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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 1999 Volume 253, Pages 245–268 (Mi znsl885)

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.

UDC: 550.344

Received: 16.10.1997


 English version:
Journal of Mathematical Sciences (New York), 2001, 105:3, 2090–2108

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