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SECOND-ORDER TWO-SCALE ANALYSIS METHOD FOR DYNAMIC THERMO-MECHANICAL PROBLEMS OF COMPOSITE STRUCTURES WITH CYLINDRICAL PERIODICITY
Dong, Hao1; Nie, Yufeng2; Cui, Junzhi3; Yang, Zihao2; Wang, Ziqiang4
2018
Source PublicationINTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING
ISSN1705-5105
Volume15Issue:6Pages:834-863
AbstractIn 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.
KeywordDynamic thermo-mechanical problem multiscale asymptotic analysis composite structure cylindrical periodicity SOTS numerical algorithm
Language英语
Funding ProjectFundamental 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 Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000457213600004
PublisherISCI-INST SCIENTIFIC COMPUTING & INFORMATION
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Cited Times:1[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/32321
Collection计算数学与科学工程计算研究所
Affiliation1.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
Recommended Citation
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.
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