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 |
DOI | 10.1016/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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