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RAYLEIGH LAMB WAVES IN MICROPOLAR ISOTROPIC ELASTIC PLATE

RAYLEIGH LAMB WAVES IN MICROPOLAR ISOTROPIC ELASTIC PLATE
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摘要 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 are 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 amplitudes 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. 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 are 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 amplitudes 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.
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2006年第8期1049-1059,共11页 应用数学和力学(英文版)
关键词 micropolar elastic plate circular crested waves secular equations phasevelocity AMPLITUDES micropolar elastic plate circular crested waves secular equations phasevelocity amplitudes
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参考文献3

  • 1Rajneesh Kumar,Suman Choudhary.Response of orthotropic micropolar elastic medium due to time harmonic source[J].Sadhana.2004(1)
  • 2S. K. Tomar,Rajneesh Kumar.Elastic wave propagation in a cylindrical bore situated in a micropolar elastic medium with stretch[J].Proceedings of the Indian Academy of Sciences - Mathematical Sciences.1999(4)
  • 3Rajneesh Kumar,Baljeet Singh.Wave propagation in a micropolar generalized thermoelastic body with stretch[J].Proceedings of the Indian Academy of Sciences - Mathematical Sciences.1996(2)

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