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Journal of Mathematical Sciences

, Volume 167, Issue 5, pp 622–631 | Cite as

On the velocity of the Rayleigh wave propagation along curvilinear surfaces

  • N. Ya. Kirpihnikova
  • L. A. Molotkov
Article
  • 31 Downloads

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.

Keywords

Russia Exact Solution Wave Propagation Rayleigh Wave Elasticity Theory 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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Copyright information

© Springer Science+Business Media, Inc. 2010

Authors and Affiliations

  1. 1.St. Petersburg Department of the Steklov Mathematical InstituteSt. PetersburgRussia

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