Multiscale Computational Method for Dynamic Thermo-Mechanical Problems of Composite Structures with Diverse Periodic Configurations in Different Subdomains

doi:10.1007/s10915-018-00904-z

	Multiscale Computational Method for Dynamic Thermo-Mechanical Problems of Composite Structures with Diverse Periodic Configurations in Different Subdomains
	Dong, Hao 5; Zheng, Xiaojing 4; Cui, Junzhi 3; Nie, Yufeng 2; Yang, Zhiqiang 1; Yang, Zihao 2
刊名	JOURNAL OF SCIENTIFIC COMPUTING
	2019-06-01
卷号	79 期号:3 页码:1630-1666
关键词	Dynamic thermo-mechanical problems Multiscale asymptotic analysis Diverse periodic configurations Error estimate SOTS numerical algorithm
ISSN号	0885-7474
DOI	10.1007/s10915-018-00904-z
英文摘要	In this paper, a novel multiscale computational method is presented to simulate and analyze dynamic thermo-mechanical problems of composite structures with diverse periodic configurations in different subdomains. In these composite structures, thermo-mechanical coupled behaviors at microscale have an important impact on the macroscopic displacement and temperature fields. Firstly, the novel second-order two-scale (SOTS) solutions for these multiscale problems are successfully obtained based on multiscale asymptotic analysis. Then, the error analysis in the pointwise sense is given to illustrate the importance of developing the SOTS solutions. Furthermore, the error estimate for the SOTS approximate solutions in the integral sense is presented. In addition, a SOTS numerical algorithm is proposed to effectively solve these problems based on finite element method, finite difference method and decoupling method. Finally, some numerical examples are shown, which demonstrate the feasibility and effectiveness of the SOTS numerical algorithm we proposed. In this paper, a unified two-scale computational framework is established for dynamic thermo-mechanical problems of composite structures with diverse periodic configurations in different subdomains.
资助项目	Fundamental Research Funds for the Central Universities[JB180703] ; National Natural Science Foundation of China[51739007] ; National Natural Science Foundation of China[11471262] ; National Natural Science Foundation of China[11501449] ; National Basic Research Program of China[2012CB025904] ; State Scholarship Fund of China Scholarship Council[201606290191]
WOS研究方向	Mathematics
语种	英语
出版者	SPRINGER/PLENUM PUBLISHERS
WOS记录号	WOS:000466934400011
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/34907]
专题	中国科学院数学与系统科学研究院
通讯作者	Dong, Hao; Yang, Zhiqiang
作者单位	1.Harbin Inst Technol, Dept Astronaut Sci & Mech, Harbin 150001, Heilongjiang, Peoples R China 2.Northwestern Polytech Univ, Dept Appl Math, Sch Sci, Xian 710129, Shaanxi, Peoples R China 3.Chinese Acad Sci, LSEC, ICMSEC, Acad Math & Syst Sci, Beijing 100190, Peoples R China 4.Xidian Univ, Sch Mechanoelect Engn, Xian 710071, Shaanxi, Peoples R China 5.Xidian Univ, Sch Math & Stat, Xian 710071, Shaanxi, Peoples R China
推荐引用方式 GB/T 7714	Dong, Hao,Zheng, Xiaojing,Cui, Junzhi,et al. Multiscale Computational Method for Dynamic Thermo-Mechanical Problems of Composite Structures with Diverse Periodic Configurations in Different Subdomains[J]. JOURNAL OF SCIENTIFIC COMPUTING,2019,79(3):1630-1666.
APA	Dong, Hao,Zheng, Xiaojing,Cui, Junzhi,Nie, Yufeng,Yang, Zhiqiang,&Yang, Zihao.(2019).Multiscale Computational Method for Dynamic Thermo-Mechanical Problems of Composite Structures with Diverse Periodic Configurations in Different Subdomains.JOURNAL OF SCIENTIFIC COMPUTING,79(3),1630-1666.
MLA	Dong, Hao,et al."Multiscale Computational Method for Dynamic Thermo-Mechanical Problems of Composite Structures with Diverse Periodic Configurations in Different Subdomains".JOURNAL OF SCIENTIFIC COMPUTING 79.3(2019):1630-1666.