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 AN EFFICIENT NUMERICAL METHOD FOR CAVITATION IN NONLINEAR ELASTICITY Xu, Xianmin1; Henao, Duvan2 2011-08-01 Source Publication MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES ISSN 0218-2025 Volume 21Issue:8Pages:1733-1760 Abstract 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. Keyword Cavitation nonconforming FEMs gradient flow DOI 10.1142/S0218202511005556 Language 英语 Funding Project State Scholarship Fund of China ; State Key Laboratory of Scientific and Engineering Computing of China WOS Research Area Mathematics WOS Subject Mathematics, Applied WOS ID WOS:000294119500006 Publisher WORLD SCIENTIFIC PUBL CO PTE LTD Citation statistics Document Type 期刊论文 Identifier http://ir.amss.ac.cn/handle/2S8OKBNM/11556 Collection 计算数学与科学工程计算研究所 Corresponding Author Xu, Xianmin Affiliation 1.Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, Beijing 100190, Peoples R China2.Univ Paris 06, CNRS, UMR 7598, Lab Jacques Louis Lions, F-75252 Paris 05, France Recommended CitationGB/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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