Mixed boundary value problems for Rayleigh wave in a half‐plane with cubic anisotropy

Abstract

The paper deals with mixed boundary value problems in an elastic half‐plane with cubic symmetry. The formulation of the problem depends on an asymptotic model derived for anisotropic materials. It is demonstrated that defining the displacements in terms of a pair of plane harmonic functions reduces the problem to a classical isotropic form, which can be formulated within the framework of the asymptotic hyperbolic–elliptic model developed for isotropic materials. As an example, a semi‐infinite rigid stamp moving at a constant speed along the surface is considered.