13 PM
Last modification on : Thursday, May 3, 2018 - 3:32:06 PM
Long-term archiving on: Tuesday, June 8, 2010 - 8:22:48 PM

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  • HAL Id : hal-00353621, version 1
  • ARXIV : 0901.2330

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Ahmad El Hajj, H. Ibrahim, Régis Monneau. Derivation and study of dynamical models of dislocation densities. 2009. ⟨hal-00353621⟩

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