Dynamic response of a half-space with a depression covered by viscous liquid under SH waves

Abstract

This study examines the problem of the displacement amplitude at the interface of an elastic half-space with a semicircular depression covered by a viscous liquid under the action of shear horizontal (SH) waves. First, the half-space incident wave field is constructed. Simultaneously, the scattering displacement field of the problem is obtained using the large circle and complex variable function methods. Thereafter, based on the boundary conditions at the fluid-solid interface, an infinite linear algebraic equation is established to obtain the unknown coefficients of the wave function. Finally, the changes in the interface displacement amplitude caused by SH wave scattering are obtained. Numerical examples reveal that the thickness, dynamic viscous coefficient, density of the viscous liquid, and incident wave frequency all affect the displacement amplitude at the interface. This paper also presents valuable conclusions that are expected to help guide the study of engineering structures with recessed half-spaces covered by viscous liquids.