界面周期裂纹的SH波散射

应用科学学报 ›› 1991, Vol. 9 ›› Issue (3): 222-232.

界面周期裂纹的SH波散射

邹振祝, 章梓茂, 马兴瑞

哈尔滨工业大学

收稿日期:1989-09-29 修回日期:1990-03-18 出版日期:1991-09-30 发布日期:1991-09-30

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

ZOU ZHENZHU, ZHANG ZIMAO, MA XINGRUI

Harbin Institute of Technology

Received:1989-09-29 Revised:1990-03-18 Online:1991-09-30 Published:1991-09-30

摘要/Abstract

摘要： 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.

关键词: 弹性波散射, 界面周期裂纹, 应力强度因子, 远场分析

Abstract: Recently 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, the solution of the mixed boundary value problem for a typical strip is reduced to a first kind of singular integral equation with a singular kernel of ctg π/(2l)(u-x), where l is the width of the periodical strip. By means of the Chebyshev polynomial, the numerical calculation of the integral equation is concluded. And finally, the variation of the 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.

Key words: stress intensity factor, scattering of elastic wave, far-field analysis, periodically arrayed cracks

邹振祝, 章梓茂, 马兴瑞. 界面周期裂纹的SH波散射[J]. 应用科学学报, 1991, 9(3): 222-232.

ZOU ZHENZHU, ZHANG ZIMAO, MA XINGRUI. SCATTERING OF ELASTIC WAVE (SH) BY PERIODICALLY ARRAYED CRACKS AT THE INTERFACE OF TWO BONDED DISSIMILAR ELASTIC HALF-SPACES[J]. Journal of Applied Sciences, 1991, 9(3): 222-232.