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Theses

Analyse des efforts à l'interface entre les couches des matériaux composites à l'aide de modèles multiparticulaires de matériaux multicouches (M4)

Abstract : The aim of the thesis is to design tool for engineers simple to use which is able to analyze 3D stresses responsible for edge delamination or transverse crackings in multilayed materials. In the first part of the dissertation, we built Multiparticle Models (M4) from 3D approximate stresses written as Legendre's z polynomials layerwise. Polynomial coefficients are (x, y) fields which are connected to generalized stresses. We use Hellinger-Reissner's formulation to deduce displacements and associate generalized strains. Writing the formulation stationary, we give equilibrium equations, boundary conditions and constitutive laws. According to the different approximate stress fields, we have 7n, 5n, 3n and (2n+1) (n: layer number) plane equilibrium equations. In the second part of the thesis, we test four models concerning the problem of the boundary traction conditions on any angles laminates and (0°, 90°)s laminate with circular opening. We write analytically the systems of equations which condense on y second order of differential system of equations and whose resolution is performed by MATHEMATICA. On (0°, 90°)s laminate without hole, we show that miss stresses energy of reduced models do not disappear but is transferred on these still remaining stresses. On the simplest Multiparticle Model M4_(2n+1)M case, to ensure a global equilibrium of laminate, we propose a concept, which can be applied generally, of Dirac lineic stress whose intensity is connected with the maximum of edge shear stress. We think that it can be used as the essential information in order to define a criterion of delamination.
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https://pastel.archives-ouvertes.fr/tel-00197853
Contributor : Armelle Chabot <>
Submitted on : Saturday, December 15, 2007 - 10:43:27 PM
Last modification on : Tuesday, March 19, 2019 - 2:38:03 PM
Long-term archiving on: : Monday, April 12, 2010 - 8:05:01 AM

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  • HAL Id : tel-00197853, version 1

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Armelle Chabot. Analyse des efforts à l'interface entre les couches des matériaux composites à l'aide de modèles multiparticulaires de matériaux multicouches (M4). Matériaux. Ecole Nationale des Ponts et Chaussées, 1997. Français. ⟨tel-00197853⟩

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