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EDDY CURRENT MODEL FOR NONDESTRUCTIVE EVALUATION WITH THIN CRACKS

文献类型：期刊论文

作者Jiang, Xue1; Li, Peijun2; Zheng, Weiying3
刊名SIAM JOURNAL ON SCIENTIFIC COMPUTING
出版日期2016
卷号38期号:2页码:A973-A996
关键词eddy current problem Maxwell's equations finite element method nondestructive evaluation thin crack
ISSN号1064-8275
DOI10.1137/15M1015492
英文摘要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.
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
语种英语
WOS记录号WOS:000375484800016
出版者SIAM PUBLICATIONS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/22765]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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