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Rayleigh-Lamb waves in micropolar thermoelastic plate coated with inviscid fluid

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EN
Abstrakty
EN
The propagation of Rayleigh-Lamb waves in a micropolar generalized thermoelastic plate coated with an inviscid fluid is investigated in the context of Lord and Shulman (L-S), Green and Lindsay (G-L) and Chandrasekhariah and Tzou (C-T) theories of thermoelasticity. The secular equations for the symmetric and skew-symmetric mode propagation are derived. The regions and short wavelength waves of secular equations are also discussed. At short wavelength limits, the secular equations reduce to the Rayleigh surface wave frequency equation. Finally, the numerical solution is carried out for a magnesium crystal composite material plate coated with water layers. The dispersion curves, attenuation coefficients and amplitudes of stresses and temperature distribution for symmetric and skew-symmetric wave modes are computed analytically and presented graphically. This work could be useful in underwater acoustics. The present study has immense applications to defence science, mainly in geophysical problems, such as water-covered or oil-covered layers in the earth's crust.
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Strony
709--729
Opis fizyczny
Bibliogr. 15 poz., wykr.
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Bibliografia
  • Eringen A.C. and Suhubi E.S. (1964): Nonlinear theory of simple microelastic solids I. - International Journal of Engineering Science, vol.2, pp.189-203.
  • Eringen A.C. (1970): Foundations of micropolar thermoelasticity. - Intern. Cent. For Mech. Studies, Course and Lectures, No.23, Wien: Springer - Verlag.
  • El-Karamany A.S. and Ezzat M.A. (2004): Analytical aspects in boundary integral equation formulation for the generalized linear micropolar thermoelasticity. - International Journal of Mechanical Sciences, vol.46, pp.389-409.
  • Graff K.F. (1991): Wave Motion in Elastic Solids. - New York: Dover publications, Inc.
  • Kumar R. and Partap G. (2006): Rayleigh Lamb waves in micropolar isotropic elastic plate. - Applied Mathematics and Mechanics, vol.27, No.8, pp.1049-1059.
  • Kumar R. and Partap G. (2007): Wave propagation in a circular crested micropolar generalized thermoelastic plate. - Buletinul Institutului Politehnic din Iasi., vol.3-4, pp.53-72.
  • Kumar R. and Partap G. (2008): Propagation of waves in thermoelastic micropolar cubic crystals bordered with layers or half spaces of inviscid liquid. - International Journal of Applied Mathematics and Mechanics, vol.4, No.2, pp.19-38.
  • Kumar R. and Partap G. (2009): Free vibrations in micropolar thermoelastic plate loaded with viscous fluid with two relaxation times. - International Journal of Applied Mathematics and Mechanics, vol.5, No.8, pp.39-58.
  • Lamb H. (1917): On waves in an elastic plate. - Phil. Trans.Roy. Soc., London: Ser. A,vol.93, pp.114-128.
  • Lamb H. (1945): Hydrodynamics. - New York: Dover Publications 6th Edition.
  • Nayfeh A.H. and Nagy P.B. (1997): Excess attenuation of leaky Lamb waves due to viscous fluid loading. - J. Acoust. Soc. Am., vol.101, pp.2649-2658.
  • Nowacki W. (1966): Couple stresses in the theory of thermoelasticity III. - Bull. Acad. Polon. Sci. Ser. Sci. Tech., vol.14, No.8, pp.801-809.
  • Sharma J.N., Pathania V. and Gupta S.K. (2004): Circular crested waves in anisotropic thermoelastic plates bordered with inviscid liquid. - International Journal of Engineering Science, vol.42, pp.99-121.
  • Wu J. and Zhu Z. (1992): The propagation of Lamb waves in a plate bordered with layers of liquid. - Journal Acoustical Society of America, vol.91, pp.861-867.
  • Zhu Z. and Wu J. (1995): The propagation of Lamb waves in a plate bordered with a viscous fluid. - Journal Acoustical Society of America, vol.98, pp.1057-1064.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ5-0017-0027
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