Applied Mathematics and Mechanics (English Edition) ›› 2011, Vol. 32 ›› Issue (12): 1525-1540.doi: https://doi.org/34E13,35Q60,78M10,78M40

• Articles • 上一篇    下一篇

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

邓明香 冯永平   

  1. College of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, P. R. China
  • 收稿日期:2011-02-20 修回日期:2011-09-28 出版日期:2011-12-09 发布日期:2011-12-01

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

 DENG Ming-Xiang, FENG Yong-Ping   

  1. College of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, P. R. China
  • Received:2011-02-20 Revised:2011-09-28 Online:2011-12-09 Published:2011-12-01

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.

Abstract: 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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