Supersonic responses induced by point load moving steadily on an anisotropic half-plane

Supersonic responses of an anisotropic half-plane solid induced by a point load moving steadily on the half-plane boundary are investigated. Analytic expressions for the responses of the displacements and stresses for field points either inside or on the surface of the half-plane solid are given for general anisotropic materials. For the special cases of monoclinic materials with symmetry plane at $x_3=0$ and orthotropic materials, the supersonic as well as subsonic responses of the displacements and stresses are further expressed explicitly in terms of elastic stiffnesses. Responses for the case of isotropic materials known in the literature are recoverable from present results.