Abstract
This paper presents a study of the interaction of embedded flexible inclusions with a multi-layered semi-infinite elastic medium. An infinite boundary element technique is used to model the layered half-space, and employs a decay function representation of the far-field displacements at the free surface and the layer interfaces. The integrals over the far-field are evaluated analytically, resulting in an algorithm which permits rapid computation of the system of equations. A substructuring technique is employed to eliminate the interface quantities. Particular attention is necessary to deal with the edge and corner tractions and a novel method of developing the auxiliary equations necessary for this purpose is described in some detail. Some non-trivial numerical examples are presented to illustrate the application of the algorithm to some typical problems, i.e. piled foundations, in geomechanics.
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