On the effect of a viscous fluid on quasi-Lamb waves in an elastic layer that interacts with a liquid layer

Authors

  • O. M. Bahno S.P. Timoshenko Institute of Mechanics of the NAS of Ukraine, Kiev

DOI:

https://doi.org/10.15407/dopovidi2016.04.041

Keywords:

dispersion of waves, elastic layer, layer of a viscous compressible fluid, quasi-Lamb modes

Abstract

On the base of the three–dimensional linearized Navier–Stokes equations for viscous fluid and linear equations of the classical theory of elasticity for an elastic layer, the dispersion curves are constructed, and the propagation of quasi-Lamb waves within the wide range of frequencies is studied. The effects of the viscosity of a fluid and the thickness of elastic and fluid layers on the phase velocities and the attenuation coefficients of quasi–Lamb modes are analyzed. The numerical results are presented in the form of graphs, and their analysis is given.

Downloads

Download data is not yet available.

References

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

Belyankova T. I., Kalinchuk V. V. Acoustic J., 2014, 60, No 5: 492–504 (in Russian).

Grinchenko V. T., Komissarova G. L. Acoustic bulletin, 2005, 8, No 4: 38–45 (in Russian).

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

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

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 vol., Kyiv: Naukova Dumka, 1986 (in Russian).

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

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

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

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

Published

19.10.2024

How to Cite

Bahno, O. M. (2024). On the effect of a viscous fluid on quasi-Lamb waves in an elastic layer that interacts with a liquid layer . Reports of the National Academy of Sciences of Ukraine, (4), 41–48. https://doi.org/10.15407/dopovidi2016.04.041