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首页> 外文期刊>Mathematical Problems in Engineering >Rayleigh Waves in Generalized Magneto-Thermo-Viscoelastic Granular Medium under the Influence of Rotation, Gravity Field, and Initial Stress
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Rayleigh Waves in Generalized Magneto-Thermo-Viscoelastic Granular Medium under the Influence of Rotation, Gravity Field, and Initial Stress

机译：旋转，重力场和初始应力影响下的广义磁热粘弹性颗粒介质中的瑞利波

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摘要

The surface waves propagation in generalized magneto-thermo-viscoelastic granular medium subjected to continuous boundary conditions has been investigated. In addition, it is also subjected to thermal boundary conditions. The solution of the more general equations are obtained for thermoelastic coupling. The frequency equation of Rayleigh waves is obtained in the form of a determinant containing a term involving the coefficient of friction of a granular media which determines Rayleigh waves velocity as a real part and the attenuation coefficient as an imaginary part, and the effects of rotation, magnetic field, initial stress, viscosity, and gravity field on Rayleigh waves velocity and attenuation coefficient of surface waves have been studied in detail. Dispersion curves are computed numerically for a specific model and presented graphically. Some special cases have also been deduced. The results indicate that the effect of rotation, magnetic field, initial stress, and gravity field is very pronounced.
机译：研究了在连续边界条件下广义磁热粘弹性粒状介质中的表面波传播情况。另外，它还经受热边界条件。对于热弹性耦合，获得了更通用方程的解。以行列式的形式获得瑞利波的频率方程，该行列式包含一个涉及粒状介质摩擦系数的项，该项确定瑞利波的速度为实部，衰减系数为虚部，并确定旋转的影响，对瑞利波的磁场，初始应力，粘度和重力场进行了详细研究。对特定模型进行数值计算并以图形方式显示色散曲线。还推断出一些特殊情况。结果表明，旋转，磁场，初始应力和重力场的影响非常明显。

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  • 来源
    《Mathematical Problems in Engineering》 |2011年第2期|p.1-47|共47页
  • 作者

    A. M. Abd-AHa; S. M. Abo-Dahab; F. S. Bayones;

  • 作者单位

    Mathematics Department, Faculty of Science, Taif University, Taif 21974, Saudi Arabia;

    Mathematics Department, Faculty of Science, Taif University, Taif 21974, Saudi Arabia,Mathematics Department, Faculty of Science, South Valley University, Qena 83523, Egypt;

    Mathematics Department, Faculty of Science, Umm Al-Qura University, P.O. Box 10109, Makkah 13401, Saudi Arabia;

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