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

doi:10.4208/cicp.OA-2016-0135

	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
	2017-04-01
发表期刊	COMMUNICATIONS IN COMPUTATIONAL PHYSICS
ISSN	1815-2406
卷号	21 期号:4 页码:1173-1206
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.
关键词	Second-order two-scale nonlinear dynamic thermo-mechanical problems temperature-dependent properties cylindrical periodicity
DOI	10.4208/cicp.OA-2016-0135
语种	英语
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
WOS类目	Physics, Mathematical
WOS记录号	WOS:000396812700012
出版者	GLOBAL SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/25192
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.