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

被引：0
作者：
Ming-xiang Deng
Yong-ping Feng
机构：
[1] Guangzhou University,College of Mathematics and Information Science
来源：
Applied Mathematics and Mechanics | 2011年 / 32卷
关键词：
two-scale method; piezoelectricity; periodic structure; finite element method; homogenization constant; O241.82; O242.21; O482.41; 34E13; 35Q60; 78M10; 78M40;
D O I：
暂无
中图分类号：
学科分类号：
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：15
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