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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2012 Volume 409, Pages 40–48 (Mi znsl5510)

Computations of Rayleigh waves in anisotropic elastic media and impedance

A. P. Kachalov, S. A. Kachalov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences, St. Petersburg, Russia

Abstract: An algorithm of the computation of Rayleigh waves in layered anisotropic elastic media with arbitrary position of boundary plane and arbitrary direction of propagation is considered in the paper. By using translation operators the problem is reduced to the construction of an impedance operator for a homogeneous anisotropic half space and construction with its help the Rayleigh waves in the half space. Computations of velocities of Rayleigh waves and their polarization for different anisotropic media are given for the case of homogeneous half space at the end of the paper.

Key words and phrases: Rayleigh wave, impedance, anisotropic elastic medium, layered medium, computations.

UDC: 517.946

Received: 28.11.2012


 English version:
Journal of Mathematical Sciences (New York), 2013, 194:1, 21–25

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