KMS Of Academy of mathematics and systems sciences, CAS
AN EFFICIENT NUMERICAL METHOD FOR CAVITATION IN NONLINEAR ELASTICITY | |
Xu, Xianmin1; Henao, Duvan2 | |
2011-08-01 | |
发表期刊 | MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES |
ISSN | 0218-2025 |
卷号 | 21期号:8页码:1733-1760 |
摘要 | This paper is concerned with the numerical computation of cavitation in nonlinear elasticity. The Crouzeix-Raviart nonconforming finite element method is shown to prevent the degeneration of the mesh provoked by the conventional finite element approximation of this problem. Upon the addition of a suitable stabilizing term to the elastic energy, the method is used to solve cavitation problems in both radially symmetric and non-radially symmetric settings. While the radially symmetric examples serve to illustrate the efficiency of the method, and for validation purposes, the experiments with non-centered and multiple cavities (carried out for the first time) yield novel observations of situations potentially leading to void coalescence. |
关键词 | Cavitation nonconforming FEMs gradient flow |
DOI | 10.1142/S0218202511005556 |
语种 | 英语 |
资助项目 | State Scholarship Fund of China ; State Key Laboratory of Scientific and Engineering Computing of China |
WOS研究方向 | Mathematics |
WOS类目 | Mathematics, Applied |
WOS记录号 | WOS:000294119500006 |
出版者 | WORLD SCIENTIFIC PUBL CO PTE LTD |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/11556 |
专题 | 计算数学与科学工程计算研究所 |
通讯作者 | Xu, Xianmin |
作者单位 | 1.Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, Beijing 100190, Peoples R China 2.Univ Paris 06, CNRS, UMR 7598, Lab Jacques Louis Lions, F-75252 Paris 05, France |
推荐引用方式 GB/T 7714 | Xu, Xianmin,Henao, Duvan. AN EFFICIENT NUMERICAL METHOD FOR CAVITATION IN NONLINEAR ELASTICITY[J]. MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES,2011,21(8):1733-1760. |
APA | Xu, Xianmin,&Henao, Duvan.(2011).AN EFFICIENT NUMERICAL METHOD FOR CAVITATION IN NONLINEAR ELASTICITY.MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES,21(8),1733-1760. |
MLA | Xu, Xianmin,et al."AN EFFICIENT NUMERICAL METHOD FOR CAVITATION IN NONLINEAR ELASTICITY".MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES 21.8(2011):1733-1760. |
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