Second-Order Two-Scale Computational Method for Nonlinear Dynamic Thermo-Mechanical Problems of Composites with Cylindrical Periodicity

doi:10.4208/cicp.OA-2016-0135

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 计算数学与科学工程计算研究所

	Second-Order Two-Scale Computational Method for Nonlinear Dynamic Thermo-Mechanical Problems of Composites with Cylindrical Periodicity
	Dong, Hao 1; Cui, Junzhi2 ; Nie, Yufeng 1; Yang, Zihao 1
刊名	COMMUNICATIONS IN COMPUTATIONAL PHYSICS
	2017-04-01
卷号	21 期号:4 页码:1173-1206
关键词	Second-order two-scale nonlinear dynamic thermo-mechanical problems temperature-dependent properties cylindrical periodicity
ISSN号	1815-2406
DOI	10.4208/cicp.OA-2016-0135
英文摘要	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.
资助项目	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研究方向	Physics
语种	英语
出版者	GLOBAL SCIENCE PRESS
WOS记录号	WOS:000396812700012
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/25191]
专题	计算数学与科学工程计算研究所
通讯作者	Cui, Junzhi
作者单位	1.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
推荐引用方式 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.