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  2014 

含椭圆型孔洞有限大电致伸缩材料板的二维问题

DOI: 10.6052/j.issn.1000-4750.2012.11.0906, PP. 49-55

Keywords: 电致伸缩材料,Faber级数,保角映射,椭圆孔洞,电载荷,最小二乘边界配置法

Full-Text   Cite this paper   Add to My Lib

Abstract:

基于电致伸缩材料的基本方程,该文采用Faber级数方法研究了含有椭圆型孔洞的有限大电致伸缩材料板在受到电载荷作用下的二维问题。采用各向同性体平面理论中的复势方法,以Faber级数、保角映射及最小二乘边界配置技术为工具,提出了含有单个椭圆孔的有限大电致伸缩材料板在电载荷作用下的级数解,详细讨论了板的尺寸、孔洞的尺寸、孔洞的分布以及洞内的电场对于孔边应力的影响规律。最后通过几组数值算例,讨论了各种参数的变化对孔周应力集中的影响,并就特殊情况与文献中的一些结果进行了比较,结果表明最小二乘边界配置法具有精度高、收敛速度快等优点。

References

[1]  Uchino K. Electrostrictive actuators: Materials and applications [J]. American Ceramic Society Bulletin, 1986, 65(4): 647-652.
[2]  Smith T E, Warren W E. Some problems in two-dimensional electrostriction [J]. Journal of Mathematical Physics, 1968, 45(2): 45-51.
[3]  McMeeking R M. On mechanical stresses at cracks in dielectrics with application to dielectric breakdown [J]. Journal of Applied Physics, 1987, 62(8): 3116-3122.
[4]  McMeeking R M. Electrostrictive stresses near crack-like flaws [J]. Journal of Applied Mathematics and Physics, 1989, 40(5): 615-627.
[5]  蒋泉. 电致伸缩材料中二维问题的应力分析[D]. 上海: 上海交通大学, 2005. Jiang Quan. Two dimensional stress analysis in electrostrictive materials [D]. Shanghai: Shanghai Jiaotong University, 2005. (in Chinese)
[6]  Gao C F, Mai Y W, Zhang N. Solution of a crack in an electrostrictive solid [J]. International Journal of Solids and Structures, 2010, 47(3): 444-453.
[7]  Gao C F, Mai Y W, Zhang N. Solution of collinear cracks in an electrostrictive solid [J]. Philosophical Magazine, 2010, 90(10): 1245-1262.
[8]  Jiang Q, Kuang Z B. Stress analysis in two dimensional electrostrictive material with an elliptic rigid conductor [J]. European Journal of Mechanics A-Solids, 2004, 23(6): 945-956.
[9]  Kuang Z B. Some variational principles in elastic dielectric and elastic magnetic materials [J]. European Journal of Mechanics A-Solids, 2008, 27(3): 504-514.
[10]  郭树祥. 多部位损伤结构的剩余强度研究[D]. 南京: 南京航空航天大学, 2002. Guo Shuxiang. The residual strength study of multiple-site damage [D]. Nanjing: Nanjing University of Aeronautics and Astronautics, 2002. (in Chinese)
[11]  周博, 谢东来, 张宪海. MATLAB科学计算[M]. 北京: 机械工业出版社, 2010: 57-98. Zhou Bo, Xie Donglai, Zhang Xianhai. Scientific calculation of MATLAB [M]. Beijing: Machinery Industry Press, 2010: 57-98. (in Chinese)

Full-Text

Contact Us

service@oalib.com

QQ:3279437679

WhatsApp +8615387084133