Abstract Excavation always induces a certain degree of ground settlement. Using separation of variable methods (SVM) to solve partial differential equations of plain strain problem,in which the movements of retaining wall are assumed as the given displacement boundary. The present theoretical solution is attempted to show the relation between the wall movement and the induced ground settlement. Firstly,the solutions to the induced ground settlement are given for two basic cases,i.e. wall translation and rotation about toe. The two other solutions to rotation about top and triangle-bugling movement can be available based on two basic solutions. The translation of wall tends to cause a spandrel-type settlement profile in which maximum surface settlement occurs at the position close to the wall back. The rotation of wall about toe causes a concave-type settlement profile,in which maximum surface settlement occurs at some position away from the wall back. The present curve of surface settlement agrees with that by the classical empirical methods. Finally,comparisons between the present method and elasto-plastic FEM and in-situ measured data in soft soils,have illustrated the validity of this analytical solution.
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Received: 19 August 2012
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