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An elastoplastic homogenization procedure for predicting the settlement of a foundation on a soil reinforced by columns
Institution:1. Laboratory of Civil Engineering (LGC), Ecole Nationale d''Ingénieurs de Tunis, Tunis, Tunisia;2. LMSGC (LCPC, ENPC, CNRS, UMR 113), Ecole Nationale des Ponts et Chaussées, Champs/Marne, France;1. Department of Civil Engineering, Tamkang University, Tamsui, Taipei 25137, Taiwan, ROC;2. Water Resources Bureau, Kaohsiung City Government, 80203, Taiwan, ROC;1. Department of Geotechnical Engineering, School of Civil Engineering, Tongji University, 1239 Siping Road, Shanghai 200092, China;2. Geotechnical and Hydrogeological Engineering Research Group (GHERG), Federation University Australia, Victoria 3842, Australia;3. Wuhan Guangyi Transportation Science and Technology Co., Ltd, Wuhan 430074, China;1. Department of Civil Engineering, Indian Institute of Technology Kharagpur, Kharagpur 721 302, India;2. Department of Civil Engineering, Indian Institute of Technology Guwahati, Guwahati 781 039, India;1. Civil Engineering Department, K.N. Toosi University of Technology, Tehran, Iran;2. Department of Civil Engineering, Shahr-e-Qods Branch, Islamic Azad University (IAU), Tehran, Iran
Abstract:This paper presents an elastoplastic homogenization method applied to a soil reinforced by regularly distributed columns. According to this method, the composite reinforced soil is regarded, from a macroscopic point of view, as a homogeneous anisotropic continuous medium, the elastic as well as plastic properties of which can be obtained from the solution to an auxiliary problem attached to the reinforced soil representative cell. Based upon an approximate solution to this problem, in which piecewise constant stress fields are used, the homogenized behavior of the reinforced soil subject to vertical oedometric conditions is investigated. A first application to the evaluation of the settlement of a reinforced soil foundation is then presented, taking into account the initial stress field generated by the reinforced soil own weight. A particular emphasis is put on the situation of a purely cohesive soft clay reinforced by purely frictional inclusions (“stone column” reinforcement technique), for which a simplified calculation procedure, in which the soil remains elastic, is proposed, leading to an analytical closed-form expression for the load–settlement curve.
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