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.
KeywordsRussia Exact Solution Wave Propagation Rayleigh Wave Elasticity Theory
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- 1.V. M. Babih, “Propagation of Rayleigh waves along the surface of a homogeneous elastic body of arbitrary shape,” Dokl. Akad. Nauk USSR, 137, 1263–1266 (1961).Google Scholar
- 2.V. M. Babih and N. Ya. Rusakova, “On propagation of Rayleigh waves along the surface of an inhomogeneous body of arbitrary shape,” Zh. Vych. Mat. Mat. Fiz., 4, 652–665 (1962).Google Scholar
- 4.G. I. Petrashen, L. A. Molotkov, and P. V. Krauklis, Waves in Layer-Homogeneous Isotropic Elastic Media [in Russian], Nauka, Leningrad (1985).Google Scholar
- 5.V. G. Reah, A Guide book to the Solution of Problems in Elasticity Theory [in Russian], Moscow (1977).Google Scholar
- 6.I. M.Ryzhik and I. S. Granstein, “Tables of Integrals, Sums, Series, and Products [in Russian], Moscow Leningrad (1951).Google Scholar
- 7.L. A. Molotkov, The Matrix Method in Wave Propagation Theory in Layered Elastic and Fluid Media [in Russian], St. Petersburg (1984).Google Scholar