Interaction between a semi-cylindrical hill and a shallow buried fixed rigid cylindrical inclusion under SH wave

Abstract

This paper analyses the interaction between a semi-cylindrical hill and a shallow buried fixed rigid cylindrical inclusion under SH wave. The whole calculation model includes two regions. Firstly the displacement solutions that satisfy the boundary conditions in two regions are constructed by the complex variable method. Then a set of infinite algebraic equations for the problem can be obtained by the boundary condition of the fixed rigid inclusion and that of the public boundary of two regions. And to illustrate the interaction between the semi-cylindrical hill and the shallow buried fixed rigid cylindrical inclusion, the variation of both the surface displacements of the hill and the dynamic response of the inclusion with different parameters are provided. The numerical results show that the existence of fixed rigid inclusion significantly reduces the displacement amplitude of the semi-cylindrical hill.