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Effect of Prestresses on the Dispersion of Quasi-Lamb Waves in the System Consisting of an Ideal Liquid Layer and a Compressible Elastic Layer

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The propagation of quasi-Lamb waves in a prestrained compressible elastic layer interacting with a layer of an ideal compressible fluid is studied. The three-dimensional equations of linearized elasticity and the assumption of finite strains for the elastic layer and the three-dimensional linearized Euler equations for the fluid are used. The dispersion curves for the quasi-Lamb modes are plotted over a wide frequency range. The effect of prestresses and the thickness of the elastic and liquid layers on the frequency spectrum of normal quasi-Lamb waves is analyzed. The localization properties of the lower quasi-Lamb modes in the elastic–fluid waveguides are studied. The numerical results are presented in the form of graphs and analyzed

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Authors and Affiliations

  1. S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, 3 Nesterova St., Kyiv, 03057, Ukraine

    A. M. Bagno

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  1. A. M. Bagno
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Correspondence to A. M. Bagno.

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Translated from Prikladnaya Mekhanika, Vol. 53, No. 2, pp. 24–40, March–April, 2017.

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Bagno, A.M. Effect of Prestresses on the Dispersion of Quasi-Lamb Waves in the System Consisting of an Ideal Liquid Layer and a Compressible Elastic Layer. Int Appl Mech 53, 139–148 (2017). https://doi.org/10.1007/s10778-017-0799-1

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  • DOI: https://doi.org/10.1007/s10778-017-0799-1

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