KMS Of Academy of mathematics and systems sciences, CAS
| 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
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| 2018 | |
| Source Publication | INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING
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| ISSN | 1705-5105 |
| Volume | 15Issue:6Pages:834-863 |
| Abstract | 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. |
| Keyword | Dynamic thermo-mechanical problem multiscale asymptotic analysis composite structure cylindrical periodicity SOTS numerical algorithm |
| Language | 英语 |
| Funding Project | 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 Research Area | Mathematics |
| WOS Subject | Mathematics, Applied ; Mathematics |
| WOS ID | WOS:000457213600004 |
| Publisher | ISCI-INST SCIENTIFIC COMPUTING & INFORMATION |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/32321 |
| Collection | 计算数学与科学工程计算研究所 |
| Corresponding Author | Dong, Hao |
| Affiliation | 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 |
| 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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