This thesis deals with surface wave propagation in elastic solids. It develops further the
methodology of asymptotic hyperbolic-elliptic models for the surface elastic waves, aiming at
two main areas, namely, accounting for the effects of a thin coating layer, as well as
incorporating the influence of gravity. The derived model for surface waves on a coated
elastic half space subject to prescribed surface stresses reflects the physical nature of elastic
surface waves, for which the decay over the interior is described by a" pseudo-static" elliptic …