Isolated crack in three-dimensional piezoelectric solid .2. Stress intensity factors for circular crack

被引:54
作者
Zhao, MH
Shen, YP
Liu, YJ
Liu, GN
机构
[1] XIAN JIAOTONG UNIV,XIAN 710049,PEOPLES R CHINA
[2] ZHENGZHOU RES INST MECH ENGN,ZHENGZHOU 450052,HENAN,PEOPLES R CHINA
基金
美国国家科学基金会;
关键词
D O I
10.1016/S0167-8442(96)00042-0
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
This is part II of the work concerned with finding the stress intensity factors for a circular crack in a solid with piezoelectric behavior. The method of solution involves reducing the problem to a system of hypersingular integral equations by application of the unit concentrated displacement discontinuity and the unit concentrated electric potential discontinuity derived in part I [1]. The near crack border elastic displacement, electric potential, stress and electric displacement are obtained. Stress and electric displacement intensity factors can be expressed in terms of the displacement and the potential discontinuity on the crack surface. Analogy is established between the boundary integral equations for arbitrary shaped cracks in a piezoelectric and elastic medium such that once the stress intensity factors in the piezoelectric medium can be determined directly from that of the elastic medium. Results for the penny-shaped crack are obtained as an example.
引用
收藏
页码:141 / 149
页数:9
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