Abstract

The scattering of shear waves at an irregular interface between two different incompressible transversely isotropic fiber-reinforced half-spaces has been investigated. There can exist reflected and transmitted quasi shear waves in certain limit of propagation angle, which is associated with slowness. The expressions corresponding to the reflection and transmission coefficients are obtained by using Rayleigh’s technique. These coefficients and energy ratios for irregular waves are computed numerically for a specific model, $x_2=d\hspace{0.17em}\text{cos}\hspace{0.17em}p{x}_1$ to validate the results. We have observed that these coefficients and ratios are functions of elastic constants, incidence angle, unit displacement vector, frequency and corrugation parameters.

摘要

研究了两个不同不可压缩横向各向同性纤维增强半空间之间不规则界面处的剪切波散射。在一定的传播角度范围内可以存在反射和透射的准剪切波，这与慢度有关。反射系数和透射系数对应的表达式是通过使用瑞利技术获得的。这些不规则波的系数和能量比是针对特定模型进行数值计算的，$X_2=d\hspace{0.17em}\text{因}\hspace{0.17em}p{X}_1$来验证结果。我们观察到这些系数和比率是弹性常数、入射角、单位位移矢量、频率和波纹参数的函数。