Rayleigh Wave Propagation on Anisotropic (Cubic) Media

Abstract

The essential features of surface-wave propagation for elastic waves on anisotropic media are delineated by consideration of the solution for cubic crystals. In using the coordinate system defined by the surface and the direction normal to it, transformation of the elastic coefficient tensor is required. Conventional means for doing this can be prohibitively laborious; but by invoking the isotropy condition, the calculation becomes quite amenable. Detailed elaboration is given for propagation in the (100) and (110) planes. The set of relations from which the damping coefficient and the Rayleigh wave velocity can be evaluated is derived.