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Zapiski Nauchnykh Seminarov POMI, 2009, Volume 369, Pages 48–63
(Mi znsl3520)
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This article is cited in 4 scientific papers (total in 4 papers)
On the velocity of the Rayleigh wave propagating along curvilinear surfaces
N. Ya. Kirpichnikova, L. A. Molotkov St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences, St. Petersburg, Russia
Abstract:
In order to investigate propagation of the Rayleigh waves on curvilinear boundaries, we consider wave propagation along cylindrical and spherical surfaces. For the elastic media with the indicated boundaries, we construct exact solutions of equations of the theory of elasticity and use asymptotics of Hankel and Legendre functions. On the basis of comparison of results, we make assumption about dependence of velocity of the Rayleigh wave on the small curvature of route and on the small curvature in perpendicular direction. Bibl. – 7 titles.
Key words and phrases:
Ray leigh wave, curvilinear, surfaces, exact solutions, asymptotics, correction for curvature.
Received: 20.10.2009
Citation:
N. Ya. Kirpichnikova, L. A. Molotkov, “On the velocity of the Rayleigh wave propagating along curvilinear surfaces”, Mathematical problems in the theory of wave propagation. Part 38, Zap. Nauchn. Sem. POMI, 369, POMI, St. Petersburg, 2009, 48–63; J. Math. Sci. (N. Y.), 167:5 (2010), 622–631
Linking options:
https://www.mathnet.ru/eng/znsl3520 https://www.mathnet.ru/eng/znsl/v369/p48
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Abstract page: | 255 | Full-text PDF : | 82 | References: | 45 |
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