Wave generation in an elastic half-space by a normal point load moving uniformly over the free surface

Abstract

The motion is determined of an elastic, homogeneous and isotropic half-space, excited by a normal point load traveling uniformly over the free surface. Using the differential transform technique [9], exact, closed expressions in terms of algebraic functions are found for the displacements at any point of the half-space. The displacements appear as a superposition of a primary wave, i.e. The wave that would exist if the medium were unbounded, and a secondary wave accounts for the presence of the boundary. The primary wave has previously been given by Eason, Fulton and Sneddon.