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Analyse des liens entre un modèle d'endommagement et un modèle de fracture

Abstract : This thesis is devoted to the derivation of fracture models as limit damage models.The study is justified mainly through numerical simulations.We are interested in studying a damage model initiated by Allaire, Jouve and Vangoethem.We are making significant improvements to this model justifying the physical consistency of the approach.First, we add a constraint on the minimum thickness of the damaged area and then we add a condition of strong irreversibility.We see also a fracture model with jump penalization obtained as an asymptotic limit of a damage model.We justify this model by a one-dimensional formal asymptotic numerical study.Then, the generalization in the case 2D is illustrated by numerical examples.
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Submitted on : Tuesday, May 30, 2017 - 10:55:09 PM
Last modification on : Sunday, February 2, 2020 - 12:42:11 PM
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  • HAL Id : tel-01529518, version 1

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Leila Azem. Analyse des liens entre un modèle d'endommagement et un modèle de fracture. Mécanique des structures [physics.class-ph]. Université Paris-Saclay; Université de Tunis El-Manar. Faculté des Sciences de Tunis (Tunisie), 2017. Français. ⟨NNT : 2017SACLX006⟩. ⟨tel-01529518⟩

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