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首页> 外文期刊>International journal of applied mechanics and engineering >REFLECTION AND TRANSMISSION OF WAVES FROM A PLANE INTERFACE BETWEEN VISCOUS LIQUID AND MAGNETO ELASTIC SOLID HALF SPACE WITH VOIDS
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REFLECTION AND TRANSMISSION OF WAVES FROM A PLANE INTERFACE BETWEEN VISCOUS LIQUID AND MAGNETO ELASTIC SOLID HALF SPACE WITH VOIDS

机译:粘性液体和电磁半固态空泡在平面界面上的波的反射和透射

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摘要

This paper investigates the propagation of plane waves as well as their reflection and transmission from the plane interface which separates a viscous liquid half space and a magneto elastic solid semi infinite medium containing a distribution of void pores. From the analysis of the propagation of plane waves in a magneto elastic solid medium with voids, it is found that the longitudinal wave in a void solid medium is subject to dispersion of the general wave form. In this case, short wave and long wave approximations have been made. A 'cut of frequency', which depends upon the void parameter, exists below which one of the longitudinal waves cannot propagate at all. Amplitude and energy ratios of various reflected and transmitted waves are presented in each of the four cases when (ⅰ) a set of coupled longitudinal waves (ⅱ) a similar set of coupled waves (ⅲ) a transverse wave, propagating through the solid half space (ⅳ) a longitudinal wave propagating through the viscous liquid half space, are made incident at the interface. Numerical computations are made for a specific model and results are presented graphically to highlight the modulations of these ratios due to the variation of incident angle of the incident wave. It is found that the amplitude and energy ratios of various reflected and transmitted waves are functions of angle of incidence and frequency. The effects of viscosity of the liquid, magnetic field as well as void nature of the solid medium on the amplitude and energy ratios have been analyzed from the graphical representations.
机译:本文研究了平面波的传播以及它们从平面界面的反射和透射,平面界面将粘性液体半空间和包含空隙分布的磁弹性固体半无限介质分开。通过分析平面波在具有空隙的磁弹性固体介质中的传播,发现空隙固体介质中的纵波会受到一般波形的分散。在这种情况下,已经进行了短波和长波近似。存在取决于空隙参数的“频率切割”,在该切割之下,纵波之一根本不能传播。当(ⅰ)一组耦合纵波(ⅱ)一组相似的耦合波(ⅲ)横波传播通过固体半空间时,在这四种情况的每种情况下,都将显示各种反射波和透射波的振幅和能量比。 (ⅳ)通过粘性液体半空间传播的纵波入射到界面处。针对特定模型进行了数值计算,并以图形方式显示了结果,以突出显示由于入射波的入射角的变化而导致的这些比率的调制。发现各种反射波和透射波的振幅和能量比是入射角和频率的函数。已经从图形表示中分析了液体的粘度,磁场以及固体介质的空隙性质对振幅和能量比的影响。

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