Comptes Rendus
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.

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.

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.

Published online:
DOI: 10.1016/j.crme.2010.10.003
Keywords: Granular media, Micromechanics, Erosion, Failure
Mot clés : Milieux granulaires, Micromécanique, Érosion, Rupture

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
     author = {Luc Scholt\`es and Pierre-Yves Hicher and Luc Sibille},
     title = {Multiscale approaches to describe mechanical responses induced by particle removal in granular materials},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {627--638},
     publisher = {Elsevier},
     volume = {338},
     number = {10-11},
     year = {2010},
     doi = {10.1016/j.crme.2010.10.003},
     language = {en},
AU  - Luc Scholtès
AU  - Pierre-Yves Hicher
AU  - Luc Sibille
TI  - Multiscale approaches to describe mechanical responses induced by particle removal in granular materials
JO  - Comptes Rendus. Mécanique
PY  - 2010
SP  - 627
EP  - 638
VL  - 338
IS  - 10-11
PB  - Elsevier
DO  - 10.1016/j.crme.2010.10.003
LA  - en
ID  - CRMECA_2010__338_10-11_627_0
ER  - 
%0 Journal Article
%A Luc Scholtès
%A Pierre-Yves Hicher
%A Luc Sibille
%T Multiscale approaches to describe mechanical responses induced by particle removal in granular materials
%J Comptes Rendus. Mécanique
%D 2010
%P 627-638
%V 338
%N 10-11
%I Elsevier
%R 10.1016/j.crme.2010.10.003
%G en
%F CRMECA_2010__338_10-11_627_0
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.

[1] C.F. Wan, R. Fell, Experimental investigation of internal instability of soils in embankment dams and their foundations, UNICIV Rep. No. R 429, The Univ. of New South Wales, Sydney, 2004.

[2] T.C. Kenney; D. Lau Internal stability of granular filters, Canad. Geotech. J., Volume 22 (1985) no. 2, pp. 215-225

[3] E. Papamichos; I. Vardoulakis; J. Tronvoll; A. Skjaerstein Volumetric sand production model and experiment, Int. J. Num. Anal. Meth. Geomech., Volume 25 (2001), pp. 789-808

[4] D. Sterpi Effects of the erosion and transport of fine particles due to seepage flow, Int. J. Geomech. ASCE, Volume 3 (2003) no. 1, pp. 111-122

[5] D. Muir-Wood, K. Maeda, E. Nukudani, Discrete element modelling of soil erosion, in: Proc. 4th Int. Conf. on Scour and Erosion, vol. 29 (1), The Japanese Geotechnical Society, Tokyo, November 2008, pp. 47–65.

[6] D. Muir-Wood; K. Maeda Changing grading of soils: effect on critical states, Acta Geotechnica, Volume 3 (2008) no. 3, pp. 3-14

[7] P.A. Cundall; O.D.L. Strack A discrete numerical model for granular assemblies, Géotechnique, Volume 29 (1979) no. 1, pp. 47-65

[8] C.S. Chang; P.-Y. Hicher An elastoplastic model for granular materials with analytical consideration, Int. J. Solids Struct., Volume 42 (2005) no. 12, pp. 4258-4277

[9] J. Kozicki; F.V. Donze A new open-source software using a discrete element method to simulate granular material, Comput. Methods Appl. Mech. Engrg., Volume 197 (2008), pp. 4429-4443

[10] C. Voivret; F. Radjai; J.-Y. Delenne; M.S. El Youssoufi Multiscale force networks in highly polydisperse granular media, Phys. Rev. Lett., Volume 102 (2009) no. 17, p. 178001

[11] L. Sibille, L. Scholtès, Effects of internal erosion on mechanical behavior of soils: a DEM approach, in: E. Õnate, D.R.J. Owen (Eds.), Proc. Int. Conf. on Particle-Based Methods, Particles 2009, Barcelona, 25–27 November 2009, pp. 167–170.

[12] L. Staron; F. Radjaï; J.-P. Vilotte Multi-scale analysis of the stress state in a granular slope in transition to failure, Eur. Phys. J. E, Volume 18 (2005), pp. 311-320

[13] J.J. Moreau Numerical investigation of shear zones in granular materials, Friction, Arching, Contact Dynamics, World Scientific, Singapore, 1997, pp. 233-247

[14] A. Casagrande Characteristics of cohesionless soils affecting the stability of slopes and earth fills, J. Boston Soc. Civil Engineers, Volume 23 (1936), pp. 257-276

[15] M. Oda Co-ordination number and its relation to shear strength of granular material, Soils and Foundations, Volume 17 (1977) no. 2, pp. 29-42

[16] P.-Y. Hicher; C.S. Chang Anisotropic nonlinear elastic model for particulate materials, J. Geotech. Geoenvir. Engrg., Volume 132 (2006) no. 8, pp. 1052-1061

Cited by Sources:

Comments - Policy