声在圆柱形散射体屏中的传播
Sound propagation in a solid through a screen of cylindrical scatterers
摘要：
研究了SH波在含有线状散射体屏的固体中的传播。当散射体均匀分布时，屏内外相干波的振幅以封闭形式计算。在分析中，多重散射效应考虑到一阶近似的上下文中。提出了一个全局封闭假设，它产生了与Waterman和Truell相同的有效波数。散射体可以是圆形或椭圆形横截面的纤维，也可以是具有狭缝状或椭圆形横截面的二维裂纹。具体的分析和数值计算结果的平面裂纹和空腔的圆形截面。在这两种情况下，给出的图说明了反射和透射系数的变化作为频率和散射体浓度的函数。裂纹和空腔的结果，分别与早期的作品。
英文摘要：
The propagation of SH waves in a solid containing a screen of line-like scatterers is investigated. When the scatterers are uniformly distributed, the amplitudes of the coherent waves inside and outside the screen are evaluated in closed form. In the analysis, multiple scattering effects are taken into account within the context of a first-order approximation. A Global Closure Assumption is proposed, which yields an effective wavenumber identical to that of Waterman and Truell. The scatterers can be fibers of circular or elliptical cross-sections; they can also be two-dimensional cracks with slit-like or elliptical cross-sections. Specific analytical and numerical results are presented for flat cracks and empty cavities of circular cross-sections. In those two cases, figures are presented to illustrate the variations of the reflection and transmission coefficients as functions of frequency and of scatterer concentration. The crack and cavity results, respectively, are compared with those of earlier works.
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