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 High-order three-scale method for mechanical behavior analysis of composite structures with multiple periodic configurations Yang, Zihao1; Zhang, Yang2; Dong, Hao1; Cui, Junzhi1,3; Guan, Xiaofei4; Yang, Zhiqiang5 2017-11-10 Source Publication COMPOSITES SCIENCE AND TECHNOLOGY ISSN 0266-3538 Volume 152Pages:198-210 Abstract A new high-order three-scale (HOTS) method for simulating the mechanical behaviors of composite material structures with multiple heterogeneities is developed. The heterogeneities of the structures are taken into account by periodic layouts of unit cells on the microscale and mesoscale. A novel unified micro-meso-macro multiscale formulation based on reiterated homogenization and multiscale asymptotic expansions is established successively. Two kinds of local cell functions defined on the mesoscale and microscale cells, including first- and second-order, are established. The equivalent material parameter is calculated by up-scaling procedure and homogenized problem is subsequently defined. Further, the displacement, strain and stress are constructed as multiscale asymptotic expansions by assembling the cell functions and homogenation solution. In the present method, both the mesoscopic and microscopic information are synthesized with homogenization solution to capture more local characteristics inside the composite material structures. Then, the finite element numerical algorithm based on the three-scale method is brought forward in details. Finally, numerical examples are given to demonstrate the usability of the HOTS analysis method to simulate the mechanical behavior. This study offers a unified multiscale framework that enables mechanical behavior analysis of composite structures with multiple spatial scales. (C) 2017 Elsevier Ltd. All rights reserved. Keyword Multiple periodic configurations HOTS method Multiscale finite element algorithm Mechanical behaviors DOI 10.1016/j.compscitech.2017.09.031 Language 英语 Funding Project National Natural Science Foundation of China[11501449] ; National Natural Science Foundation of China[11471262] ; Fundamental Research Funds for the Central Universities[3102017zy043] ; fund of the State Key Laboratory of Solidification Processing in NWPU[SKLSP201628] WOS Research Area Materials Science WOS Subject Materials Science, Composites WOS ID WOS:000414825100023 Publisher ELSEVIER SCI LTD Citation statistics Document Type 期刊论文 Identifier http://ir.amss.ac.cn/handle/2S8OKBNM/26844 Collection 计算数学与科学工程计算研究所 Corresponding Author Cui, Junzhi Affiliation 1.Northwestern Polytech Univ, Dept Appl Math, Xian 710072, Shaanxi, Peoples R China2.State Key Lab Air Traff Management Syst & Technol, Nanjing 210007, Jiangsu, Peoples R China3.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China4.Tongji Univ, Sch Math Sci, Shanghai 200092, Peoples R China5.Harbin Inst Technol, Dept Astronaut Sci & Mech, Harbin 150001, Heilongjiang, Peoples R China Recommended CitationGB/T 7714 Yang, Zihao,Zhang, Yang,Dong, Hao,et al. High-order three-scale method for mechanical behavior analysis of composite structures with multiple periodic configurations[J]. COMPOSITES SCIENCE AND TECHNOLOGY,2017,152:198-210. APA Yang, Zihao,Zhang, Yang,Dong, Hao,Cui, Junzhi,Guan, Xiaofei,&Yang, Zhiqiang.(2017).High-order three-scale method for mechanical behavior analysis of composite structures with multiple periodic configurations.COMPOSITES SCIENCE AND TECHNOLOGY,152,198-210. MLA Yang, Zihao,et al."High-order three-scale method for mechanical behavior analysis of composite structures with multiple periodic configurations".COMPOSITES SCIENCE AND TECHNOLOGY 152(2017):198-210.
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