半空间内孔边界面裂纹对SH波的动力响应

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振动与冲击 ›› 2014, Vol. 33 ›› Issue (24) : 169-172.

论文

半空间内孔边界面裂纹对SH波的动力响应

赵春香1，齐辉2，杨在林2，王蕾蕾2

作者信息 +

Dynamic response of interface cracks originating at an hole in half-space to SH-wave

ZHAO Chun-xiang1,QI Hui2,YANG Zai-lin2,WANG Lei-lei2

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文章历史 +

摘要

采用“镜像”和“剖分—契合”等方法，对SH波作用下半空间孔边界面裂纹的动应力问题进行了研究。首先，采用 “镜像法”，将半空间镜像为全空间，构造出满足边界条件的散射波场；其次，借助“剖分—契合”方法和“裂纹切割”技术，将全空间沿界面分割成两个半空间求解后，再由界面应力位移连续“契合”条件组合成全空间，建立起求解该问题的积分方程组；最后，对界面裂纹端点的动应力强度因子(DSIF)进行数值分析。分析结果表明：适当地避开入射波波数、入射角度及裂纹长度等最不利影响因素的组合，可达到降低裂纹尖端点动应力的目的。

Abstract

The dynamic stress of interface cracks originating at an hole in half-space to SH-wave was studied using the methods of ‘image’ and ‘partitioning -conjunction’. Firstly, the problem was transformed from half space to whole space and the scattering waves which satisfy the boundary condition were constructed by the method of ‘image’. Secondly, with the help of ‘partitioning-conjunction’ method and ‘crack-division’ technique, the solving domain was divided into two parts along the interface, the two sub-domains satisfying the continuous ‘conjunction’ conditions of displacement and stress on interface were conjoined, and a group of integral equations were built to solve this problem. Finally, the dynamic stress intensity factor of the interface cracks tip was analyzed by numerical method. Numerical results demonstrate that the purpose of reducing crack tip’s dynamic stress can be achieved by properly avoiding the combination of the most adversely effective factors, such as incident wave number, incident angle, and the crack length, etc.

导出引用

赵春香;齐辉;杨在林;王蕾蕾. 半空间内孔边界面裂纹对SH波的动力响应[J]. 振动与冲击, 2014, 33(24): 169-172

ZHAO Chun-xiang;QI Hui;YANG Zai-lin;WANG Lei-lei. Dynamic response of interface cracks originating at an hole in half-space to SH-wave [J]. Journal of Vibration and Shock, 2014, 33(24): 169-172