全部 标题 作者
关键词 摘要

OALib Journal期刊
ISSN: 2333-9721
费用:99美元

查看量下载量

相关文章

更多...
工程力学  2012 

含椭圆孔压电材料的电弹场

DOI: 10.6052/j.issn.1000-4750.2011.05.0288, PP. 45-50

Keywords: 压电材料,椭圆孔,边界条件,复变函数,电弹场

Full-Text   Cite this paper   Add to My Lib

Abstract:

采用复变函数的方法,研究了含椭圆孔的压电材料在无限远处受力电荷载作用的平面问题。与已有文献不同,通过求解10元一次方程,得到了满足可导通和不可导通电边界条件,孔内和压电材料体内电弹场的通解。以PZT一4压电陶瓷为例,给出了孔内的电场、压电材料体内电弹场沿孔边和坐标轴向的分布情况。得出了以下新的结论:含椭圆孔压电材料的电弹场与边界条件、力电荷载的方向、椭圆孔的形状有关,但在水平方向的拉伸载荷和电位移的作用下,椭圆孔的形状对长半轴处的环向电位移和正应力的最大值没有影响。

References

[1]  Sosa H. Plane problems in piezoelectric media with defects [J]. International Journal of Solids and Structures, 1991, 28: 491―505.
[2]  Sosa H, Khutoryansky N. New developments concerning piezoelectric materials with defects [J]. International Journal of Solids and Structures, 1996, 33: 3399―3414.
[3]  Gao C F, Fan W X. Exact solutions for the plane problem in piezoelectric materials with an elliptic or a crack [J]. International Journal of Solids and Structures, 1999, 36: 2527―2540.
[4]  Dai L C, Guo W L, Wang X. Stress concentration at an elliptic hole in transversely isotropic piezoelectric solids [J]. International Journal of Solids and Structures, 2006, 43: 1818―1831.
[5]  Liu B, Fang D N, Hwang K C. On the effect of remanent polarization on electro-mechanical fields near an elliptic cavity in poled or depolarized piezoelectric ceramics [J]. International Journal of Fracture, 2000, 103(2): 189―204.
[6]  Gao C F, Fan W X. Fundamental solutions for the plane problem in piezoelectric media with an elliptic hole or a crack [J]. Applied Mathematics and Mechanics, 1998, 19(11): 1043―1052.
[7]  Aparicio J, Sosa H, Palma R. Numerical investigations of field-defect interactions in piezoelectric ceramics [J]. International Journal of Solids and Structures, 2007, 44: 4892―4908.
[8]  高存法, 董登科. 含椭圆孔压电材料平面问题的复变函数解[J]. 工程力学, 1998, 15(3): 98―104. 浏览
[9]  Gao Cunfa, Dong Dengke. The complex functions for plane problems of piezoelectric material with an elliptical hole [J]. Engineering Mechanics, 1998, 15(3): 98―104. (in Chinese) 浏览
[10]  Chung M Y, Ting T C T. Piezoelectric solid with an elliptic inclusion or hole [J]. International Journal of Solids and Structures, 1996, 33: 3343―3361.
[11]  Zhang T Y, Qian C F, Pin T. Linear electro-elastic analysis of a cavity or a crack in a piezoelectric material [J]. International Journal of Solids and Structures, 1998, 35: 2121―2149.
[12]  Gao C F. Further study on the generalized 2D problem of an elliptical hole or a crack in piezoelectric media [J]. Mechanics Research Communications, 2000, 27(4): 429―434.
[13]  Lu P, Chen H B. Singular solutions of anisotropic plate with an elliptical hole or a crack [J]. Acta Mechanica Solida Sinica, 2005, 18(2): 130―141.
[14]  Hwu C B. Some explicit expressions of extended Stroh formalism for two-dimensional piezoelectric anisotropic elasticity [J]. International Journal of Solids and Structure, 2008, 45(16): 4460―4473.

Full-Text

Contact Us

service@oalib.com

QQ:3279437679

WhatsApp +8615387084133