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, Pour comprendre la situation à la nanoéchelle et prendre en compte les corrélations entre les ions de taille finie, des modèles plus élaborés que l'équation de Poisson-Boltzmann sont construits. Le premier combine la théorie de la fonctionnelle de densité (DFT) et l'approximation de la moyenne sphérique (MSA) pour décrire les corrélations ioniques ; le second résout l'équation de Ornstein-Zernike dans le cadre de l'approximation Hyper Netted Chain (HNC). La mécanique du système à la nanoéchelle est ensuite analysée soigneusement à partir du tenseur intermoléculaire de Irving-Kirkwood et la vérification de l'équilibre mécanique fournit un test de la qualité des modèles étudiés, Ce travail est consacré à l'étude des effets électro-chimio-mécaniques pour des argiles (smectites) saturées par un électrolyte aqueux en utilisant les outils de la mécanique statistique
, Une méthode d'homogénéisation périodique est utilisée pour effectuer un double changement d'échelle (nano, micro, macro) et obtenir les lois constitutives macroscopiques : définition de la pression de gonflement et propriétes de transport dans une approche à double porosité. Enfin, le modèle de trois échelles est appliqué à la simulation d
, Mots-clés : mécanique statistique, argile gonflante, homogénéisation, milieu poreux, pression de disjonction