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：

中国国家自然科学基金; 高等学校博士学科点专项科研基金;

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

页码：1525 / 1540

页数：16

共 50 条

[31] Two-scale finite element method for nonselfadjoint elliptic problems with rapidly oscillatory coefficients
Chen, JR
Cul, JZ
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2004, 150 (02) : 585 - 601
[32] Two-scale finite element discretizations for partial differential equations
Liu, Fang
Zhou, Aihui
[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS, 2006, 24 (03) : 373 - 392
[33] POSTPROCESSED TWO-SCALE FINITE ELEMENT DISCRETIZATIONS, PART I
Liu, Fang
Stynes, Martin
Zhou, Aihui
[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS, 2011, 49 (05) : 1947 - 1971
[34] Second-order two-scale computational method for ageing linear viscoelastic problem in composite materials with periodic structure
Yang Zhang
Junzhi Cui
Yufeng Nie
[J]. Applied Mathematics and Mechanics, 2016, 37 : 253 - 264
[35] Second-order two-scale computational method for ageing linear viscoelastic problem in composite materials with periodic structure
Zhang, Yang
Cui, Junzhi
Nie, Yufeng
[J]. APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2016, 37 (02) : 253 - 264
[36] Second-order two-scale computational method for ageing linear viscoelastic problem in composite materials with periodic structure
Yang ZHANG
Junzhi CUI
Yufeng NIE
[J]. Applied Mathematics and Mechanics(English Edition), 2016, 37 (02) : 253 - 264
[37] Second-order two-scale finite element algorithm for dynamic thermo-mechanical coupling problem in symmetric structure
Li, Zhi-Hui
Ma, Qiang
Cui, Junzhi
[J]. JOURNAL OF COMPUTATIONAL PHYSICS, 2016, 314 : 712 - 748
[38] A two-scale failure model for heterogeneous materials: numerical implementation based on the finite element method
Toro, S.
Sanchez, P. J.
Huespe, A. E.
Giusti, S. M.
Blanco, P. J.
Feijoo, R. A.
[J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2014, 97 (05) : 313 - 351
[39] A two-scale generalized finite element method for parallel simulations of spot welds in large structures
Li, H.
Duarte, C. A.
[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2018, 337 : 28 - 65
[40] Two-scale composite finite element method for parabolic problems with smooth and nonsmooth initial data
Tamal Pramanick
Rajen Kumar Sinha
[J]. Journal of Applied Mathematics and Computing, 2018, 58 : 469 - 501

← 1 2 3 4 5 →