On the dispersion of waves in an elastic layer carrying the layer of a viscous fluid

Authors

  • O.M. Bahno

DOI:

https://doi.org/10.15407/dopovidi2015.05.040

Keywords:

dispersion of waves, elastic layer, viscous fluid layer

Abstract

On the base of the three-dimensional linearized Navier–Stokes equations for a viscous fluid and the linear equations of classical theory of elasticity for an elastic layer, the dispersion curves are constructed, and the propagation of acoustic waves within the wide range of frequencies is studied. An effect of the viscosity of a fluid, the thicknesses of elastic and fluid layers on the phase velocities and the attenuation coefficients of modes are analyzed for both thin and thick elastic layers.

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References

Viktorov I.A. Sound surface waves in solids, Moscow: Nauka, 1981 (in Russian).

Kuznetsov S.V. Acoustic J., 2014, 60, No 1: 90–100 (in Russian).

Volkenstein M.M., Levin V.M. Acoustic J., 1988, 34, No 4: 608–615 (in Russian).

Guz A.N. Dynamics of compressible viscous fluid, Kyiv: A.C.K., 1998 (in Russian).

Bagno A.M., Guz A.N. Int. Appl. Mech., 1997, 33, No 6: 435–463. https://doi.org/10.1007/BF02700652

Guz A.N. Int. Appl. Mech., 2000, 36, No 1: 14–39. https://doi.org/10.1007/BF02681958

Guz A.N. Int. Appl. Mech, 2000, 36, No 3: 281–302. https://doi.org/10.1007/BF02681914

Guz A.N. Dynamics of compressible viscous fluid, Cambridge: Cambridge Scientific Publishers, 2009.

Ottenio M., Destrade M., Ogden R.W. Int. J. of Non-Linear Mech, 2007, 42, No 2: 310–320. https://doi.org/10.1016/j.ijnonlinmec.2006.10.001

Guz A.N. Int. Appl. Mech., 1980, 16, No 3: 175–190.

Guz A.N. Elastic waves in bodies with initial stresses. In 2 vols., Kyiv: Naukova Dumka (in Russian).

Guz A.N. Elastic waves in bodies with initial (residual) stresses, Kyiv: A.C.K., 2004 (in Russian).

Published

03.02.2025

How to Cite

Bahno, O. (2025). On the dispersion of waves in an elastic layer carrying the layer of a viscous fluid . Reports of the National Academy of Sciences of Ukraine, (5), 40–46. https://doi.org/10.15407/dopovidi2015.05.040

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