Periodical collinear air containing cracks in a piezoelectric material

被引：11

作者：

Tian-hu H. ^{[1
,2
]}

机构：

[1] Dong Hua University

[2] China Textile University

来源：

Hao, T.-H. (hao@dhu.edu.cn) | 2001年 / Kluwer Academic Publishers卷 / 112期

基金：

中国国家自然科学基金;

关键词：

Analytic; Boundary condition; Periodical cracks; Permittivity; Piezoelectric;

D O I：

10.1023/A:1013588221105

中图分类号：

学科分类号：

摘要：

This paper derives an exact solution of periodical collinear cracks in a piezoelectric material plane. Two cases have been studied. In the first case, the permittivity of air εa is far less than that of piezoelectric material εm. Therefore, the electric induction in the air (Pak, 1990; Suo et al., 1992) may be neglected. In the second case, the permittivity of air is comparable with that of piezoelectric material. This electric induction is considered. Using the conformal mapping method, this problem can be deduced into a Riemann-Hilbert problem and solved in closed form. It is shown that the exact linear theory results (McMeeking, 1989; Gun and Fan, 1999) can be accepted when the remote stress σ2∞ and ratio εm/εa are small. If they are large, the approximate nonlinear boundary conditions (Deeg, 1980; Pak, 1990; Suo et al., 1992) are suitable.

引用

页码：197 / 204

页数：7

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