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Circular crested waves in thermoelastic plates bordered with viscous liquid

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Języki publikacji
EN
Abstrakty
EN
In this paper the propagation of thermoelastic waves in a homogeneous, transversely isotropic, thermally conducting elastic plate bordered with layers (or half-spaces) of a viscous liquid on both sides is investigated in the context of non classical theories of thermoelasticity. Complex secular equations for symmetric and antisymmetric wave motion of the circular plate, in completely separate terms, are derived. The regions of the secular equation, waves of short and long wavelength are also discussed. Finally, in order to illustrate the analytical results, the numerical solution is carried out for a transversely isotropic plate of cobalt material bordered with water by using the functional iteration method. The results are deduced and compared with the existing ones in relevant publications available in the literature at various stages of this work.
Rocznik
Strony
513--534
Opis fizyczny
Bibliogr. 17 poz., tab., wykr.
Twórcy
autor
autor
autor
Bibliografia
  • Atkins R.J. and Chadwick P. (1981): Surface waves in heat conduction elastic body-correction and extension of a paper of Chadwick and Windle. - Journal of Thermal Stresses, vol.4, pp.509-521.
  • Banerjee D.K. and Pao Y.H.J. (1974): Thermoelastic waves in solids and thermal relaxation. - Acoustical Society of America, vol.56, pp.1444-1453.
  • Chandrasekhar S. (1961): Hydrodynamic and Hydromagnetic Stability. - NewYork: Dover.
  • Chadwick P. and Windle D.W. (1964): Propagation of Rayleigh waves along isothermal and insulated boundaries. - Proceedings of the Royal Society of America, vol.280, pp.47-54.
  • Dhaliwal R.S. and Sherief H.H. (1980): Generalized thermoelasticity for anisotropic media. - Quarterly of Applied Mathematics, vol.38, pp.355-376.
  • Graff K.F. (1991): Wave Motion in Elastic Solids. - New York: Dover.
  • Hussain A., Ahmad Z. and Asawa G.L. (2010): Discharge characteristics of sharp-crested circular side orifices in open channels flow. - Measurement and Instrumentation, vol.21, pp.418-424.
  • Kumar A.B. (1989): Thermoelastic waves from suddenly punched hole in stretched plate. - Indian Journal of Pure and Applied Mathematics, vol.20, pp.181-188.
  • Kaliski S. (1963): Absorption of magneto viscoelastic surface waves in a real conductor in magnetic field. - Proceedings of Vibration Problems, vol.4, pp.319-329.
  • Nayfeh A.H. and Nagy P.B. (1997): Excess attenuation of leaky lamb waves due to viscous fluid loading. - Journal of Acoustical Society of America, vol.101, pp.2649-2658.
  • Sharma J.N. and Singh D. (2002): Circular crested thermoelastic waves in homogeneous isotropic plates. - Journal of Thermal Stresses, vol.25, pp.1179-1193.
  • Sharma J.N. and Pathania V. (2004): Circular crested waves in anisotropic plates bordered with inviscid liquid. - International Journal of Engineering Science, vol.42, pp.99-121.
  • Sharma J.N. and Walia Vishal (2006): Straight and circular crested lamb waves in generalized piezothermoelastic plates. - Journal of Thermal Stresses, vol.29, pp.529-551.
  • Sharma J.N. and Sharma R. (2010): Propagation characteristics of Lamb waves in a thermo-viscoelastic plate loaded with viscous fluid layers. - International Journal of Applied Mathematics and Mechanics, vol.6, pp.1-20.
  • Sharma J.N., Chand Rattan and Othman Mohamed I.A. (2009): On the propagation of Lamb waves in viscothermoelastic plates under fluid loadings. - International Journal of Engineering Science, vol.47, pp.391-404.
  • Watkins R.D., Cooper W.H.B., Gillespie A.B. and Pike R.B. (1982): The attenuation of Lamb waves in the presence of liquid. - Ultrasonics, vol.20, pp.257-264.
  • Zhu Z. and Wu J. (1995): The propagation of Lamb waves in a plate bordered with a viscous liquid. - Journal of Acoustical Society of America, vol.98, pp.1057-1067.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ5-0027-0011
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