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Influence of Prestresses on Normal Waves in an Elastic Compressible Half-Space Interacting with a Layer of a Compressible Ideal Fluid

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The propagation of quasi-Lamb waves in a prestrained compressible elastic half-space that interacts with a layer of a compressible ideal fluid is studied using the three-dimensional linearized equations of the theory of finite deformations for the compressible elastic half-space and the three-dimensional linearized Euler equations for the compressible ideal fluid. A problem statement and an approach based on the general solutions of the linearized equations for elastic solid and fluid are used. The dispersion equations that describe the propagation of quasi-Lamb waves in hydroelastic systems over a wide frequency range are obtained. The effect of initial stresses and the thicknesses of the layer of compressible ideal fluid and the elastic half-space on the phase velocities of quasi-Lamb modes is analyzed. A criterion of existence of the quasi-Lamb waves in hydroelastic waveguides is proposed. The developed approach and the obtained results make it possible to establish the limits of applicability of the models of wave processes based on different versions of the theory of small initial deformations. 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, Ukraine, 03057

    A. N. Guz & A. M. Bagno

Authors
  1. A. N. Guz
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  2. A. M. Bagno
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Correspondence to A. M. Bagno.

Additional information

Translated from Prikladnaya Mekhanika, Vol. 55, No. 6, pp. 3–19, November–December 2019.

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Guz, A.N., Bagno, A.M. Influence of Prestresses on Normal Waves in an Elastic Compressible Half-Space Interacting with a Layer of a Compressible Ideal Fluid. Int Appl Mech 55, 585–595 (2019). https://doi.org/10.1007/s10778-019-00980-0

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  • DOI: https://doi.org/10.1007/s10778-019-00980-0

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