Abstract
The problem of wave propagation in a nonuniform elastic layer located between two compressible liquids with different physical properties is stated and solved by series expansion in the small coordinate. It is shown that different types of inhomogeneities in the layer can cause strong concentration of the wave fields in either the central portion or near the boundaries of the layer.
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REFERENCES
I. A. Viktorov, Physical Foundations of the Engineering Applications of Ultrasonic Rayleigh and Lamb Waves [in Russian], Moscow (1966).
V. T. Grinchenko andV. V. Meleshko, Harmonic Oscillations and Waves in Elastic Bodies [in Russian], Kiev (1981).
I. T. Selezov, Simulation of Wave and Diffraction Processes in Continuous Media [in Russian], Kiev (1989).
L. M. Brekhovskikh, Waves in Layered Media [in Russian], Moscow (1973).
O. V. Avramenko andI. T. Selezov, “Wave propagation in an elastic medium located between two different liquid media, ” Akustichnii Visnik, No. 3, 3–10 (1999).
I. T. Selezov andO. V. Avramenko, “Propagation of hydroelastic waves in an elastic or liquid layer in contact with an external medium, ” Gidromekh., 68, 15–20 (1993).
W. Seemann andJ. Wauer, “Fluid-structural coupling of vibration bodies in a surrounding confined liquid, ” Zeitschrift für Angewandte Math. Mech., 76(2), 67–79 (1996).
M. A. Hawwa andA. H. Nayfeh, “Flexural wave propagation in a fluid loaded plate with periodically varying rigidity, ” Trans. ASME J. Vib. Acoust., 119(3), 415–419 (1997).
I. T. Selezov andO. V. Avramenko, “Wave propagation in an elastic layer with cavities located in a liquid, ” Mat. Metodi ta Fiz.-Mekh. Polya, No. 1, pp. 90–96 (1997).
Wenyong Tang andTieyun Chen, “Analysis for fluid-structure interaction vibration of laminated composite ship models, ” J. Shanghai Jiaotang Univ., 31(11), 112–115 (1997).
D. Habault andP. G. T. Filippi, “Light fluid approximation for sound radiation and diffraction by thin elastic plates, ” J. Sound. Vibr., 213(2), 333–374 (1998).
Soumian Yu,Pihua Yang, andTian Yu, “Resonance theory of elastic head waves propagating in a solid layer in tight contact with a thick solid base, ” J. Vib. and Control, 4(3), 219–236 (1998).
Zhemin Zhu,Xiaoliang Zhao, andGonghuan Du, “Theory of acoustic streaming generated by ultrasonic Lamb waves, ” J. Acoust. Soc. Amer., 104(1), 89–90 (1998).
O. V. Avramenko andI. T. Selezov, “Wave propagation along an elastic inhomogeneous layer in a liquid, ” Izv. RAN MTT, No. 6, pp. 172–182 (1996).
J. F. Hooke, “Separation of the vector wave equation of elasticity for certain types of inhomogeneous, isotropic media, ” J. Acoust. Soc. Amer., 33(3), 302–313 (1961).
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Selezov, I.T., Avramenko, O.V. Wave Propagation in an Elastic Nonuniform Layer in Contact with Liquid Media. Journal of Mathematical Sciences 107, 4395–4402 (2001). https://doi.org/10.1023/A:1012504500717
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DOI: https://doi.org/10.1023/A:1012504500717