Abstract
The propagation of quasistationary Stoneley waves along a smooth boundary separating the inhomogeneous, anisotropic, elastic media is considered by applying the ray method with complex eikonal.
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Literature cited
V. M. Babich and N. Ya. Rusakova, “On the propagation of Rayleigh waves over the surface of an inhomogeneous elastic body of arbitrary shape,” Zh. Vychisl. Mat. Mat. Fiz.,2, No. 4, 652–665 (1962).
V. M. Babich, “On the conservation of energy during the propagation of nonstationary waves,” Vestn. Leningr. Gos. Univ., No. 7, 38–42 (1967).
V. M. Babich, V. S. Buldyrev, and I. A. Molotkov, “The method of perturbations in the theory of wave propagation,” in: The Theory of Propagation of Waves in Inhomogeneous and Nonlinear Media [in Russian]. Moscow (1979), pp. 28–143.
P. V. Krauklis, “Nonstationary Stoneiey waves,” Vopr. Dinam. Teor. Raspr. Seism. Voln.,9, 71–76 (1968).
V. E. Nomofilov, “Quasistationary Rayleigh waves on the surface of an inhomogeneous, anisotropic body,” Dokl. Akad. Nauk SSSR,247, No. 5, 1107–1111 (1979).
V. E. Nomofilov, “On the propagation of quasistationary Rayleigh waves in an inhomogeneous, anisotropic elastic medium,” Zap. Nauchn. Sem. Leningr. Otd. Mat. Inst.,89, 234–245 (1979).
P. K. Rashevskii, Riemannian Geometry and Tensor Analysis [in Russian], Moscow (1964).
I. N. Sneddon and D. S. Berry, The Classical Theory of Elasticity [in Russian], Moscow (1961).
R. Stoneiey, “Elastic waves at the surface of separation of two solids,” Proc. R. Soc, London,A106, 416–428 (1924).
G. B. Whitham, Linear and Nonlinear Waves, Wiley (1974).
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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol., 105, pp. 180–194, 1981.
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Nomofilov, V.E. Quasistationary Stoneley waves. J Math Sci 20, 1860–1869 (1982). https://doi.org/10.1007/BF01119371
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DOI: https://doi.org/10.1007/BF01119371