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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 Publication COMMUNICATIONS IN COMPUTATIONAL PHYSICS ISSN 1815-2406 Volume 21Issue:4Pages:1173-1206 Abstract In 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. Keyword Second-order two-scale nonlinear dynamic thermo-mechanical problems temperature-dependent properties cylindrical periodicity DOI 10.4208/cicp.OA-2016-0135 Language 英语 Funding Project National 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 Area Physics WOS Subject Physics, Mathematical WOS ID WOS:000396812700012 Publisher GLOBAL SCIENCE PRESS Citation statistics Document Type 期刊论文 Identifier http://ir.amss.ac.cn/handle/2S8OKBNM/25192 Collection 计算数学与科学工程计算研究所 Corresponding Author Cui, Junzhi Affiliation 1.Northwestern Polytech Univ, Sch Sci, Dept Appl Math, Xian 710129, Peoples R China2.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China Recommended CitationGB/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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