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                <term xml:lang="en">Thermo-oxidation</term>
                <term xml:lang="en">Polymer matrix composites</term>
                <term xml:lang="en">Scale transition models</term>
                <term xml:lang="en">Local stress</term>
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              <p>The aim of this work is the study of the mechanical behavior of polymer matrix composites reinforced with carbon fiber, which have undergone a thermo-oxidation process. The purpose of this work is the multi-scale analysis of the consequences of oxidation of epoxy matrices on the intrinsic mechanical properties of the external composite ply, on the one hand, and on the internal mechanical states experienced by the structure as a function of the considered mechanical load, on the other hand. Effective mechanical properties of oxidized composite plies are determined according to Eshelby-Kröner self-consistent homogenization procedure, depending on the progress of the oxidation process. The results are compared to the corresponding properties estimated by the finite element method. The macroscopic mechanical states are calculated for T300/5208 unidirectional composite and laminates. The macroscopic stresses undergone by each ply of the structure was deduced from the classical lamination theory and by the finite element method, whereas the local stresses in both constituents (carbon fiber and epoxy matrix) were calculated for each ply of structure, through an analytical stress concentration relation previously demonstrated in [1], which satisfies the mathematical framework of Eshelby-Kröner self-consistent model. The local stresses have also been compared with the results obtained using the finite element method: the two approaches predict close together results.</p>
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              <p>L’objectif de ce travail est l’étude du comportement mécanique des composites à matrice polymère renforcée avec la fibre de carbone, qui ont subi un processus de thermo-oxydation. Le but de ce travail est l’analyse multi-échelle des conséquences de l’oxydation de la matrice époxy sur les propriétés mécaniques intrinsèques de la couche extérieure en composite, d’une part, et sur la mécanique interne des états, par la structure en fonction de la charge mécanique considéré, d’autre part. Les propriétés mécaniques effectives du composite oxydé plies sont déterminées en fonction de la procédure d’homogénéisation de Eshelby-Kröner auto-cohérent, et en fonction de l’avancement du processus d’oxydation. Les résultats sont comparés aux propriétés correspondantes estimées par la méthode des éléments finis. Les mécaniques macroscopiques sont calculées pour les états T300/5208 composites unidirectionnels et stratifiés. Le stress subi par macroscopique de chaque pli de la structure a été déduite de la théorie classique de laminage et par la méthode des éléments finis, alors que comme il le souligne à la fois, les constituants (fibre de carbone et de résine époxy matrice) ont été calculées pour chaque pli de la structure, par le biais d’une analyse du stress concentration, relation déjà démontrée dans [1], qui répond aux mathématiques qu’au modèle auto-cohérent de Eshelby-Kröner modèle auto-cohérent. Les stress locaux ont également été comparés  avec les résultats obtenus en utilisant la méthode des éléments finis: les deux approchesprédisent des résultats proches.</p>
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