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 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 China2.Xidian Univ, Sch Mechano Elect Engn, Xian 710071, Shaanxi, Peoples R China3.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China4.Northwestern Polytech Univ, Sch Nat & Appl Sci, Dept Appl Math, Xian 710129, Shaanxi, Peoples R China5.Harbin Inst Technol, Dept Astronaut Sci & Mech, Harbin 150001, Heilongjiang, Peoples R China6.Sichuan Univ, Coll Math, Chengdu 610043, Sichuan, Peoples R China Recommended CitationGB/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.
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