Multiscale approaches to describe mechanical responses induced by particle removal in granular materials

Luc Scholtès; Pierre-Yves Hicher; Luc Sibille

doi:10.1016/j.crme.2010.10.003

Multiscale approaches to describe mechanical responses induced by particle removal in granular materials
[Étude par approches multi-échelles de la réponse mécanique d'un milieu granulaire induite par l'extraction de ses particules]

Luc Scholtès ^1,² ; Pierre-Yves Hicher ² ; Luc Sibille ²

¹ CSIRO – Earth Science & Resource Engineering, QCAT, 1 Technology Court, Pullenvale, QLD, 4069, Australia
² GeM Laboratory, University of Nantes, ECN, CNRS, BP 92101, 44321 Nantes cedex 3, France

Comptes Rendus. Mécanique, Volume 338 (2010) no. 10-11, pp. 627-638.

Résumé
Abstract

Une approche multi-échelle est proposée dans le but d'étudier les effets de l'érosion interne sur les propriétés mécaniques d'un milieu granulaire. Dans cette première analyse, la dégradation d'un assemblage granulaire est simulée par la suppression progressive de ses particules les plus fines pour différents états de contrainte, isotropes et anisotropes. Un modèle aux élements discrets ainsi qu'un modèle micromécanique analytique sont utilisés dans le but de comparer les déformations et les modifications induites sur le milieu. La resistance au cisaillement et les propriétés d'écoulement du matériau semblent être significativement modifiées par un tel processus d'extraction : les deux modèles sont unanimes pour mettre en évidence le passage d'un comportement dilatant à un comportement contractant du matériau avec sa dégradation, ainsi q'une dépendance critique de sa stabilité globale selon le niveau du frottement mobilisé auquel l'extraction de ses particules solides est réalisée. En particulier, les resultats montrent une tendance à l'effondrement lorsque l'extraction intervient pour des frottements mobilisés supérieurs à celui atteint à l'état critique.

A multi-scale approach is proposed as an attempt to assess internal erosion induced effects on the mechanical properties of a granular medium. When submitted to internal flow, some particles tend to be removed from the initial granular material, leading to drastic changes in the microstructure. The medium is changing during its lifetime and this cannot be ignored in attempts to model its mechanical behavior. In this first analysis, the degradation of a granular assembly is simulated through the progressive removal of its finest particles for both isotropic and anisotropic stress states. A discrete element model as well as an analytical micromechanical model are used to compare induced deformations and properties changes along the erosion process. The shear strength and flow properties appear to be strongly modified by this extraction phase: both models highlight a change from a dilatant to a contractant behavior with the degradation as well as strong dependency of the overall stability on the mobilized friction level. In particular, results show how failure is triggered when particle removal occurs for mobilized frictions greater than the one reached at the critical state.

Publié le : 2010-10-01

DOI : 10.1016/j.crme.2010.10.003

Keywords: Granular media, Micromechanics, Erosion, Failure
Mot clés : Milieux granulaires, Micromécanique, Érosion, Rupture

Affiliations des auteurs :

Luc Scholtès ^{1, 2} ; Pierre-Yves Hicher ² ; Luc Sibille ²

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     doi = {10.1016/j.crme.2010.10.003},
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Luc Scholtès; Pierre-Yves Hicher; Luc Sibille. Multiscale approaches to describe mechanical responses induced by particle removal in granular materials. Comptes Rendus. Mécanique, Volume 338 (2010) no. 10-11, pp. 627-638. doi : 10.1016/j.crme.2010.10.003. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2010.10.003/

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