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 引用本文: 周振功, 王彪. 利用Schmidt方法研究压电材料Ⅰ-型界面裂纹问题[J]. 应用数学和力学, 2006, 27(7): 765-774.
ZHOU Zhen-gong, WANG Biao. Investigation of the Behavior of a Model-Ⅰ Interface Crack in Piezoelectric Materials by Using the Schmidt Method[J]. Applied Mathematics and Mechanics, 2006, 27(7): 765-774.
 Citation: ZHOU Zhen-gong, WANG Biao. Investigation of the Behavior of a Model-Ⅰ Interface Crack in Piezoelectric Materials by Using the Schmidt Method[J]. Applied Mathematics and Mechanics, 2006, 27(7): 765-774.

## 利用Schmidt方法研究压电材料Ⅰ-型界面裂纹问题

###### 作者简介:周振功(1963- ),河南省镇平县人,教授,博士,博士生导师(联系人.Tel:+86-451-86402396;Fax:+86-451-86402386;E-mail:zhouzhg@hit.edu.cn).
• 中图分类号: O346.53

## Investigation of the Behavior of a Model-Ⅰ Interface Crack in Piezoelectric Materials by Using the Schmidt Method

• 摘要: 在一定的假设条件下，即不考虑界面裂纹尖端处裂纹面的相互叠入现象，研究了压电材料Ⅰ-型界面裂纹问题．利用Fourier变换使问题的求解转换为求解两对对偶积分方程．进而把裂纹表面位移差展开成Jacobi多项式形式来求解对偶积分方程．结果表明裂纹尖端应力场和电位移场的奇异性与均匀材料裂纹问题的奇异性相同．当上下半平面材料相同时，解可以退化而得到其精确解．
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##### 出版历程
• 收稿日期:  2005-01-06
• 修回日期:  2006-03-21
• 刊出日期:  2006-07-15

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