The dynamics of an elastic half-space under the action of a moving load

Fundamental solutions of a problem in the theory of elasticity are constructed for a half-space under the action of a load moving at constant velocity which does not change with time in a moving system of coordinates. On the basis of these solutions, the displacements of the medium are determined in the case of a load which moves along a cylindrical surface in the medium itself or over its boundary surface. Subsonic, transonic and supersonic cases are considered.