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Dispersion of waves in coated poroelastic circular cylinders

Wybrane pełne teksty z tego czasopisma
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The phenomenon of crack initiation due to dynamic contact loading is referred to as fretting fatigue. This situation is commonly encountered in mechanical couplings subjected to vibration. Whenever a material has good mechanical properties but poor fretting resistance it is advantageous to provide a layer of material having good fretting resistance instead of changing the entire material. This extra layer of material can be provided by coating or by any other surface treatment methods. Wave propagation in coated poroelastic cylinders of infinite extent is investigated employing Biot's theory. The coated poroelastic cylinder consists of two poroelastic cylinders of different poroelastic materials bonded at the curved surface such that the liquids in the poroelastic materials are immiscible. Frequency equations of coated poroelastic cylinders are derived both for pervious and impervious surfaces. Let the infinite coated poroelastic cylinder be homogeneous and isotropic and the outer boundary is free from stress. At the interface of the core and coating, the stresses and displacements are continuous. For motions having infinite wavelength or when the wavenumber is zero, the axial shear and radial modes of the coated poroelastic cylinder are uncoupled each for a pervious and an impervious surface. The frequency equation of axial shear vibrations is same for pervious and impervious surfaces. Non-dimensional phase velocity for propagating modes is computed as a function of propagation constant in the absence of dissipation. The results are presented graphically for two types of coated poroelastic cylinders and then discussed.
Rocznik
Strony
213--231
Opis fizyczny
Bibliogr. 19 poz., tab., wykr.
Twórcy
autor
autor
  • Department of Mathematics Deccan College of Engineering and Technology Hyderabad-500 001 (A.P) INDIA, ahmed_shah67@yahoo.com
Bibliografia
  • Abousleiman Y. and Cui L. (1998): Poroelastic solutions in transversely isotropic media for wellbore cylinders. - Int. Journal of Solids and Structures vol.35, pp.4905-4929.
  • Ahmed Shah S. (2008): Axially symmetric vibrations of fluid-filled poroelastic circular cylindrical shells. - Journal of Sound and Vibration, vol.318, pp.389-405.
  • Ahmed Shah S. and Tajuddin M. (2009): Axially symmetric vibrations of finite composite poroelastic cylinders. - International Journal Applied Mechanics and Engineering, vol.14, pp.865-877.
  • Baltrukonis J.H., Gottenberg W.G. and Schreiner R.N. (1961): Axial-shear vibrations of an infinitely long composite circular cylinder. - J. Acoust. Soc. Am., vol.33, pp.1447-1457.
  • Biot M.A. (1956): Theory of propagation of elastic waves in fluid-saturated porous solid. - J. Acoust. Soc. Am., vol.28, 168-178.
  • Cui L., Cheng A.H-D. and Abousleiman Y. (1997): Poroelastic solutions of an inclined Borehole. - Trans. ASME, J. Appl. Mech., vol.64, pp.32-38.
  • Farhang H., Esmaeil E., Anthony N.S. and Mirnezami A. (2007): Wave propagation in transversely isotropic cylinders. - Int. Journal of Solids and Structures, vol.44, pp.5236-5246.
  • Fatt I. (1959): The Biot-Willis elastic coefficients for a sandstone. - J. Appl. Mech., vol.26, pp.296-297.
  • Gazis D.C. (1959): Three-dimensional investigation of the propagation of waves in hollow circular cylinders. - I. Analytical foundation. - J. Acoust. Soc. Am., vol.31, pp.568-578.
  • Malla Reddy P. and Tajuddin M. (2000): Exact analysis of the plane-strain vibrations of thick-walled hollow poroelastic cylinders. - Int. Journal of Solids and Structures, vol.37, pp.3439-3456.
  • McNiven H.D., Sackman J.L. and Shah A.H. (1963): Dispersion of axially symmetric waves in composite elastic rods. - J. Acoust. Soc. Am., vol.35, pp.1602-1609.
  • Tajuddin M. (1982): Torsional vibrations of finite composite poroelastic cylinders. - Indian. J. Pure and Appl. Math., vol.13, pp.375-381.
  • Tajuddin M. and Ahmed S.I. (1991): Dynamic interaction of a poroelastic layer and a half-space. - J. Acoust. Soc. Am., vol.89, pp.1169-1175.
  • Tajuddin M. and Ahmed Shah S. (2006): Circumferential waves of infinite hollow poroelastic cylinders. - Trans. ASME, J. Appl. Mech., vol.73, pp.705-708.
  • Tajuddin M. and Ahmed Shah S. (2007): On torsional vibrations of infinite hollow poroelastic cylinders. - Journal of Mechanics of Materials and Structures, vol.2, pp.189-200.
  • Tajuddin M. and Ahmed Shah S. (2010): Radial vibrations of thick-walled hollow poroelastic cylinders. - Journal of Porous Media, vol.13, pp.307-318.
  • Wisse C.J., Smeulders D.M.J. van Dongen M.E.H. and Chao G. (2002): Guided wave modes in porous cylinders: Experimental results. - J. Acoust. Soc. Am., vol.112, pp.890-895.
  • Wisse C.J., Smeulders D.M.J., Chao G. and van Dongen M.E.H. (2007): Guided wave modes in porous cylinders: Theory. - J. Acoust. Soc. Am., vol.122, pp.2049-2056.
  • Yew C.H. and Jogi P.N. (1976): Study of wave motions in fluid-saturated porous rocks. - J. Acoust. Soc. Am., vol.60, pp.2-8.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ5-0026-0016
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