Abstract

A mechanical model has been presented for analysis of plates resting on extensible geosynthetic reinforced granular fill lying on soft soil improved by stone columns. Foundation has been idealised as a plate and geosynthetic layer as rough elastic membrane. Granular fill, soft soil and stone columns has been idealised respectively as Pasternak shear layer, Kelvin–Voigt elements and Winkler springs and their nonlinear behaviour has been considered. Deformation compatibility condition at interface of geosynthetic and granular fill has been considered. An iterative finite difference scheme with proper boundary conditions has been used to solve governing differential equations and the system of simultaneous equations so obtained, have been solved using LU decomposition method. Response of plate in terms of deflection and bending moment and tension mobilized in geosynthetic has been presented in non-dimensional form. Influence of type of geosynthetic (extensible and inextensible) in reducing the settlements in conjunction with stone columns has been presented and the significance of each parameter influencing the plate response has been studied by means of detailed parametric study.

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