Closed-form solution for two collinear cracks in a piezoelectric strip

被引：25
|
作者：
Zhong, XC
Li, XF [1 ]
机构：
[1] Hunan Normal Univ, Coll Math & Comp Sci, Changsha 410081, Hunan, Peoples R China
[2] Cent S Univ, Sch Civil Engn & Architecture, Inst Mech & Sensor Technol, Changsha 410083, Peoples R China
来源：
MECHANICS RESEARCH COMMUNICATIONS | 2005年 / 32卷 / 04期
基金：
中国国家自然科学基金;
关键词：
collinear cracks; piezoelectric strip; closed-form solution; Fourier transform;
D O I：
10.1016/j.mechrescom.2004.10.012
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
Under the permeable electric boundary condition, the problem of two collinear anti-plane shear cracks lying at the mid-plane of a piezoelectric strip is investigated. By using the Fourier transform, the associated problem is reduced to a singular integral equation. Solving the resulting equation analytically, the electro-elastic field intensity factors and energy release rates at the inner and outer crack tips can be determined in explicit form. Numerical results for PZT-5H piezoelectric ceramic are also presented graphically. The results reveal that the effect of electric field on crack growth in piezoelectric materials is dependent on applied elastic displacement. (c) 2004 Elsevier Ltd. All rights reserved.
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页码：401 / 410
页数：10
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