周期结构区域中压电问题的双尺度有限元方法

邓明香; 冯永平

doi:10.3879/j.issn.1000-0887.2011.12.004

周期结构区域中压电问题的双尺度有限元方法

doi: 10.3879/j.issn.1000-0887.2011.12.004

广州大学数学与信息科学学院, 广州 510006

基金项目: 国家自然科学基金资助项目(10801042;11171257);教育部博士点基金资助项目(20104410120001)

详细信息

作者简介:
邓明香(1974- ),女,甘肃秦安人,讲师,硕士(E-mail:dmxmath@163.com);冯永平,男,副教授,博士(联系人.E-mail:ffyypp000@yahoo.com;ffyyppmath@163.com).

中图分类号: O241.82;O241.21;O482.41
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出版历程
- 收稿日期: 2011-02-21
- 修回日期: 2011-09-28
- 刊出日期: 2011-12-15

Two-Scale Finite Element Method for Piezoelectric Problem in Periodic Structure

College of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, P. R. China

摘要

摘要: 近年来纤维压电复合材料的力电性能预测已发展为一个重要的研究领域．对力电耦合周期结构的复合材料问题，通过引入匹配的边界层得到了电势与位移解的新型双尺度有限元计算方法，建立了电势与位移的双尺度耦合关系，分析了双尺度有限元解的误差.数值算例验证了方法的有效性．
- 双尺度方法 /
- 压电 /
- 周期结构 /
- 有限元方法 /
- 均匀化常数
Abstract: The prediction of the mechanical and electric properties of piezoelectric fibre composites had become an active research area in recent years. By means of introducing a boundary layer problem, some new kinds of two-scale finite element method for solutions of the electric potential and the displacement for composite material in periodic structure under coupled piezoelectricity were derived. The coupled twoscale relation of the electric potential and the displacement was set up. And some finite element approximate estimates and numerical examples which show the effectiveness of the method are presented.
- two-scale method /
- piezoelectricity, periodic structure /
- finite element method /
- homogenization constant /

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参考文献(19)

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