Dynamic analysis of a vertically loaded rigid disc in a transversely isotropic multilayered half-space

Abstract

This paper focuses on the investigation of the response of a vertically loaded rigid circular disc embedded in a transversely isotropic multilayered half-space. The solutions for this dynamic interaction problem are obtained by utilizing the boundary element method, which takes the analytical layer-element solution of the transversely isotropic multilayered half-space subjected to an interior ring time-harmonic loading as the fundamental solution. The accuracy of present solutions is verified by the comparisons with existing solutions. In addition, selected numerical results are presented to illustrate the influence of embedded depth, frequency of excitation, material anisotropy and layering of the embedding medium on vertical impedance and resultant contact stresses.