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Multiscale Computational Method for Dynamic Thermo-Mechanical Problems of Composite Structures with Diverse Periodic Configurations in Different Subdomains
Dong, Hao1; Zheng, Xiaojing2; Cui, Junzhi3; Nie, Yufeng4; Yang, Zhiqiang5; Yang, Zihao4
2019-06-01
Source PublicationJOURNAL OF SCIENTIFIC COMPUTING
ISSN0885-7474
Volume79Issue:3Pages:1630-1666
AbstractIn 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.
KeywordDynamic thermo-mechanical problems Multiscale asymptotic analysis Diverse periodic configurations Error estimate SOTS numerical algorithm
DOI10.1007/s10915-018-00904-z
Language英语
Funding ProjectFundamental 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 Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000466934400011
PublisherSPRINGER/PLENUM PUBLISHERS
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/34908
Collection中国科学院数学与系统科学研究院
Corresponding AuthorDong, Hao; Yang, Zhiqiang
Affiliation1.Xidian Univ, Sch Math & Stat, Xian 710071, Shaanxi, Peoples R China
2.Xidian Univ, Sch Mechanoelect Engn, Xian 710071, Shaanxi, Peoples R China
3.Chinese Acad Sci, LSEC, ICMSEC, Acad Math & Syst Sci, Beijing 100190, Peoples R China
4.Northwestern Polytech Univ, Dept Appl Math, Sch Sci, Xian 710129, Shaanxi, Peoples R China
5.Harbin Inst Technol, Dept Astronaut Sci & Mech, Harbin 150001, Heilongjiang, Peoples R China
Recommended Citation
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.
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