周期界面裂纹的弹性波散射问题研究

本文研究了分布于两个关元限空间的周期界面对垂直入射Ｐ波及ＳＨ波的散射问题，文中利用有限Ｆｏｕｒｉｅｒ变换将一个周期带内散射场的边值问题转化为求解一个带周期核的奇异积分方程，并对ＳＨ波入射的情形进行了详细的分析，求解了相应的异积分方程，最后给出裂纹尖端的应力强度因子的计算公式及远离裂纹时散射位移场的渐进形式，并对散场的动态特性进行了数值分析。

SCATTERING OF ELASTIC WAVES BY PERIODICALLY ARRA1ED INTERFACE CRACKS

Recently the scattering of elastic waves by cracks has been studied in considerable detail. In this paper, an interaction of elastic waves with periodically arraicd cracks at an interlace of two bonded dissimilar elastic half-space is considered. Using the finite Fourier transform technique, the solution of a mixed boundary value problem for a typical strip is reduced to a set of singular integral equations with a singular kcrner of ctg((p / 2L)(u-x)), where 2L is the width of the periodical strip. Taking SH wave as an example, the singular integral equation is solved by the use of the Chebyshev polynomials. And the features of the scattering waves at the crack tip and at the far field have been analyzed in detail also.