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Introduction au calcul de microstructures

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TLDR
In this article, le calcul de volumes elementaires representatifs de materiaux heterogenes permet de prevoir l'influence de la morphologie des phases and de leur repartition sur les proprietes effectives lineaires ou non, l'objectif in fine andant l'optimisation de microstructures, la methode donne acces aux valeurs locales des contraintes and deformations which permettent ensuite de previr l'apparition and la propagation de l'endomm
Abstract
Resume S'appuyant sur les methodes de la mecanique des structures et sur les connaissances en sciences des materiaux, le calcul de microstructures est devenu un outil privilegie et accessible de la mecanique des materiaux heterogenes Il s'impose pour le calcul de composants industriels dont la taille est de l'ordre de grandeur de celle des heterogeneites, ou qui presentent des singularites geometriques telles que des microperforations Le calcul de volumes elementaires representatifs de materiaux heterogenes permet de prevoir l'influence de la morphologie des phases et de leur repartition sur les proprietes effectives lineaires ou non, l'objectif in fine etant l'optimisation de microstructures La methode donne acces aux valeurs locales des contraintes et deformations qui permettent ensuite de prevoir l'apparition et la propagation de l'endommagement On insiste sur les moyens actuellement disponibles pour obtenir des representations realistes tridimensionnelles des microstructures et sur les moyens de calcul a mettre en œuvre La difficulte du choix et de l'identification des lois de comportement des constituants demeure le facteur limitant Les exemples presentes concernent les alliages polycristallins, les revetements multicristallins, les mousses metalliques et des biphases a fort contraste de proprietes

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Determination of the size of the representative volume element for random composites: statistical and numerical approach

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Thermomechanical couplings in crystalline plasticity under fatigue loading

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Neighborhood effect on the strain distribution in linearly elastic polycrystals: Part 1 – Finite element study of the interaction between grains

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References
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The deformation of plastically non-homogeneous materials

TL;DR: The geometrically necessary dislocations as discussed by the authors were introduced to distinguish them from the statistically storages in pure crystals during straining and are responsible for the normal 3-stage hardening.
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Theory of structural transformations in solids

TL;DR: Theory of structural transformations in solids as mentioned in this paper, Theory of structural transformation of solids, and structural transformation in the solids. But, the structural transformations are not necessarily symmetric.
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A method of finite element tearing and interconnecting and its parallel solution algorithm

TL;DR: A novel domain decomposition approach for the parallel finite element solution of equilibrium equations is presented, which exhibits a degree of parallelism that is not limited by the bandwidth of the finite element system of equations.