| Abstract: | The asymptotics of high-frequency surface waves in elastic media is studied for a special case of anisotropy, namely, for
transversely isotropic media (where the parameters of elasticity are invariant with respect to rotations about one of the
coordinate axes). In the zeroth asymptotic approximation, the slow Rayleigh waves (of SV type) under study are polarized in
the plane of the normal section of the surface. The principal term of the asymptotics (which has the form of a space-time
(caustic) expansion) is found, and calculations related to the necessity of introducing two additional faster waves with complex
eikonals are carried out. The conditions on the elasticity parameters of the medium that insure the origination of the surface
waves in question are obtained. Due to the specific structure of the elasticity tensor under consideration, the boundary of
the medium is necesarily plane. For appropriate values of elastic parameters, the resulting formulas coincide with the corresponding
expressions in the isotropic case. Bibliography: 8 titles.
Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 230, 1995, pp. 278–293.
Translated by Z. A. Yanson |
