Applied Mathematics and Mechanics (English Edition) ›› 2006, Vol. 27 ›› Issue (8): 1049-1059 .doi: https://doi.org/10.1007/s10483-006-0805-z

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RAYLEIGH LAMB WAVES IN MICROPOLAR ISOTROPIC ELASTIC PLATE

  

  • 收稿日期:2005-08-21 修回日期:2006-02-13 出版日期:2006-08-18 发布日期:2006-08-18

RAYLEIGH LAMB WAVES IN MICROPOLAR ISOTROPIC ELASTIC PLATE

Rajneesh Kumar, Geeta Partap   

    1. Department of Mathematics, Kurukshetra University, Kurukshetra 136119, Haryana, India;
    2. Department of Applied Mathematics, Dr. B. R. Ambedkar National Institute of Technology (Deemed University), Jalandhar 144011, Punjab, India
  • Received:2005-08-21 Revised:2006-02-13 Online:2006-08-18 Published:2006-08-18
  • Contact: Rajneesh Kumar

Abstract: 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.

Key words: micropolar elastic plate, circular crested waves, secular equations, phase velocity, amplitudes

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