EDDY CURRENT MODEL FOR NONDESTRUCTIVE EVALUATION WITH THIN CRACKS

doi:10.1137/15M1015492

	EDDY CURRENT MODEL FOR NONDESTRUCTIVE EVALUATION WITH THIN CRACKS
	Jiang, Xue 1; Li, Peijun 2; Zheng, Weiying3
	2016
发表期刊	SIAM JOURNAL ON SCIENTIFIC COMPUTING
ISSN	1064-8275
卷号	38 期号:2 页码:A973-A996
摘要	In this paper, we propose an approximate eddy current model for nondestructive evaluation. Interior cracks of large steel structures are very thin compared with the characteristic length of the system. Numerical methods usually necessitate very fine meshes to characterize the small thickness of cracks, and thus yield a very large number of degrees of freedom. The proposed model neglects the thickness of cracks and treats them as interior surfaces. The existence and uniqueness are established for the approximate solution upon introducing proper gauge conditions. The convergence of the approximate solution to the solution of the original eddy current problem is proved as the thickness of cracks tends to zero, and an error estimate is presented for homogeneous conducting materials. A coupled finite element method is proposed to solve the approximate problem. The well-posedness and the error estimate are proved for the discrete solution. Numerical experiments are carried out for engineering benchmark problems to validate the approximate eddy current model and to demonstrate the efficiency of the finite element method.
关键词	eddy current problem Maxwell's equations finite element method nondestructive evaluation thin crack
DOI	10.1137/15M1015492
语种	英语
资助项目	China NSF[11401040] ; China NSF[11171334] ; China NSF[91430215] ; Fundamental Research Funds for the Central Universities[24820152015RC17] ; NSF[DMS-1151308] ; Funds for Creative Research Groups of China[11321061] ; National Magnetic Confinement Fusion Science Program[2015GB110003]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000375484800016
出版者	SIAM PUBLICATIONS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/22766
专题	计算数学与科学工程计算研究所
通讯作者	Jiang, Xue; Li, Peijun; Zheng, Weiying
作者单位	1.Beijing Univ Posts & Telecommun, Sch Sci, Beijing 100876, Peoples R China 2.Purdue Univ, Dept Math, W Lafayette, IN 47907 USA 3.Chinese Acad Sci, NCMIS, LSEC, Acad Math & Syst Sci,ICMSEC, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Jiang, Xue,Li, Peijun,Zheng, Weiying. EDDY CURRENT MODEL FOR NONDESTRUCTIVE EVALUATION WITH THIN CRACKS[J]. SIAM JOURNAL ON SCIENTIFIC COMPUTING,2016,38(2):A973-A996.
APA	Jiang, Xue,Li, Peijun,&Zheng, Weiying.(2016).EDDY CURRENT MODEL FOR NONDESTRUCTIVE EVALUATION WITH THIN CRACKS.SIAM JOURNAL ON SCIENTIFIC COMPUTING,38(2),A973-A996.
MLA	Jiang, Xue,et al."EDDY CURRENT MODEL FOR NONDESTRUCTIVE EVALUATION WITH THIN CRACKS".SIAM JOURNAL ON SCIENTIFIC COMPUTING 38.2(2016):A973-A996.