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Modélisation non locale de l'endommagement dans les structures composites

Abstract : Sophisticated constitutive equations have recently been proposed to describe the mechanical behavior and damage of polymer matrix composites. Using these equations, the finite element method makes it possible to predict the degradation of composite structures. However using standard finite element procedures, theses equations may lead to numerical problems (instabilities, damage localization, . . .) so that meaningful results are difficult to obtain. One of the solutions consists in writing the constitutive equations in a nonlocal framework. The first part of this thesis is consecrated to the study of such methods in a simplified case (homogeneous isotropic material) and to the coupling of such formulation with arc-length algorithm and parallel computing. Then, extensions of the implicit gradient formulation, to anisotropic laminate structures, are proposed so as to account for the specificity of such materials. According to this nonlocalmechanical framework, a specific finite element is developed to model the stratified at the mesoscopic scale without explicitly mesh the layers and scale change. Finally, a comparison between finite elements simulations and experimental results is performed to study the efficiency of such original modelling methods and the nature of the new parameters resulting from the nonlocal model.
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https://pastel.archives-ouvertes.fr/tel-00271225
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Submitted on : Tuesday, April 8, 2008 - 3:20:35 PM
Last modification on : Thursday, September 24, 2020 - 6:30:04 PM
Long-term archiving on: : Friday, May 21, 2010 - 1:30:13 AM

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  • HAL Id : tel-00271225, version 1

Citation

Norbert Germain. Modélisation non locale de l'endommagement dans les structures composites. Mécanique [physics.med-ph]. École Nationale Supérieure des Mines de Paris, 2006. Français. ⟨tel-00271225⟩

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