KMS Of Academy of mathematics and systems sciences, CAS
| 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 Publication | JOURNAL OF SCIENTIFIC COMPUTING
 |
| ISSN | 0885-7474 |
| Volume | 79Issue:3Pages:1630-1666 |
| Abstract | 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. |
| Keyword | Dynamic thermo-mechanical problems Multiscale asymptotic analysis Diverse periodic configurations Error estimate SOTS numerical algorithm |
| DOI | 10.1007/s10915-018-00904-z |
| Language | 英语 |
| Funding Project | 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 Research Area | Mathematics |
| WOS Subject | Mathematics, Applied |
| WOS ID | WOS:000466934400011 |
| Publisher | SPRINGER/PLENUM PUBLISHERS |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/34908 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Dong, Hao; Yang, Zhiqiang |
| Affiliation | 1.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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