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Wave Propagation In An Isolated Porous Biot Layer With Closed Pores On The Boundaries

机译:波在边界上具有闭合孔的孤立多孔Biot层中的传播

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摘要

On the boundaries of such an isolated porous Bwt layer, the total stresses and normal relative displacement are equal to zero. For this layer, the symmetric and antisymmetric dispersion equations are established and investigated. The wave field consists of normal waves. In this layer, one bending wave, two plate waves, and infinitely many normal waves propagate. For all these waves, we determine dispersion curves by analytical methods. The velocities of the bending wave and the second plate wave for the infinite frequency are equal to the Rayleigh velocity.
机译:在这种隔离的多孔Bwt层的边界上,总应力和法向相对位移等于零。对于这一层,建立并研究了对称和反对称色散方程。波场由法向波组成。在这一层中,一个弯曲波,两个板波和无限多个法线波传播。对于所有这些波,我们通过分析方法确定色散曲线。对于无限频率,弯曲波和第二个平板波的速度等于瑞利速度。

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  • 来源
    《Journal of Mathematical Sciences》 |2008年第3期|p.432-441|共10页
  • 作者

    L. A. Molotkov;

  • 作者单位

    St.Petersburg Department of the Steklov Mathematical Institute, St.Petersburg, Russia;

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  • 正文语种 eng
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