Modelling of volume change in granular materials in relation to their internal state

Eric Vincens; Yuhanis Yunus; Bernard Cambou

doi:10.1016/j.crme.2010.10.002

Modelling of volume change in granular materials in relation to their internal state
[Modélisation des variations volumiques dans les matériaux granulaires prenant en compte leur état interne]

Eric Vincens ¹ ; Yuhanis Yunus ¹ ; Bernard Cambou ¹

¹ Université de Lyon, LTDS, UMR CNRS 5513, École centrale de Lyon, 36, avenue Guy-de-Collongue, 69134 Écully cedex, France

Comptes Rendus. Mécanique, Volume 338 (2010) no. 10-11, pp. 615-626.

Résumé
Abstract

Des essais numériques ont été réalisés sur des échantillons composés de sphères rigides pour étudier le comportement des matériaux granulaires sur des chemins de chargement complexes, impliquant des chemins triaxiaux monotones ou cycliques alternés. Ces simulations, qui utilisent la Méthode aux Eléments Discrets (MED), mettent en relief le rôle concomitant de l'indice des vides et de l'anisotropie de structure dans le comportement de ces échantillons. Aussi, l'indice des vides et l'anisotropie de structure ont-ils été choisis comme variables pour décrire le comportement de l'état interne du matériau. Par la suite, un modèle élastoplastique de sols, CJS, a été utilisé pour étudier l'évolution du matériau à l'échelle de l'échantillon. Ce travail montre le chemin complexe suivi par certaines variables ou paramètres de modèle impliqués dans CJS au cours de ces simulations. Les simulations ont établi que ces paramètres de modèle, généralement des constantes dans CJS, doivent être modifiés selon la valeur des deux variables internes identifiées afin d'obtenir une description plus fine du comportement des matériaux granulaires sur des chemins de contraintes complexes.

Numerical simulations on samples composed of rigid spheres have been performed to study the behaviour of granular materials under complex stress paths involving peculiar triaxial monotonous stress paths and two-way cycling loading paths. These simulations using the Discrete Element Method (DEM), pointed out the concomitant role played by the void ratio and the anisotropy of fabric in the behaviour of these samples. Thus, the void ratio and the anisotropy of fabric have been chosen as internal variables for the description of the internal state of the material. An elastic-plastic model for soils, CJS, has been used to study the evolution of the material at the global scale. This work shows the complex path followed by some variables or key parameters involved in this model throughout simulations. Moreover, the parameters that are usually taken as constants in the CJS model definitely need to evolve with respect to the two internal variables in order to provide a precise prediction of the behaviour of granular materials throughout complex loadings.

Publié le : 2010-10-01

DOI : 10.1016/j.crme.2010.10.002

Keywords: Granular media, DEM, Anisotropy, Characteristic state, Cycle, Hardening
Mot clés : Milieux granulaires, MED, Anisotropie, État caractéristique, Cycle, Écrouissage

Affiliations des auteurs :

Eric Vincens ¹ ; Yuhanis Yunus ¹ ; Bernard Cambou ¹

¹ Université de Lyon, LTDS, UMR CNRS 5513, École centrale de Lyon, 36, avenue Guy-de-Collongue, 69134 Écully cedex, France

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     title = {Modelling of volume change in granular materials in relation to their internal state},
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Eric Vincens; Yuhanis Yunus; Bernard Cambou. Modelling of volume change in granular materials in relation to their internal state. Comptes Rendus. Mécanique, Volume 338 (2010) no. 10-11, pp. 615-626. doi : 10.1016/j.crme.2010.10.002. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2010.10.002/

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