Micromechanics of Unsaturated Granular Media
Publication: Journal of Engineering Mechanics
Volume 128, Issue 8
Abstract
The homogenization method is used to study the properties of the strength criterion of a granular material in the dry, saturated, and unsaturated situations. Adopting a periodic description of the granular material at the microscopic level, the main features of the up-scaling technique are recalled. Then, a general definition of the strength criterion at the macroscopic scale is given in the framework of yield design homogenization theory. This approach makes it possible to find again classical properties of the strength criterion as a function of the properties of the granular material at the microscopic level. Furthermore, some experiments are presented in order to assess the accuracy of the model used to describe the unsaturated granular medium at the microscopic level.
Get full access to this article
View all available purchase options and get full access to this article.
References
Auriault, J., and Sanchez-Palencia, E.(1977). “Etude du comportement macroscopique d’un milieu poreux saturé déformable.” J. Mécanique, 16(4), 575–603 (in French).
Biarez, J., Fleureau, J. M., Indarto, Taibi, S., and Zerhouni, M. I. (1989). “Influence of water negative pore pressure on the flow of granular materials in silos.” Powders and grains, Biarez and Gourvès, eds., Balkema, Rotterdam, The Netherlands, 385–392.
Bourada-Benyamina, N. (1999). “Etude du comportement des milieux granulaires par homogénéisation périodique.” Thèse de Doctorat, E.N.P.C., Marne la Vallée (in French).
Caillerie, D. (1995). “Evolution quasistatique d’un milieu granulaire, loi incrémentale par homogénéisation.” Des géomatériaux aux ouvrages—expérimentations et modélisations, G. Petit, and J. Reynouard, eds., Hermes, Paris, 53–80 (in French).
Cambou, B., Chaze, M., and Dedecker, F.(2000). “Change of scale in granular materials.” Eur. J. Mech. A/Solids, 19, 999–1014.
Cambou, B., and Sidoroff, F.(1985). “Description de l’état d’un matériau granulaire par variables internes statiques à partir d’une approche discrète.” J.M.T.A., 4(2), 223–242 (in French).
Chateau, X., and Dormieux, L.(1995). “Homogénéisation d’un milieu poreux non saturé: lemme de Hill et applications.” C. R. Acad. Sci., Ser. IIb: Mec., Phys., Chim., Astron., 320, 627–634 (in French with an English abridged version).
Christofferson, J., Mehrabadi, M. M., and Nasser, S. N.(1981). “A micromechanical description of granular material behavior.” J. Appl. Mech., 48, 339–344.
de Buhan, P. (1986). “Approche fondamentale du calcul à la rupture des ouvrages en sols renforcés.” Thèse de Doctorat ès Sc., Université P. et M. Curie, Paris (in French).
de Buhan, P., and Dormieux, L.(1996). “On the validity of the effective stress concept for assessing the strength of satured porous materials: a homogenization approach.” J. Mech. Phys. Solids, 44(10), 1649–1667.
Drescher, A., and de Josselin de Jong, G.(1972). “Photoelastic verification of a mechanical model for the flow of a granular material.” J. Mech. Phys. Solids, 20, 337–351.
Emeriault, F., and Cambou, B.(1996). “Micromechanical modelling of anisotropic non-linear elasticity of granular medium.” Int. J. Solids Struct., 33(18), 2591–2607.
Fredlund, D. G., and Rahardjo, H. (1993). Soils mechanics for unsatur-ated soils. Wiley, New York.
Hicher, P. Y., and Rahma, A.(1994). “Micro-macro correlations for granular media. Application to the modelling of sand.” Eur. J. Mech. A/Solids, 13(6), 763–781.
Marshall, T., and Holmes, J. (1988). Soil physics, 2nd Ed., Cambridge Univ. Press, Cambridge, U.K.
Pitois, O. (1999). “Assemblées de grains lubrifiés: Elaboration d’un système modèle expérimental et étude de la loi de contact.” Thèse de Doctorat, E.N.P.C., Marne la Vallée (in French).
Pitois, O., Moucheront, P., and Chateau, X.(2000). “Liquid bridge between two moving spheres: an experimental study of viscosity effects.” J. Colloid Interface Sci., 231, 26–31.
Sab, K.(1996). “Déformations microscopiques et macroscopiques dans un assemblage dense de particules rigides.” C. R. Acad. Sci., Ser. IIb: Mec., Phys., Chim., Astron., 322, 715–721 (in French with an English abridged version).
Salençon, J.(1990). “An introduction to the yield design theory and its applications to soil mechanics.” Eur. J. Mech. A/Solids, 9(5), 477–500.
Suquet, P. (1982). “Plasticité et homogénéisation.” Thèse de Doctorat ès Sc., Université P. et M. Curie, Paris (in French).
Urso, M. E. D., Lawrence, C. J., and Adams, M. J.(1999). “Pendular, funicular, and capillary bridges: Results for two dimensions.” J. Colloid Interface Sci., 220, 42–56.
Weber, J.(1966). “Recherche concernant les contraintes intergranulaires dans les milieux pulvérulents.” Bulletin de liaison des ponts et chaussées, 20, 1–20 (in French).
Zhuang, X., Didwania, A. K., and Goddard, J. D.(1995). “Simulation of the quasi-static mechanics and scalar transport properties of ideal granular assemblages.” J. Comp. Physiol., 121, 331–346.
Information & Authors
Information
Published In
Copyright
Copyright © 2002 American Society of Civil Engineers.
History
Received: Mar 25, 2002
Accepted: Apr 1, 2002
Published online: Jul 15, 2002
Published in print: Aug 2002
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.