Author
I. Galliet
Bio: I. Galliet is an academic researcher from Mines ParisTech. The author has contributed to research in topics: Structural mechanics & Representative elementary volume. The author has an hindex of 3, co-authored 3 publications receiving 1724 citations.
Papers
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TL;DR: In this article, a quantitative definition of the representative volume element (RVE) size is proposed, which can be associated with a given precision of the estimation of the overall property and the number of realizations of a given volume V of microstructure that one is able to consider.
1,772 citations
TL;DR: In this article, the authors use a simplified homogenization polycrystal model to compute the local stress-strain fields that can be used to predict damage or crack initiation.
174 citations
Journal Article•
TL;DR: 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
8 citations
Cited by
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TL;DR: In this article, a quantitative definition of the representative volume element (RVE) size is proposed, which can be associated with a given precision of the estimation of the overall property and the number of realizations of a given volume V of microstructure that one is able to consider.
1,772 citations
TL;DR: Vonoi tessellations are used and are shown to include morphological properties that make them particularly challenging to mesh with high element quality, and the results are mainly illustrated by the high-quality meshing of polycrystals with large number of grains.
815 citations
TL;DR: In this article, various formats of gradient elasticity and their performance in static and dynamic applications are discussed and an overview of length scale identification and quantification procedures is given, together with the variationally consistent boundary conditions.
723 citations
TL;DR: In this paper, the concept of representative volume element (RVE) is analyzed for elastic materials and the results were based on a statistical analysis of numerical experiments, where tests have been performed on a random heterogeneous material.
587 citations
TL;DR: In this paper, the authors focus on the scale over which homogenization is being carried out, called the mesoscale, separating the microscale (level of microheterogeneities) from the macroscale (Level of RVE).
515 citations