KMS Of Academy of mathematics and systems sciences, CAS
| Multi-scale computational method for dynamic thermo-mechanical performance of heterogeneous shell structures with orthogonal periodic configurations | |
Dong, Hao1; Zheng, Xiaojing2; Cui, Junzhi3 ; Nie, Yufeng4; Yang, Zhiqiang5; Ma, Qiang6
| |
| 2019-09-01 | |
| Source Publication | COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
 |
| ISSN | 0045-7825 |
| Volume | 354Pages:143-180 |
| Abstract | This study presents a novel multi-scale computational method to analyze the dynamic thermo-mechanical performance of heterogeneous shell structures with orthogonal periodic configurations. The heterogeneities of heterogeneous shell structures are taken into account by periodic layouts of unit cells on the microscale in orthogonal curvilinear coordinate system. The new second-order two-scale approximate solutions for these multi-scale problems are constructed based on the multi-scale asymptotic analysis. Furthermore, the error estimates for the second-order two-scale (SOTS) solutions are obtained under some hypotheses. And then, a novel SOTS numerical algorithm based on finite element method (FEM), finite difference method (FDM) and decoupling method is brought forward in detail. Finally, some numerical examples are presented to verify the feasibility and validity of our multi-scale computational method. They also demonstrate that our multi-scale computational method can accurately capture the micro-scale dynamic thermo-mechanical responses in heterogeneous block structure, plate, cylindrical and doubly-curved shallow shells. In this paper, a unified multi-scale computational framework is established for dynamic thermo-mechanical problems of heterogeneous materials and structures with orthogonal periodic configurations. The asymptotic homogenization theory in Cartesian coordinate system and cylindrical coordinate system can be directly obtained based on the results in this paper. (C) 2019 Elsevier B.V. All rights reserved. |
| Keyword | Multi-scale asymptotic analysis Dynamic thermo-mechanical performance Heterogeneous shell structures Orthogonal periodic configurations SOTS numerical algorithm |
| DOI | 10.1016/j.cma.2019.05.022 |
| Language | 英语 |
| Funding Project | China Postdoctoral Science Foundation[2018M643573] ; National Natural Science Foundation of Shaanxi Province[2019JQ-048] ; 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 Natural Science Foundation of China[11801837] ; National Basic Research Program of China[2012CB025904] ; National Basic Research Program of China[2014CB744100] ; Key Technology Research of FRP-Concrete Composite Structure of Northwestern Polytechnical University ; Center for high performance computing of Northwestern Polytechnical University |
| WOS Research Area | Engineering ; Mathematics ; Mechanics |
| WOS Subject | Engineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications ; Mechanics |
| WOS ID | WOS:000474690000007 |
| Publisher | ELSEVIER SCIENCE SA |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/35156 |
| Collection | 计算数学与科学工程计算研究所 |
| Corresponding Author | Dong, Hao; Yang, Zhiqiang |
| Affiliation | 1.Xidian Univ, Sch Math & Stat, Xian 710071, Shaanxi, Peoples R China 2.Xidian Univ, Sch Mechano Elect Engn, Xian 710071, Shaanxi, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China 4.Northwestern Polytech Univ, Sch Nat & Appl Sci, Dept Appl Math, Xian 710129, Shaanxi, Peoples R China 5.Harbin Inst Technol, Dept Astronaut Sci & Mech, Harbin 150001, Heilongjiang, Peoples R China 6.Sichuan Univ, Coll Math, Chengdu 610043, Sichuan, Peoples R China |
| Recommended Citation GB/T 7714 | Dong, Hao,Zheng, Xiaojing,Cui, Junzhi,et al. Multi-scale computational method for dynamic thermo-mechanical performance of heterogeneous shell structures with orthogonal periodic configurations[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING,2019,354:143-180. |
| APA | Dong, Hao,Zheng, Xiaojing,Cui, Junzhi,Nie, Yufeng,Yang, Zhiqiang,&Ma, Qiang.(2019).Multi-scale computational method for dynamic thermo-mechanical performance of heterogeneous shell structures with orthogonal periodic configurations.COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING,354,143-180. |
| MLA | Dong, Hao,et al."Multi-scale computational method for dynamic thermo-mechanical performance of heterogeneous shell structures with orthogonal periodic configurations".COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING 354(2019):143-180. |
| Files in This Item: | There are no files associated with this item. | |||||
Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.
Edit Comment