AN EFFICIENT NUMERICAL METHOD FOR CAVITATION IN NONLINEAR ELASTICITY

doi:10.1142/S0218202511005556

	AN EFFICIENT NUMERICAL METHOD FOR CAVITATION IN NONLINEAR ELASTICITY
	Xu, Xianmin1 ; Henao, Duvan 2
	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.