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Zapiski Nauchnykh Seminarov POMI, 1999, Volume 253, Pages 245–268
(Mi znsl885)
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Classical and generalized Love problems in the domain of low-frequency interference waves of the signal type. II
N. S. Smirnova, Yu. A. Surkov St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Abstract:
Computation of the low-frequency interference waves of the SH-type in the generalized Love problem is considered. The model of the medium consists of the thin elastic layer, the thick layer and the half-space. The layers and the half-space are in a rigid contact with each other. It is assumed that the waves pass through the thick layer twice, there and back. A new method suggested by G. I. Petrashen for computation of wave fields
allows us to compute the fields of the SH-waves and to make some conclusions concerning its behavior. The computations are considered for two cases $\gamma<1$ and $\gamma>1$ where $\gamma$ is a ratio of the velocities in the thin and the thick layers. In both cases, the thin layer essentially distorts a signal transmitted deep into the medium.
Received: 16.10.1997
Citation:
N. S. Smirnova, Yu. A. Surkov, “Classical and generalized Love problems in the domain of low-frequency interference waves of the signal type. II”, Interference waves in layered media. Part 3, Zap. Nauchn. Sem. POMI, 253, POMI, St. Petersburg, 1999, 245–268; J. Math. Sci. (New York), 105:3 (2001), 2090–2108
Linking options:
https://www.mathnet.ru/eng/znsl885 https://www.mathnet.ru/eng/znsl/v253/p245
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Abstract page: | 184 | Full-text PDF : | 64 |
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