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On the velocity of the Rayleigh wave propagation along curvilinear surfaces

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To investigate the propagation of Rayleigh waves on curvilinear boundaries, wave propagation along cylindrical and spherical surfaces is considered. For elastic media with indicated boundaries, exact solutions of equations of elasticity theory are constructed and the asymptotics of Hankel and Legendre functions are used. On the basis of the results obtained, a conjecture is made concerning the dependence of the velocity of the Rayleigh wave on a small curvature of the route and on a small curvature in the perpendicular direction. Bibliography: 7 titles.

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References

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Authors and Affiliations

  1. St. Petersburg Department of the Steklov Mathematical Institute, St. Petersburg, Russia

    N. Ya. Kirpihnikova & L. A. Molotkov

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  1. N. Ya. Kirpihnikova
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  2. L. A. Molotkov
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Correspondence to N. Ya. Kirpihnikova.

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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 369, 2009, pp. 48–63.

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Kirpihnikova, N.Y., Molotkov, L.A. On the velocity of the Rayleigh wave propagation along curvilinear surfaces. J Math Sci 167, 622–631 (2010). https://doi.org/10.1007/s10958-010-9949-2

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  • DOI: https://doi.org/10.1007/s10958-010-9949-2

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