This paper presents a micromechanical study of unsaturated granular media in
the pendular regime, based upon numerical experiments using the discrete
element method, compared to a microstructural elastoplastic model. Water
effects are taken into account by adding capillary menisci at contacts and
their consequences in terms of force and water volume are studied. Simulations
of triaxial compression tests are used to investigate both macro and
micro-effects of a partial saturation. The results provided by the two methods
appear to be in good agreement, reproducing the major trends of a partially
saturated granular assembly, such as the increase in the shear strength and the
hardening with suction. Moreover, a capillary stress tensor is exhibited from
capillary forces by using homogenisation techniques. Both macroscopic and
microscopic considerations emphasize an induced anisotropy of the capillary
stress tensor in relation with the pore fluid distribution inside the material.
In so far as the tensorial nature of this fluid fabric implies shear effects on
the solid phase associated with suction, a comparison has been made with the
standard equivalent pore pressure assumption. It is shown that water effects
induce microstrural phenomena that cannot be considered at the macro level,
particularly when dealing with material history. Thus, the study points out
that unsaturated soil stress definitions should include, besides the
macroscopic stresses such as the total stress, the microscopic interparticle
stresses such as the ones resulting from capillary forces, in order to
interpret more precisely the implications of the pore fluid on the mechanical
behaviour of granular materials.Comment: 39 page
Article first published online: 30 DEC 2011International audienceIn this article, we present a numerical method to deal with fluid-solid interactions and simulate particle-fluid systems as encountered in soils. This method is based on a coupling between two methods, now widely used in mechanics of granular media and fluid dynamics respectively: the discrete element (DE) method and the lattice Boltzmann (LB) method. The DE method is employed to model interactions between particles, whereas the LB method is used to describe an interstitial Newtonian fluid flow. The coupling presented here is a full one in the sense that particle motions act on fluid flow and reciprocally. This article presents in details each of the two methods and the principle of the coupling scheme. Determination of hydrodynamic forces and torques is also detailed, and the treatment of boundaries is explained. The coupled method is finally illustrated on a simple example of piping erosion, which puts in evidence that the combined LB-DE scheme constitutes a promising tool to study coupled problems in geomechanics
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