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Tytuł artykułu

Surface wave characteristics in a micropolar transversely isotropic halfspace underlying an inviscid liquid layer

Treść / Zawartość
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The present investigation deals with the propagation of waves in a micropolar transversely isotropic half space with an overlying inviscid fluid layer. Effects of fluid loading and anisotropy on the phase velocity, attenuation coefficient, specific loss and relative frequency shift. Finally, a numerical solution was carried out for aluminium epoxy material and the computer simulated results for the phase velocity, attenuation coefficient, specific loss and relative frequency shift are presented graphically. A particular case for the propagation of Rayleigh waves in a micropolar transversely isotropic half-space is deduced and dispersion curves are plotted for the same as functions of the wave number. An amplitude of displacements and microrotation together with the path of surface particles are also calculated for the propagation of Rayleigh waves in the latter case.
Rocznik
Strony
49--60
Opis fizyczny
Bibliogr. 13 poz., wykr.
Twórcy
autor
  • Department of Mathematics and Applied Sciences MEC, OMAN
autor
  • Department of Mathematics, MMU Mullana, INDIA
Bibliografia
  • Abubakar I. (1962): Free vibrations of a transversely isotropic plate. - Quart. Journ. Mech. and Applied Math., XV, Pt.I, pp.129-136.
  • Brulin O. and Hsieh R.K.T. (1981): Mechanics of Micropolar Media. - World Scientific Publishing Corp. Pvt. Ltd..
  • Eringen A.C. (1966): Linear theory of micropolar elasticity. - J. Math. Mech., vol.16, pp.909-923.
  • Eringen A.C. (1999): Microcontinuum Field Theories I: Foundations and Solids. - New York: Springer-Verlag.
  • Gauthier R.D. (1982): In experimental investigations on micropolar media. - Mechanics of Micropolar Media (eds) O. Brulin, RKT Hsieh. (Singapore: World Scientific).
  • Keck E. and Armenkas A.E. (1971): Wave propagation in transversely isotropic layered cylinders. - J. of the Engg. Mech. Division Procc. of the Amer. Soc. of Civil Engg., EM 2, pp.541-555.
  • Kolsky H. (1963): Stress Waves in Solids. - Oxford: Clarendon Press; New York: Dover Press.
  • Mindlin R.D. (1964): Microstructure in linear elasticity. - Arch. Rational Mech. Anal., vol.16, pp.51-78.
  • Parfitt V.R. and Eringen A.C. (1969): Reflection of plane waves from the flat boundary of a micropolar elastic halfspace. - The Journal of Acoustical Society of America, vol.45, No.5, pp.1258-1272.
  • Payton R.G. (1992): Wave propagation in a restricted transversely isotropic elastic solid whose slowness surface contains conical points. - [Q. J.] Mech. Appl. Math., vol.45, Pt.2, pp.183-197.
  • Slaughter W.S. (2002): The Linearized Theory of Elasticity. - Birkhauser.
  • Suhubi E.S. and Eringen A.C. (1964): Non-linear theory of simple microelastic solids II. - Int. J. Engng. Sci., vol.2, pp.389-404.
  • Suvalov A.L., Poncelet O., Deschamps M. and Baron C. (2005): Long-wavelength dispersion of acoustic waves in transversely inhomogeneous anisotropic plates. - Wave Motion, vol.42, pp.367-382.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-acb750dc-1699-4546-8d52-361a20e8b0e6
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