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Les alliages de titane sont largement utilisés dans le secteur de l’aéronautique. Cependant,ces alliages sont très sensibles aux gammes d’élaboration et de mises en forme. Cesdernières ont une grande influence sur l’intégrité de surface des produits finis, ce qui aun impact sur la durée de vie des pièces en service. Il est donc nécessaire de maîtriser lesprocédés afin de pouvoir définir la tenue en service des pièces.Dans ces travaux, les différentes intégrités de surface sont décrites en termes d’évolutionmicrostructurale, de contraintes résiduelles et de micro-géométrie. Des essais de fatigueen flexion 4 points sont réalisés pour tester les performances mécaniques de ces surfaces.Nous avons remarqué une bonne cohérence entre les modèles reliant l’intégrité de surfaceet la tenue en fatigue déterminée expérimentalement.De plus, étant donné que les alliages de titane ont des microstructures complexes etpeuvent être multiphasés, nous nous sommes aussi intéressés au caractère hétérogènede ces matériaux principalement dans l’analyse de contraintes résiduelles déterminées àl’aide de la diffraction des rayons X. Nous avons remarqué que ces hétérogénéités ontun impact sur la détermination des contraintes résiduelles. De fait une méthodologiede détermination de contraintes non standard a été mise en place et validée par dessimulations utilisant un modèle d’homogénéisation auto-cohérent.Ces modèles d’homogénéisation sont intéressants d’un point de vue de la déterminationdes contraintes résiduelles par diffraction des rayons X car ils permettent la prise encompte de l’aspect multiphasé des matériaux ainsi que leur caractère anisotrope. / Titanium alloys are widely used in aeronautics industries. However, these alloys are highlysensitive to the method for elaboration and transformation processes. These processesimpact on the surface integrity of products. Therefore, they have to be controlled inorder to predict life time of structures.In this work, the study of surface integrity is focused on the description of microstructalevolution, residual stresses and micro-geometry. Four points bending tests were performedin order to determined the fatigue limit of the different studied processes. We find outa good consistency between models used to determinate lifetime from surface integrityinvestigation and experimental results.Moreover, microstructures of titanium alloys are highly complex and they often are twophasedmaterials. Consequently, we studied the heterogeneous behaviour of such materialby X-ray diffraction investigation.We found out that these heterogeneities have an impacton residual stresses determination. Therefore, a non-standard methodology was definedand validate by simulation using a micro-mechanic model : a self-consistent model.Micro-mechanical models are interesting for the residual stresses determination using Xraydiffraction because they allow to take into account heterogeneous and anisotropicbehaviours through anisotropic elasticity and anisotropic texture.

Composite materials show heterogeneity at different length scales. hence concurrent multiscale analysis is the only reliable method to analyze them. But unfortunately there is no concurrent multi-scale strategy that is efficient, and accurate while addressing all kinds of problems. This lack of reliability is partly because there is no micro-mechanical model which inherently keeps all relevent global information with it. This thesis tries to fill this gap. The presented micro-mechanical model not only homogenizes the micro-structure but also keeps the global information with it. Most of the micro-mechanical models in the literature extract the Representative Volume Element (RVE) from the continuum for analysis which results in loss of information and accuracy. In the present approach also, the RVE has been extracted from the continuum but with the major difference that all the macro/meso-scopic parameters are accounted for. Five macro/meso-scopic one dimensional parameters have been defined which completely define the effect of continuum. 11 for one dimensional stretch, _1 for torsion, __ (_ = 2, 3) for bending and _33 for uniform pressurization due to the presence of the continuum. Further, the above macro/meso-scopic parameters are proven, by the asymptotic, theory to be constant at a cross section but vary, in general, over the length of the fiber. Hence, the analysis is valid for any location and is not restricted to any local domain. Three major problems have been addressed: • Homogenization and analysis of RVE without any defects • Homogenization and analysis of RVE with fiber-matrix de-bonding • Homogenization and analysis of RVE with radial matrix cracking. Variational Asymptotic Method (VAM) has been used to solve the above mentioned problems analytically. The results have been compared against standard results in the literature and against 3D FEA. At the end, results for “Radial deformation due to torsion” problem will be presented which was solved “accidentally.”

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