界面周期裂纹的SH波散射

研究了分布于两个半空间之间的界面周期裂纹对反平面剪切波的散射问题.应用有限富里叶变换.将一个周期带内的混合边值问题归结为对一具有周期核的第一类奇异积分方程的求解;借助于切比雪夫多项式,给出了积分方程的级数形式解,并得到了在裂纹尖端附近应力强度因子的计算公式.最后,对散射位移场的远场性态进行了分析讨论.

SCATTERING OF ELASTIC WAVE (SH) BY PERIODICALLY ARRAYED CRACKS AT THE INTERFACE OF TWO BONDED DISSIMILAR ELASTIC HALF-SPACES

Eeoently the scattering of elastic waves by a single crack has been studied in considerable detail. In this paper, the interaction of elastic waves (SH) with periodically arrayed cracks at the interface of two bonded dissimilar elastic half-spaces is considered. Using the Finite Fourier Transform technique, bhe solution of the mixed boundary value problem for a typical strip is reduced to a first kindof singular integral equation with a singular kernel of ctg(u- x), where l is thewidth of the periodical strip. By means of the Chebyshev polynomial, the numerical calculation of the integral equation is concluded. And finally, the variation of bhe stress intensity factor at the crack rim and the magnitude of scattering displacement at the far-field with the frequencies of the incident wave have been given numerically