Abstract:
The velocity and the rate of decay of a strain wave in a layer of a viscoelastic material rigidly fixed on a solid foundation are determined. The wave structure (ratio of the longitudinal to the transverse displacement) and the profiles of these displacements are analyzed. Attenuation of waves in the first mode is found to be more significant than that in an infinite space. The most intense decay is observed at resonance frequencies. A strong effect of compressibility of the medium on wave parameters is revealed. Conditions at which such a system operates as a waveguide are found. For a loss tangent higher than 0.13 (for an incompressible medium), the character of the dispersion dependence is observed to change drastically: the wave velocity decreases with decreasing frequency.
Citation:
V. M. Kulik, “Plane strain wave in an isotropic layer of a viscoelastic material”, Prikl. Mekh. Tekh. Fiz., 47:3 (2006), 104–111; J. Appl. Mech. Tech. Phys., 47:3 (2006), 394–400
\Bibitem{Kul06}
\by V.~M.~Kulik
\paper Plane strain wave in an isotropic layer of a viscoelastic material
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2006
\vol 47
\issue 3
\pages 104--111
\mathnet{http://mi.mathnet.ru/pmtf2154}
\elib{https://elibrary.ru/item.asp?id=16515887}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2006
\vol 47
\issue 3
\pages 394--400
\crossref{https://doi.org/10.1007/s10808-006-0068-2}
Linking options:
https://www.mathnet.ru/eng/pmtf2154
https://www.mathnet.ru/eng/pmtf/v47/i3/p104
This publication is cited in the following 5 articles:
A. E. Darzhain, A. V. Boiko, V. M. Kulik, A. P. Chupakhin, “Parametric investigation of hydrodynamic stability of a boundary layer on a flat plate over two-layer compliant coatings”, Thermophys. Aeromech., 27:2 (2020), 181
A. I. Dyachenko, M. V. Veremyeva, E. S. Fomina, “Speed of Surface Elastic Wave Propagation over the Human Chest”, Phys. Wave Phen., 28:1 (2020), 14
V. M. Kulik, “Boundary conditions on a compliant wall in the turbulent flow”, Thermophys. Aeromech., 20:4 (2013), 435
V. M. Kulik, “Peculiarities of deformation of compliant coatings with increased strength”, Thermophys. Aeromech., 18:4 (2011), 547
V. M. Kulik, “Forced oscillations of a layer of a viscoelastic material under the action of a convective pressure wave”, J. Appl. Mech. Tech. Phys., 48:2 (2007), 221–228
Citation in format AMSBIB
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