Statistical representative volume element for predicting the dielectric permittivity of random media

Abstract : When operating homogenization of random media by means of numerical simulations, it is of primary importance to know the precision of the effective property estimated on a bounded domain of a microstructure, and the size of a so-called Representative Volume Element RVE. To solve this problem, a statistical approach was developed, based on the experimental determination of the integral range of from numerical simulations. It enables us to relate the variance of the effective permittivity as a function of the volume V of the simulation, or equivalently of the number of small size unbiased simulations. The method is first validated on 2D simulations of an autodual random set, and then applied to simulations of a 3D Boolean random set.
Full abstract is available p. 59-60 at http://cmm.ensmp.fr/~jeulin/CMDS11_fichiers/CMDS%2011_Abstracts-24-07-07.pdf
Type de document :
Communication dans un congrès
Dominique Jeulin and Samuel Forest. 11th International Symposium on Continuum Models and Discrete Systems CMDS 11, Jul 2007, Paris, France. Presses des mines, pp.429-436, 2008, Sciences de la matière
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https://hal-mines-paristech.archives-ouvertes.fr/hal-00834780
Contributeur : Doriane Ibarra <>
Soumis le : lundi 17 juin 2013 - 12:10:39
Dernière modification le : mardi 12 septembre 2017 - 11:40:54

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  • HAL Id : hal-00834780, version 1

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Dominique Jeulin, Maxime Moreaud. Statistical representative volume element for predicting the dielectric permittivity of random media. Dominique Jeulin and Samuel Forest. 11th International Symposium on Continuum Models and Discrete Systems CMDS 11, Jul 2007, Paris, France. Presses des mines, pp.429-436, 2008, Sciences de la matière. <hal-00834780>

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