SCATTERING OF RAYLEIGH WAVES IN AN ELASTIC QUARTER SPACE
SCATTERING OF RAYLEIGH WAVES IN AN ELASTIC QUARTER SPACE
复制标题
弹性四分之一空间中瑞利波的散射
DOI：
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发表时间：
1980
期刊：
影响因子：
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通讯作者：
T. Momoi
中科院分区：
文献类型：
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作者：
T. Momoi
本文研究了瑞利波入射到弹性四分之一空间拐角时产生的波。瑞利波从无穷远处入射，沿着直角楔形的一个表面传播。积分方程用傅里叶变换技术导出，并通过变形其积分路径来求解，被积分数沿其大小平滑变化。得到了瑞利波沿两个自由面的能量通量和散射体波能通量的表达式。讨论了散射P波和S波的能量通量和方向性的分配。然后发现，散射的S波主要由四种波组成，好像它们来自不同的波源。描述了弹性介质质点沿两个自由面的轨道运动。与入射瑞利波存在的第一表面相比，第二表面上的轨道形态更快地趋向于瑞利波的轨道形态。与几位作者以前的实验结果进行了比较，显示出相当好的一致性。
This study investigates the generation of waves due to the incidence of the Rayleigh wave upon the corner of an elastic quarter space . The Rayleigh wave is incident from infinity and travels along one surface of a right-angled wedge. Integral equations are derived by use of the Fourier transform technique and are solved by deforming their integration path along which the integrands vary smoothly in magnitude. Expressions for the energy fluxes of the Rayleigh waves along two free surfaces and the scattered body waves are obtained. Partition of energy fluxes and directivities of the scattered P and S waves are discussed. The scattered S waves are then found to be composed primarily of four kinds of waves as if they were generated from different wave sources. The orbital motions of the particle of the elastic medium are depicted along two free surfaces. The orbit form on the second surface tends to that of the Rayleigh wave more rapidly than on the first surface where the incident Rayleigh wave exists. The comparison with experimental results previously obtained by several authors shows considerably good agreement.