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ON THE RAYLEIGH WAVE ON A CURVILINEAR BOUNDARY BETWEEN ELASTIC AND FLUID MEDIA

机译:弹性和流体介质之间的曲线边界上的瑞雷波

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摘要

Along the boundary between elastic and fluid media, the surface Rayleigh wave propagates. The velocity of this wave vro in the case of a plane boundary is less than the velocity of the Rayleigh wave ν_R on a free plane boundary of an elastic medium and less than the velocity vpo in a fluid medium. To investigate the velocity vro in the case of curvilinear boundaries, the propagation of Rayleigh waves under consideration along cylindrical and spherical surfaces is studied. The velocity of the Rayleigh wave depends on the curvature of the wave trajectory and the curvature in the direction perpendicular to the trajectory. Furthermore this velocity depends on the presence or absence of a fluid medium. Bibliography: 5 titles.
机译:沿着弹性和流体介质之间的边界,表面瑞利波传播。在平面边界的情况下,该波的速度vro小于弹性介质的自由平面边界上的瑞利波的速度v_R,并且小于在流体介质中的速度vpo。为了研究曲线边界情况下的速度vro,研究了考虑沿圆柱和球面传播的瑞利波。瑞利波的速度取决于波轨迹的曲率和垂直于轨迹的方向上的曲率。此外,该速度取决于流体介质的存在与否。参考书目:5个标题。

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  • 来源
    《Journal of Mathematical Sciences》 |2011年第6期|p.672-684|共13页
  • 作者

    L. A. Molotkov;

  • 作者单位

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

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  • 正文语种 eng
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