【摘要】 研究了剪切波在周期裂纹界面上的反射和折射问题 ,根据问题的周期性 ,利用Fourier级数将该混合边值问题归结为一组Hilbert型的奇异积分方程 ,同时推导出散射波位移折射反射系数。通过数值求解奇异积分方程 ,计算了折反射系数 ,结果发现 :反射、折射系数受频率、入射角、裂纹周期、裂纹长度、材料组合等诸多因素影响 ,同时 ,折反射系数曲线在某些很窄的频率域内有陡升和陡降现象。更多还原

【Abstract】 Based on the periodicity of the reflection and refraction of shear waves at an interface with periodic array of cracks the associated mixed boundary value problem is described as a Hilbert singular integral equation by using Fourier series.The displacement reflection and refraction coefficients of the scattered waves are derived.The reflection and refraction coefficients can be calculated by solving the singular integral equation numerically.The results show that the coefficients depend upon many factors such as the frequency,incident angle,crack period,crack length and material combination,etc.It is also found that the curves for the reflection and refraction coefficients involves sharp peaks and dips in some very narrow frequency regions.更多还原