Rajneesh Kumar, Geeta Partap. Rayleigh Lamb Waves in a Micropolar Isotropic Elastic Plate[J]. Applied Mathematics and Mechanics, 2006, 27(8): 913-922.
Citation: Rajneesh Kumar, Geeta Partap. Rayleigh Lamb Waves in a Micropolar Isotropic Elastic Plate[J]. Applied Mathematics and Mechanics, 2006, 27(8): 913-922.

Rayleigh Lamb Waves in a Micropolar Isotropic Elastic Plate

  • Received Date: 2005-08-21
  • Rev Recd Date: 2006-02-13
  • Publish Date: 2006-08-15
  • The propagation of waves in a homogeneous isotropic micropolar elastic cylindrical plate subjected to stress free conditions is investigated.The secular equations for symmetric and skew symmetric wave mode propagation were derived.At short wave limit,the secular equations for symmetric and skew symmetric waves in a stress free circular plate reduces to Rayleigh surface wave frequency equation.Thin plate results are also obtained.The amplitude of displacements and microrotation components are obtained and depicted graphically.Some special cases are also deduced from the present investigations.The secular equations for symmetric and skew symmetric modes are also presented graphically.
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  • [1]
    Eringen A C.Linear theory of micropolar elasticity[J].J Math Mech,1966,15(6):909—923.
    [2]
    Eringen A C.Theory of micropolar fluids[J].J Math Mech,1966,16:1—18.
    [3]
    Eringen A C.Non-Local Polar Field Theories in Continuum Physics[M].New York: Academic Press, 1976,205—267.
    [4]
    Eringen A C.Microcontinuum Field Theories, Foundations and Solids[M].New York:Springer-Verlag,Inc,1999.
    [5]
    Eringen A C.Microcontinuum Field Theories, Fluent Media[M].New York: Springer-Verlag,Inc,2001.
    [6]
    Eringen A C.Nonlocal Continuum Field Theories[M].New York:Springer-Verlag,Inc,1999.
    [7]
    Nowacki W,Nowacki W K. Generation of waves in an infinite micropolar elastic solidsⅠ,Ⅱ[J].Bull Acad Polon Sci Ser Sci Techn,1969,17(2):75—81,83—89.
    [8]
    Bannerji D K,Sengupta P R.Micropolar elastic waves in a cylindrical bore containing a fluid Ⅰ,Ⅱ[J].Bull Acad Polon Sci Ser Sci Techn,1977,25:257—262,263—270.
    [9]
    Rao K M, Rao B K. Longitudinal wave propagation in a micropolar wave guide of circular cross-section[J].Lett Appl Engng Sci,1983,21(9):1137—1144.
    [10]
    Rao K M. Longitudinal wave propagation in a micropolar wave guide[J]. Internat J Engng Sci,1988,26(2):135—144. doi: 10.1016/0020-7225(88)90100-0
    [11]
    Rao K M, Reddy M P.Rayleigh type wave propagation on a micropolar cylindrical surface[J].J Appl Mech,1993,60:857—865. doi: 10.1115/1.2900994
    [12]
    Kumar R,Singh B. Wave propagation in a micropolar generalized thermoelastic body with stretch[J].Proc Indian Acad Sci,Math Sci,1996,106:183—199. doi: 10.1007/BF02837172
    [13]
    Kumar R, Deswal S. Wave propagation through cylindrical bore contained in a microstretch elastic medium[J].Journal of Sound and Vibration,2002,250:711—722. doi: 10.1006/jsvi.2001.3925
    [14]
    Kumar R, Tomer S K. Elastic wave propagation in a cylindrical bore situated in a micropolar elastic medium with stretch[J].Proc Indian Acad Sci, Math Sci,1999,109:425—433. doi: 10.1007/BF02838003
    [15]
    Kumar R,Choudhary S. Response of orthotropic micropolar elastic medium due to time harmonic source[J].Sadhana,2004,29(1):83—92. doi: 10.1007/BF02707002
    [16]
    Kumar R,Ailawalia P.Effects of viscosity with moving load at micropolar boundary surface[J].Internat J Appl Mech Engrg,2005,10(1):95—108.
    [17]
    Eringen A C.Theory of micropolar elasticity[A].In: Leibowitz H, Ed.Fracture[C].Vol Ⅱ,New York :Academic Press, 1968.
    [18]
    Lamb H.On waves in an elastic plate[J].Phil Trans Roy Soc, London, Ser A,1917,93:114—128.
    [19]
    Graff K F.Wave Motion in Elastic Solids[M].New York: Dover Publications, Inc 1991.
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