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

被引：0
|
作者：
邓明香 [1 ]
冯永平 [1 ]
机构：
[1] College of Mathematics and Information Science, Guangzhou University
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;
D O I：
暂无
中图分类号：
TB332 [非金属复合材料]; O241.82 [偏微分方程的数值解法];
学科分类号：
070102 ; 0805 ; 080502 ;
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 struc- ture 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 es- timates and numerical examples which show the effectiveness of the method are presented.
引用
收藏
页码：1525 / 1540
页数：16
相关论文
共 50 条
  • [1] Two-scale finite element method for piezoelectric problem in periodic structure
    Ming-xiang Deng
    Yong-ping Feng
    [J]. Applied Mathematics and Mechanics, 2011, 32 : 1525 - 1540
  • [2] Two-scale finite element method for piezoelectric problem in periodic structure
    Deng, Ming-xiang
    Feng, Yong-ping
    [J]. APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2011, 32 (12) : 1525 - 1540
  • [3] Two-scale Finite Element Computation for Piezoelectric Problem in Periodic Perforated Domain
    Feng Yongping
    Yao Zhengan
    Deng Mingxiang
    [J]. ISCM II AND EPMESC XII, PTS 1 AND 2, 2010, 1233 : 1094 - +
  • [4] Two-scale Asymptotic Expansions for Piezoelectric Problem in Periodic Structure of Composites
    Feng Yongping
    Deng Mingxiang
    [J]. ADVANCES IN BUILDING MATERIALS, PTS 1-3, 2011, 261-263 : 918 - 922
  • [5] The two-scale finite element computation for thermoelastic problem in periodic perforated domain
    Feng Yong-Ping
    Cui Jun-Zhi
    Deng Ming-Xiang
    [J]. ACTA PHYSICA SINICA, 2009, 58 (06) : S327 - S337
  • [6] Higher order two-scale finite element error analysis for thermoelastic problem in quasi-periodic perforated structure
    Deng, Mingxiang
    Feng, Yongping
    [J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS C, 2017, 28 (07):
  • [7] Two-scale finite element analysis of heterogeneous solids with periodic microstructures
    Matsui, K
    Terada, K
    Yuge, K
    [J]. COMPUTERS & STRUCTURES, 2004, 82 (7-8) : 593 - 606
  • [8] Subscales on the element boundaries in the variational two-scale finite element method
    Codina, Ramon
    Principe, Javier
    Baiges, Joan
    [J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2009, 198 (5-8) : 838 - 852
  • [9] An Augmented Two-Scale Finite Element Method for Eigenvalue Problems
    Dai, Xiaoying
    Du, Yunyun
    Liu, Fang
    Zhou, Aihui
    [J]. COMMUNICATIONS ON APPLIED MATHEMATICS AND COMPUTATION, 2024,
  • [10] TWO-SCALE ASYMPTOTIC COMPUTATION FOR PIEZOELECTRIC PROBLEM IN PERFORATED STRUCTURE COMPOSITES
    Feng, Y. P.
    Deng, M. X.
    [J]. ADVANCES IN HETEROGENEOUS MATERIAL MECHANICS 2011, 2011, : 1015 - 1018
12345