## 留言板

 引用本文: 戴隆超, 郭万林, 佘崇民. 含椭圆形夹杂的压电体平面应变问题[J]. 应用数学和力学, 2005, 26(12): 1463-1469.
DAI Long-chao, GUO Wan-lin, SHE Chong-min. Plane Strain Problem of Piezoelectric Solid With an Elliptic Inclusion[J]. Applied Mathematics and Mechanics, 2005, 26(12): 1463-1469.
 Citation: DAI Long-chao, GUO Wan-lin, SHE Chong-min. Plane Strain Problem of Piezoelectric Solid With an Elliptic Inclusion[J]. Applied Mathematics and Mechanics, 2005, 26(12): 1463-1469.

## 含椭圆形夹杂的压电体平面应变问题

###### 作者简介:郭万林(1960- ),教授,博士(联系人.Tel:+86-25-84895827;E-mail:wlguo@nuaa.edu.cn)
• 中图分类号: O343.1

## Plane Strain Problem of Piezoelectric Solid With an Elliptic Inclusion

• 摘要: 利用复变函数理论,对在无限远处均匀应力和电位移载荷作用下的含有椭圆形弹性夹杂的横观各向同性压电材料,作了力电分析．在该文有限元结果和前人相关理论解的基础上，提了出一个可接受的认为弹性夹杂体内的应力场为常应力场的假设．在采用了不导通电边界条件之后，获得了以复势形式表示的压电基体的和弹性夹杂体内部的应力场解．
•  [1] Hwu Chyanbin,Ting T C T.Two-dimensional problems of the anisotropic elastic solid with an elliptic inclusion[J].Q J I Mech Appl Math,1989,42(4):553—572. [2] Ting T C T,YAN Gong-pu.The anisotropic elastic hole or rigid inclusion[J].Internat J Solids Structures,1991,27(15):1879—1894. [3] Sosa Horacio.Plane problems in piezoelectric media with defects[J].Internat J Solids Structures,1991,28(4):491—505. [4] 戴隆超,郭万林.压电体椭圆孔边的力学分析[J].力学学报,2004,36(2):224—228. [5] 邓其林,王自强.压电材料椭圆切口的力学分析[J].力学学报,2002，34(1):109—115. [6] WANG Xin-wei,ZHOU Yong,ZHOU Wan-lin.A novel hybrid finite element with a hole analysis of plane piezoelectric medium with defects[J].Internat J Solids Structures,2004,41(24/25):7111—7128. [7] 周勇,王鑫伟.压电材料平面裂纹尖端场的杂交应力有限元分析[J].力学学报,2004,36(3):354—358. [8] Chung M Y,Ting T C T.Piezoelectric solid with an elliptic inclusion or hole[J].Internat J Solids Structures,1996,33(23):3343—3361. [9] Sosa Horacio,Khutoryansky Naum.New developments concerning piezoelectric materials with defects[J].Internat J Solids Structures,1996,33(23):3399—3414. [10] GAO Cun-fa,FAN Wei-xun.Exact solutions for the plane problem in piezoelectric materials with an elliptic or a crack[J].Internat J Solids Structures,1999,36(17):2527—2540. [11] ZHANG Tong-yi,QIAN Cai-fu,TONG Pin.Linear electro-elastic analysis of a cavity or a crack in a piezoelectric material[J].Internat J Solids Structures,1998,35(17):2121—2149. [12] 列赫尼茨基 S G.各向异性板[M].胡海昌 译.北京:科学出版社,1963,168—174.
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##### 出版历程
• 收稿日期:  2003-11-18
• 修回日期:  2005-08-17
• 刊出日期:  2005-12-15

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