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 High-order three-scale computational method for dynamic thermo-mechanical problems of composite structures with multiple spatial scales Dong, Hao1; Zheng, Xiaojing2; Cui, Junzhi3; Nie, Yufeng4; Yang, Zhiqiang5; Yang, Zihao4 2019-09-01 Source Publication INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES ISSN 0020-7683 Volume 169Pages:95-121 Abstract In this paper, a novel high-order three-scale (HOTS) computational method is presented to analyze the dynamic thermo-mechanical performance of composite structures with multiple spatial scales. The heterogeneities of composite structures are taken into account by periodic distributions of representative unit cells on the mesoscale and microscale. By virtue of multiscale asymptotic analysis, a new unified micro-meso-macro HOTS approximate solutions are successfully constructed for these multiscale problems. Two classes of auxiliary cell functions are established on the mesoscale and microscale, respectively. Also, two kinds of equivalent material parameters are calculated by up-scaling procedure on the mesoscale and microscale, and the homogenization problems are subsequently defined on global structure. Then, the comparisons of approximate performance are obtained in the pointwise sense for the conventional two-scale solutions, low-order three-scale (LOTS) solutions and HOTS solutions, which illustrate the necessity of developing HOTS solutions for simulating the dynamic thermo-mechanical performances of composite structures with multiple spatial scales. Furthermore, the corresponding HOTS numerical algorithm based on finite element method (FEM) and Finite difference method (FDM) is brought forward in details. Finally, some numerical examples are reported to demonstrate the usability of our HOTS computational method to simulate the dynamic thermo-mechanical behaviors of composite structures with multiple spatial scales. This study offers a unified three-scale computational framework that enables the simulation and analysis of dynamic thermo-mechanical problems of composite structures with multiple spatial scales. (C) 2019 Elsevier Ltd. All rights reserved. Keyword Multiscale asymptotic analysis Dynamic thermo-mechanical problems Micro-meso-macro HOTS solutions HOTS numerical algorithm Multiple spatial scales DOI 10.1016/j.ijsolstr.2019.04.017 Language 英语 Funding Project China Postdoctoral Science Foundation[2018M643573] ; 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[11325212] ; National Basic Research Program of China[2012CB025904] ; National Basic Research Program of China[2014CB744100] ; Key Technology Research of FRP-Concrete Composite Structure and Center for high performance computing of Northwestern Polytechnical University WOS Research Area Mechanics WOS Subject Mechanics WOS ID WOS:000470050300007 Publisher PERGAMON-ELSEVIER SCIENCE LTD Citation statistics Document Type 期刊论文 Identifier http://ir.amss.ac.cn/handle/2S8OKBNM/34895 Collection 计算数学与科学工程计算研究所 Corresponding Author Dong, Hao; Yang, Zihao Affiliation 1.Xidian Univ, Sch Math & Stat, Xian 710071, Shaanxi, Peoples R China2.Xidian Univ, Sch Mechanoelect 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 Sci, Dept Appl Math, Xian 710129, Shaanxi, Peoples R China5.Harbin Inst Technol, Dept Astronaut Sci & Mech, Harbin 150001, Heilongjiang, Peoples R China Recommended CitationGB/T 7714 Dong, Hao,Zheng, Xiaojing,Cui, Junzhi,et al. High-order three-scale computational method for dynamic thermo-mechanical problems of composite structures with multiple spatial scales[J]. INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES,2019,169:95-121. APA Dong, Hao,Zheng, Xiaojing,Cui, Junzhi,Nie, Yufeng,Yang, Zhiqiang,&Yang, Zihao.(2019).High-order three-scale computational method for dynamic thermo-mechanical problems of composite structures with multiple spatial scales.INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES,169,95-121. MLA Dong, Hao,et al."High-order three-scale computational method for dynamic thermo-mechanical problems of composite structures with multiple spatial scales".INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES 169(2019):95-121.
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