摘要
采用Green函数法研究含圆孔边界径向有限长度裂纹的无限压电材料对SH波的散射和裂纹尖端动应力强度因子问题。首先构造出具有半圆型凹陷半无限压电介质的弹性位移Green函数和电场Green函数,然后采用裂纹"切割"方法构造孔边裂纹,并根据契合思想和界面上的连接条件建立起求解问题的定解积分方程组。得到孔边动应力强度因子的解析表达式。最后作为算例,给出了裂纹尖端动应力强度因子的计算结果图并进行了讨论。部分计算结果与相应的弹性材料进行了比较。
Based on the method of Green’s function, the problem of SH-wave scattering by a circular cavity with any finite lengths radial cracks and the dynamic stress intensity factor at the crack tip in a piezoelectric material are investigated in the paper. Firstly, the displacement Green’s function and the electric potential Green’s function suitable for the present problem are constructed. Secondly, the infinite piezoelectric material is divided into two semi media. Based on the crack-division technique, the above two semi media can be conjuncted to a whole infinite medium. Thirdly, integral equations for the unknown stresses solution can be established, which are related to crack-tip dynamic stress intensity factor. The analytical expression on dynamic stress intensity factor is also obtained. Finally, some cases for the crack-tip dynamic stress intensity factor are given, and some of the results are compared with the same situation about elastic medium.
出处
《工程力学》
EI
CSCD
北大核心
2010年第9期7-11,共5页
Engineering Mechanics
基金
黑龙江省自然科学基金项目(A00-10)
哈尔滨工程大学基础研究基金项目(HEUF04008)
关键词
压电材料
孔边裂纹
GREEN函数
SH波散射
动应力强度因子(DSIF)
积分方程
piezoelectric medium
radial cracks at the edge of a circular cavity
Green’s function
SH-wave scattering
dynamic stress intensity factor （DSIF）
integral equation
