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Study of axi-symmetric vibrations in a micropolar transversely isotropic layer

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The present investigation deals with the propagation of circular crested Lamb waves in a homogeneous micropolar transversely isotropic medium. Secular equations for symmetric and skew-symmetric modes of wave propagation in completely separate terms are derived. The amplitudes of displacements and microrotation are computed numerically for magnesium as a material and the dispersion curves, amplitudes of displacements and microrotation for symmetric and skew-symmetric wave modes are presented graphically to evince the effect of anisotropy. Some special cases of interest are also deduced.
Rocznik
Strony
259--268
Opis fizyczny
Bibliogr. 13 poz., wykr.
Twórcy
autor
  • Department of Mathematics and Applied Sciences, MEC Muscat, OMAN
autor
  • Department of Mathematics and Applied Sciences, MEC Muscat, OMAN
Bibliografia
  • [1] Suhubi E.S. and Eringen A.C. (1964): Non-linear theory of simple microelastic solids II. International Journal of Engineering Sciences, vol.2, pp.389-404.
  • [2] Eringen A.C. (1999): Microcontinuum field theories I: Foundations and Solids. New York: Springer Verlag.
  • [3] Mindlin R.D. (1964): Microstructure in linear elasticity. Arch. Rational Mech. Anal., vol.16, pp.51-78.
  • [4] Eringen A.C. (1966): Linear theory of micropolar elasticity. J. Math. Mech., vol.16, pp.909-923.
  • [5] Abubakar I. (1962): Free vibrations of a transversely isotropic plate. Quarterly Journal of Mech. and Applied Math., XV, Pt.I, pp.129-136.
  • [6] Keck E. and Armenkas A.E. (1971): Wave propagation in transversely isotropic layered cylinders. Journal of the Engg. Mech. Division Proceedings of the American Society of Civil Engg., EM 2, pp.541-555.
  • [7] Suvalov A.L., Poncelet O., Deschamps M. and Baron C. (1974): Long-wavelength dispersion of acoustic waves in transversely inhomogeneous anisotropic plates. Wave Motion, vol.42, pp.367-382.
  • [8] Payton R.G. (1991): Wave propagation in a restricted transversely isotrpic elastic solid whose slowness surface contains conical points. [Q.J.] Mech. Appl. Math., vol.45, Pt.2, pp.183-197.
  • [9] Eringen A.C. (1999): Microcontinuum field theories I: Foundations and Solids. New York: Springer Verlag.
  • [10] Slaughter W.S. (2002): The linearized theory of elasticity. Birkhauser.
  • [11] Parfitt and Eringen (1969): Reflection of plane waves from the flat boundary of a micropolar elastic half-space. The Journal of Acoustical Society of America, vol.45, No.5, pp.1258-1272.
  • [12] Kolsky H. (1963): Stress Waves in Solids. New York: Clarendon Press, Oxford; Dover Press.
  • [13] Eringen A.C. (1964): Plane waves in nonlocal micropolar elasticity. Int. J. Engng. Sci, vol.22, pp.1113-1121.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-ff629bdf-50bd-495e-a232-76f49a16bc72
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