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An approximate analytical solution for calculating ground surface settlements due to diaphragm walling
Affiliation:1. Key Laboratory of Geomechanics and Embankment Engineering of the Ministry of Education, Geotechnical Research Institute, Hohai University, 1 Xikang Road, Nanjing 210098, China;2. Department of Civil and Environmental Engineering, The Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong Special Administrative Region, China;1. Department of Civil Engineering, Université des Frères Mentouri -Constantine 1-, Constantine 25000, Algeria;2. Laboratory of Mechanical Engineering (LGM), Université de Biskra, Biskra 07000, Algeria;1. Department of Applied Mathematics and Computer Sciences, Moscow State University of Civil Engineering, 26, Yaroslavskoe Sh., Moscow, 129337, Russia;2. Fasa University, Daneshjou blvd, Fasa, Fars Province, Iran;1. College of Computer Science, Chongqing University, Chongqing 400030, China;2. Faculty of Science and Technology, University of Macau, Macau, China
Abstract:This paper focuses on the derivation of an approximate analytical solution to predict ground surface settlements along the centre-line perpendicular to a slurry-supported diaphragm wall panel. An analytical model of trench excavation is constructed by applying linearly-distributed total earth pressure changes on the sidewalls and the base of the trench in a homogeneous, isotropic, elastic half-space. By applying the principle of superposition appropriately, an explicit solution to calculate ground surface settlements is derived by integrating Mindlin’s displacement formulae. The validity of the solution is verified by three-dimensional finite-element analyses and case studies. Based on the results obtained from a parametric study using the newly derived solution, an algebraic formula is obtained as a first approximation for calculating ground surface settlements.
Keywords:Trenches  Excavation  Elasticity  Ground surface settlements
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