Archives of Acoustics,
4, 1, pp. 57-64, 1979
Propagation of elastic wave in solid layer-liquid system
The paper presents the solution of the problem of a flat wave propagating without attenuation along a solid layer placed between a semispace filled with liquid and the vacuum.
The wave equation of scalar and vector potentials of displacement has been solved for this case. A characteristic equation accounting for boundary conditions has been derived. This equation has been solved numerically and it has been shown that in these conditions the wave can propagate at a velocity slightly smaller than the wave velocity in the liquid.
The distributions of stress, acoustic pressure, and displacement of the propagating wave have been determined numerically for a layer of a thickness a = 0.075 cm and a = 0.010 cm, contacting with water on one side, and for a frequency of 3 × 10^6 Hz. The type of wave is close to a surface wave.
The wave equation of scalar and vector potentials of displacement has been solved for this case. A characteristic equation accounting for boundary conditions has been derived. This equation has been solved numerically and it has been shown that in these conditions the wave can propagate at a velocity slightly smaller than the wave velocity in the liquid.
The distributions of stress, acoustic pressure, and displacement of the propagating wave have been determined numerically for a layer of a thickness a = 0.075 cm and a = 0.010 cm, contacting with water on one side, and for a frequency of 3 × 10^6 Hz. The type of wave is close to a surface wave.
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Copyright © Polish Academy of Sciences & Institute of Fundamental Technological Research (IPPT PAN).
References
W. EWING, W. JARDETZKY, Elastic waves in layered media, McGraw-Hill Book Company, INC, 1957, 281-288, 293-299.
I. MALECKI, Teoria fal i układów akustycznych (The theory of waves and acoustic systems), PWN, Warszawa, 1964, 79-82.
M. REDWOOD, Mechanical wave-guides, Pergamon Press, Oxford 1960, 119-121.