On the influence of a viscous fluid on quasi-Lamb waves in the elastic layer interacting with a liquid half-space

1Bahno, OM
1S.P. Timoshenko Institute of Mechanics of the NAS of Ukraine, Kyiv
Dopov. Nac. akad. nauk Ukr. 2017, 4:19-27
https://doi.org/10.15407/dopovidi2017.04.019
Section: Mechanics
Language: Russian
Abstract: 

The problem on propagation of quasi-Lamb waves in the elastic layer that interacts with the half-space of a viscous compressible fluid is considered. The dispersion curves are constructed, and the propagation of quasi-Lamb waves over a wide range of frequencies is studied, by using the three-dimensional linearized Navier – Stokes equations for a viscous fluid and linear equations of the classical elasticity theory for an elastic layer. The influence of a viscous compressible fluid and of the thickness of the elastic layer on the phase velocities and attenuation coefficients of the quasi-Lamb waves is analyzed. The approach developed and the results obtained make it possible to establish limits for the wave processes, within which the model of an ideal compressible fluid can be applied. The numerical results are presented in the form of graphs, and their analysis is given.

Keywords: dispersion of waves, elastic layer, half-space of a viscous compressible fluid, quasi-Lamb modes
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