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The present study involved the development of a mechanical model to study the behaviour of extensible-geosynthetic-reinforced granular fill resting on stone-column-improved soft soil. The stone column, geosynthetic layer, soft soil and granular fill were idealised by stiffer Winkler springs, rough elastic membrane, Kelvin–Voight model and Pasternak shear layer, respectively. Plane strain conditions were considered in the analysis. An iterative finite difference procedure was applied to obtain the solutions and the results are presented in non-dimensional form. The results indicate that inclusion of the geosynthetic layer (inextensible or extensible) effectively reduced the total as well as the differential settlement. However, the use of inextensible geosynthetic reinforcement was more effective than extensible geosynthetic reinforcement to reduce settlement and increase the stress concentration ratio.

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