SECOND-ORDER TWO-SCALE ANALYSIS METHOD FOR DYNAMIC THERMO-MECHANICAL PROBLEMS OF COMPOSITE STRUCTURES WITH CYLINDRICAL PERIODICITY

	SECOND-ORDER TWO-SCALE ANALYSIS METHOD FOR DYNAMIC THERMO-MECHANICAL PROBLEMS OF COMPOSITE STRUCTURES WITH CYLINDRICAL PERIODICITY
	Dong, Hao 1; Nie, Yufeng 2; Cui, Junzhi3 ; Yang, Zihao 2; Wang, Ziqiang 4
	2018
发表期刊	INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING
ISSN	1705-5105
卷号	15 期号:6 页码:834-863
摘要	In this paper, a novel second-order two-scale (SOTS) analysis method and corresponding numerical algorithm is developed for dynamic thermo-mechanical problems of composite structures with cylindrical periodicity. The formal SOTS solutions are successfully constructed by the multiscale asymptotic analysis. Then we theoretically explain the necessity of developing the SOTS solutions by the error analysis in the pointwise sense. Futhermore, the convergence result with an explicit rate for the SOTS solutions is obtained. In addition, a SOTS numerical algorithm is presented to effectively solve these multiscale problems. Finally, some numerical examples verify the feasibility and validity of the SOTS numerical algorithm we proposed. This study offers a unified multiscale framework that enables the simulation and analysis of thermo-mechanical coupled behavior of composite structures with cylindrical periodicity.
关键词	Dynamic thermo-mechanical problem multiscale asymptotic analysis composite structure cylindrical periodicity SOTS numerical algorithm
语种	英语
资助项目	Fundamental Research Funds for the Central Universities[JB180703] ; National Natural Science Foundation of China[11471262] ; National Natural Science Foundation of China[11501449] ; National Natural Science Foundation of China[11501140] ; National Basic Research Program of China[2012CB025904] ; State Scholarship Fund of China Scholarship Council[201606290191] ; Center for high performance computing of Northwestern Polytechnical University
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000457213600004
出版者	ISCI-INST SCIENTIFIC COMPUTING & INFORMATION
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/32321
专题	计算数学与科学工程计算研究所
通讯作者	Dong, Hao
作者单位	1.Xidian Univ, Sch Math & Stat, Xian 710071, Shaanxi, Peoples R China 2.Northwestern Polytech Univ, Dept Appl Math, Xian 710129, Shaanxi, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 4.Guizhou Minzu Univ, Sch Data Sci & Informat Engn, Guiyang 550025, Guizhou, Peoples R China
推荐引用方式 GB/T 7714	Dong, Hao,Nie, Yufeng,Cui, Junzhi,et al. SECOND-ORDER TWO-SCALE ANALYSIS METHOD FOR DYNAMIC THERMO-MECHANICAL PROBLEMS OF COMPOSITE STRUCTURES WITH CYLINDRICAL PERIODICITY[J]. INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING,2018,15(6):834-863.
APA	Dong, Hao,Nie, Yufeng,Cui, Junzhi,Yang, Zihao,&Wang, Ziqiang.(2018).SECOND-ORDER TWO-SCALE ANALYSIS METHOD FOR DYNAMIC THERMO-MECHANICAL PROBLEMS OF COMPOSITE STRUCTURES WITH CYLINDRICAL PERIODICITY.INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING,15(6),834-863.
MLA	Dong, Hao,et al."SECOND-ORDER TWO-SCALE ANALYSIS METHOD FOR DYNAMIC THERMO-MECHANICAL PROBLEMS OF COMPOSITE STRUCTURES WITH CYLINDRICAL PERIODICITY".INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING 15.6(2018):834-863.