含椭圆形夹杂的压电体平面应变问题

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

南京航空航天大学航空宇航学院,南京 210016

基金项目: 国家自然科学基金资助项目(50275073;10372044);航空基金资助项目(03B5201)

详细信息

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
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- 被引次数: 0
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

Plane Strain Problem of Piezoelectric Solid With an Elliptic Inclusion

College of Aerospace Engineering, Nanjing University of Aeronautics & Astronautics, Nanjing 210016, P. R. China

摘要

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．
- 椭圆形夹杂 /
- 横观各向同性 /
- 压电体 /
- 复势
Abstract: By using the complex variables function theory,a plane strain electro-elastic analysis was perfor medona transversely isotropic piezoelectric material containing an elliptic elastic inclusion,which is subje cted to a unifor mstress field and a uniform electric displacement loads at infinity.Based on the present finite elementresults and somerelated the oretical solutions,an acceptable conjecture was found that the stress field is constant inside the elastic inclusion.The stress field solutions in the piezoele ctric matrix and the elastic inclusion were obtained in the form of complex potentials based on the impermeable electric bo undary conditions.
- elliptical inclusion /
- transversely isotropic /
- piezo electric /
- complex potential

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参考文献(12)

[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. doi: 10.1093/qjmam/42.4.553
[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. doi: 10.1016/0020-7683(91)90183-G
[3]	Sosa Horacio.Plane problems in piezoelectric media with defects[J].Internat J Solids Structures,1991,28(4):491—505. doi: 10.1016/0020-7683(91)90061-J
[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. doi: 10.1016/j.ijsolstr.2004.06.012
[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. doi: 10.1016/0020-7683(95)00189-1
[9]	Sosa Horacio,Khutoryansky Naum.New developments concerning piezoelectric materials with defects[J].Internat J Solids Structures,1996,33(23):3399—3414. doi: 10.1016/0020-7683(95)00187-5
[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. doi: 10.1016/S0020-7683(98)00120-6
[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. doi: 10.1016/S0020-7683(97)00168-6
[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.