On dispersion of nonstationary surface waves in anisotropic elastic media
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 35, Tome 332 (2006), pp. 299-312
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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.
@article{ZNSL_2006_332_a17,
author = {Z. A. Yanson},
title = {On dispersion of nonstationary surface waves in anisotropic elastic media},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {299--312},
publisher = {mathdoc},
volume = {332},
year = {2006},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2006_332_a17/}
}
Z. A. Yanson. On dispersion of nonstationary surface waves in anisotropic elastic media. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 35, Tome 332 (2006), pp. 299-312. http://geodesic.mathdoc.fr/item/ZNSL_2006_332_a17/