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Zapiski Nauchnykh Seminarov POMI, 2006, Volume 332, Pages 299–312
(Mi znsl275)
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This article is cited in 1 scientific paper (total in 1 paper)
On dispersion of nonstationary surface waves in anisotropic elastic media
Z. A. Yanson St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Abstract:
The whispering gallery modes propagating along the surface of anisotropic
elastic body, with the use of space-time caustic expansions and space-time ray
series are investigated. A separate nonstationary mode is interpreted as a wave
packet formed by almost harmonic waves. On the boundary surface the asymptotic
expressions for the group velocity (as function of time and coordinates) are
deduced, which are in agreement with analogous formulas for Rayleigh waves of
$SV$ type in isotropic case.
Received: 20.06.2006
Citation:
Z. A. Yanson, “On dispersion of nonstationary surface waves in anisotropic elastic media”, Mathematical problems in the theory of wave propagation. Part 35, Zap. Nauchn. Sem. POMI, 332, POMI, St. Petersburg, 2006, 299–312; J. Math. Sci. (N. Y.), 142:6 (2007), 2689–2696
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https://www.mathnet.ru/eng/znsl275 https://www.mathnet.ru/eng/znsl/v332/p299
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Abstract page: | 177 | Full-text PDF : | 57 | References: | 24 |
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