International audienceThe macroscopic strength properties of a purely cohesive soil reinforced by a periodic distribution of "stone columns" made of a highly frictional granular material are investigated in a rigorous way on the basis of the yield design homogenization approach. Starting from a first crude lower bound approximation to the macroscopic strength criterion of the stone column reinforced soil, a much more accurate failure surface is then drawn in the space of stresses as a result of a series of numerical elastoplastic simulations performed on the reinforced soil unit cell subject to radial strain controlled loading paths. The anisotropic characteristics of the so obtained original criterion are then highlighted by means of its representation in the Mohr plane attached to any oriented facet. The paper concludes with a first illustrative implementation of the method on the derivation of an upper bound estimate for the ultimate bearing capacity of a stone column reinforced foundation
International audienceThe macroscopic strength properties of reinforced soils, regarded as periodic composite materials, are investigated by means of a fem-based formulation of both the static and kinematic approaches of yield design applied to the reinforced soil's unit cell. Since the reinforced soil's individual constituents obey a 3D Mohr-Coulomb strength condition, such a numerical problem can be treated trough an optimization procedure using semidefinite programming. The whole numerical procedure is applied to the derivation of both lower bound and upper bound estimates to the macroscopic yield surface of a soil reinforced either by columnar inclusions (stone columns) or a double array of trenches (cross trench reinforcement). The so-obtained results highlight the efficiency of the proposed numerical method
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