| Abstract: | In this paper, the study of the high-frequency Love waves (simular to the well-known transverse waves of theSH type) near the surface of an anisotropic elastic body is continued. The formulation of the boundary-value problem, independent
of a specific form of the elasticity tensor, provides the possibility of developing a kinematic approach, which is essential
for constructing the asymptotics of these high-frequency waves. To this end, an algorithm is proposed that allows one to relate
the transversality of the polarization of surface waves to the directions of their propagation on the surface and to obtain
the conditions necessary for the origination of such waves. The algorithm suggested makes it possible to indicate those types
of symmetry of media (special cases of anisotropy) for which the directions obtained correspond to the field of rays of Love
waves. In these cases, the space-time ray method provides a mathematical tool for constructing uniform asymptotics of the
surface waves in question. Bibliography: 8 titles.
Translated fromZapiski Nauchnykh Seminarov POMI, Vol 218, 1994, pp. 206–219.
This work was supported by the Russian Foundation of Fundamental Research (Grant 93-011-16148).
Translated by Z. A. Yanson. |
