Abstract
The physical characteristics of the surface of nonstationary SV Rayleigh waves are studied and formulas are obtained for the phase and group velocities (as functions of time and the observation point on the surface) of the Rayleigh waves. These formulas are in accord with the familiar formulas for the phase and group velocities in the stationary case.
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Literature cited
Z. A. Yanson, “Nonstationary Rayleigh waves near the surface of an inhomogeneous elastic body,” J. Sov. Math.,6, No. 5 (1976).
I. V. Mukhina and I. A. Molotkov, “Propagation of Rayleigh waves in an inhomogeneous half-space,” Izv. Akad. Nauk SSSR, Fiz. Zemli, No. 4, 3–8 (1967).
P. V. Krauklis and N. V. Tsepelev, “Construction of the high-frequency asymptotic of a wave field concentrated near the boundary of an elastic medium,” J. Sov. Math.,6, No. 5 (1976).
V. M. Babich, “The space-time ray method in the theory of elastic waves,” Izv. Akad. Nauk SSSR, Fiz. Zemli, No. 2, 3–13 (1979).
Yu. A. Kravtsov and Yu. I. Orlov, Geometrical Optics of Inhomogeneous Media [in Russian], Nauka, Moscow (1980).
Additional information
Translated from Zapiski Nauchnykh Seminarov Leningradzkogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova, AN SSSR, Vol. 173, pp. 172–179, 1988.
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Yanson, Z.A. Dispersion properties of nonstationary SV Rayleigh waves near the surface of an inhomogeneous elastic body. J Math Sci 55, 1770–1776 (1991). https://doi.org/10.1007/BF01098219
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DOI: https://doi.org/10.1007/BF01098219