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.
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页码：1525 / 1540
页数：16
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