Abstract
The longitudinal and transverse components of deformation of the surface of a flat layer of a viscoelastic material glued onto a solid base under the action of a traveling pressure wave are determined. The coating compliance is described by two components corresponding to two components of surface displacement. The dimensionless compliance components depend only on the viscoelastic properties of the material, the ratio of the wave length to the layer thickness λ/H, and the ratio of the wave velocity to the velocity of propagation of shear oscillations V/C 0t . Data on the dynamic compliance are presented for 0.3 < λ/H < 30 and 0.1 < V/C 0t < 10. The compliance is demonstrated to be determined by its absolute value and by the phase lag of strain from pressure. The effect of viscous losses in the material and compressibility of the latter on the dynamic compliance is analyzed. An anomalous behavior of the compliance with the wave velocity being greater than a certain critical value is explained.
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References
L. D. Landau and E. M. Lifshits, Theory of Elasticity, Pergamon Press, Oxford-New York (1970).
B. N. Semenov, “Analysis of strain characteristics of viscoelastic coatings,” in: B. P. Mironov (ed.), Hydrodynamics and Acoustics of Near-Wall and Free Flows (collected scientific papers) [in Russian], Inst. Thermophys., Sib. Div., Acad. of Sci. of the USSR, Novosibirsk (1981), pp. 57–76.
B. N. Semenov, “Analysis of four types of viscoelastic coatings for turbulent drag reduction,” in: Emerging Techniques in Drag Reduction, MEP, London and Bury St. Edmunds (1996), pp. 187–206.
V. M. Kulik, “Plane strain wave in an isotropic layer of a viscoelastic material,” J. Appl. Mech. Tech. Phys., 47, No. 3, 394–400 (2006).
V. M. Kulik, S. L. Morozova, and S. V. Rodyakin, “Measurement of the complex compliance of coatings of elastic materials,” J. Eng. Phys. Thermophys., 75, No. 2, 401–405 (2002).
V. M. Kulik, S. V. Rodyakin, I. Lee, and H. H. Chun, “Deformation of a viscoelastic coating under the action of convective pressure fluctuations,” Exp. Fluids, 38, No. 5, 648–655 (2005).
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 48, No. 2, pp. 90–97, March–April, 2007.
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Kulik, V.M. Forced oscillations of a layer of a viscoelastic material under the action of a convective pressure wave. J Appl Mech Tech Phys 48, 221–228 (2007). https://doi.org/10.1007/s10808-007-0029-4
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DOI: https://doi.org/10.1007/s10808-007-0029-4