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An ultra-accurate hybrid smoothed finite element method for piezoelectric problem
Li, Eric ; He, Z. C. ; Chen, L. ; Li, Bing ; Xu, Xu ; Liu, G. R.
刊名边界元法工程分析
2015
关键词Numerical methods Hybrid smoothed finite element method (HS-FEM) Meshfree method Piezoelectricity METHOD LC-PIM SOLID MECHANICS PROBLEMS ELASTICITY PROBLEMS VIBRATION CONTROL ALPHA-FEM SIMULATION BEAM
DOI10.1016/j.enganabound.2014.08.005
英文摘要An ultra-accurate hybrid smoothed finite element method (HS-FEM) is presented for the analysis of piezoelectric structures, in which the electrostatic equations governing piezoelectric problem are solved numerically with simplest triangular elements in 2D and tetrahedral elements in 3D. In the present method, the strain field is assumed to be the weighted average between compatible strains from finite element method (FEM) and smoothed strains from node-based smoothed finite element method (NS-FEM). Numerical results demonstrate that the proposed method possesses a novel bound solution in terms of strain energy and eigenfrequencies, which is very important for safety and reliability assessments of piezoelectric structural properties. In addition, the numerical results obtained from HS-FEM are much more accurate than the standard finite element method using the same of nodes. Furthermore, the computational efficiency of HS-FEM is much better than the FEM. Crown Copyright (C) 2014 Published by Elsevier Ltd. All rights reserved.; Engineering, Multidisciplinary; Mathematics, Interdisciplinary Applications; SCI(E); EI; 0; ARTICLE; acessg2012@gmail.com; 188-197; 50
语种英语
内容类型期刊论文
源URL[http://ir.pku.edu.cn/handle/20.500.11897/206846]  
专题工学院
推荐引用方式
GB/T 7714
Li, Eric,He, Z. C.,Chen, L.,et al. An ultra-accurate hybrid smoothed finite element method for piezoelectric problem[J]. 边界元法工程分析,2015.
APA Li, Eric,He, Z. C.,Chen, L.,Li, Bing,Xu, Xu,&Liu, G. R..(2015).An ultra-accurate hybrid smoothed finite element method for piezoelectric problem.边界元法工程分析.
MLA Li, Eric,et al."An ultra-accurate hybrid smoothed finite element method for piezoelectric problem".边界元法工程分析 (2015).
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