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Second-Order Two-Scale Computational Method for Nonlinear Dynamic Thermo-Mechanical Problems of Composites with Cylindrical Periodicity
Dong, Hao1; Cui, Junzhi2; Nie, Yufeng1; Yang, Zihao1
2017-04-01
Source PublicationCOMMUNICATIONS IN COMPUTATIONAL PHYSICS
ISSN1815-2406
Volume21Issue:4Pages:1173-1206
AbstractIn this paper, a novel second-order two-scale (SOTS) computational method is developed for nonlinear dynamic thermo-mechanical problems of composites with cylindrical periodicity. The non-linearities of these multi-scale problems were caused by the temperature-dependent properties of the composites. Firstly, the formal SOTS solutions for these problems are constructed by the multiscale asymptotic analysis. Then we theoretically explain the importance of the SOTS solutions by the error analysis in the pointwise sense. In addition, a SOTS numerical algorithm is proposed in detail to effectively solve these problems. Finally, some numerical examples verify the feasibility and effectiveness of the SOTS numerical algorithm we proposed.
KeywordSecond-order two-scale nonlinear dynamic thermo-mechanical problems temperature-dependent properties cylindrical periodicity
DOI10.4208/cicp.OA-2016-0135
Language英语
Funding ProjectNational Natural Science Foundation of China[11501449] ; National Natural Science Foundation of China[11471262] ; National Basic Research Program of China[2012CB025904] ; Center for high performance computing of Northwestern Polytechnical University
WOS Research AreaPhysics
WOS SubjectPhysics, Mathematical
WOS IDWOS:000396812700012
PublisherGLOBAL SCIENCE PRESS
Citation statistics
Cited Times:5[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/25192
Collection计算数学与科学工程计算研究所
Affiliation1.Northwestern Polytech Univ, Sch Sci, Dept Appl Math, Xian 710129, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Dong, Hao,Cui, Junzhi,Nie, Yufeng,et al. Second-Order Two-Scale Computational Method for Nonlinear Dynamic Thermo-Mechanical Problems of Composites with Cylindrical Periodicity[J]. COMMUNICATIONS IN COMPUTATIONAL PHYSICS,2017,21(4):1173-1206.
APA Dong, Hao,Cui, Junzhi,Nie, Yufeng,&Yang, Zihao.(2017).Second-Order Two-Scale Computational Method for Nonlinear Dynamic Thermo-Mechanical Problems of Composites with Cylindrical Periodicity.COMMUNICATIONS IN COMPUTATIONAL PHYSICS,21(4),1173-1206.
MLA Dong, Hao,et al."Second-Order Two-Scale Computational Method for Nonlinear Dynamic Thermo-Mechanical Problems of Composites with Cylindrical Periodicity".COMMUNICATIONS IN COMPUTATIONAL PHYSICS 21.4(2017):1173-1206.
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