Applied Mathematics and Mechanics

, Volume 32, Issue 12, pp 1525–1540 | Cite as

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

  • Ming-xiang Deng (邓明香)
  • Yong-ping Feng (冯永平)Email author


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.

Key words

two-scale method piezoelectricity periodic structure finite element method homogenization constant 

Chinese Library Classification

O241.82 O242.21 O482.41 

2010 Mathematics Subject Classification

34E13 35Q60 78M10 78M40 


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Copyright information

© Shanghai University and Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Ming-xiang Deng (邓明香)
    • 1
  • Yong-ping Feng (冯永平)
    • 1
    Email author
  1. 1.College of Mathematics and Information ScienceGuangzhou UniversityGuangzhouP. R. China

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