Response of three-dimensional partially saturated layered half-space to the transient loading

Based on the fundamental equations of elastodynamic and Blot's consolidation theory, the response of partially saturated layered half-space to the axisymmetric transient loading acting on the surface are derived from the linear differential equations by a direct method, in which the Laplace-Hankel mixed transforms and transfer matrix method are employed in this paper. The time-domain solutions of stress and deformation are obtained by the presented method, moreover, the pore water pressure at the saturated underlying half-space are also studied. It shows the potential application to solve dynamic problem of multi-layered foundation.