Two-scale finite element method for piezoelectric problem in periodic structure

被引：5
|
作者：
Deng, Ming-xiang [1 ]
Feng, Yong-ping [1 ]
机构：
[1] Guangzhou Univ, Coll Math & Informat Sci, Guangzhou 510006, Guangdong, Peoples R China
来源：
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2011年 / 32卷 / 12期
基金：
高等学校博士学科点专项科研基金; 中国国家自然科学基金;
关键词：
two-scale method; piezoelectricity; periodic structure; finite element method; homogenization constant; COMPOSITES; CERAMICS;
D O I：
10.1007/s10483-011-1521-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The prediction of the mechanical and electric properties of piezoelectric fibre composites has become an active research area in recent years. By means of introducing a boundary layer problem, some new kinds of two-scale finite element methods for solutions to the electric potential and the displacement for composite material in periodic structure under the coupled piezoelectricity are derived. The coupled two-scale relation of the electric potential and the displacement is set up, and some finite element approximate estimates and numerical examples which show the effectiveness of the method are presented.
引用
收藏
页码：1525 / 1540
页数：16
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