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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 PublicationCOMPOSITES SCIENCE AND TECHNOLOGY
ISSN0266-3538
Volume152Pages:198-210
AbstractA 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.
KeywordMultiple periodic configurations HOTS method Multiscale finite element algorithm Mechanical behaviors
DOI10.1016/j.compscitech.2017.09.031
Language英语
Funding ProjectNational 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 AreaMaterials Science
WOS SubjectMaterials Science, Composites
WOS IDWOS:000414825100023
PublisherELSEVIER SCI LTD
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/26844
Collection计算数学与科学工程计算研究所
Corresponding AuthorCui, Junzhi
Affiliation1.Northwestern Polytech Univ, Dept Appl Math, Xian 710072, Shaanxi, Peoples R China
2.State Key Lab Air Traff Management Syst & Technol, Nanjing 210007, Jiangsu, Peoples R China
3.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China
4.Tongji Univ, Sch Math Sci, Shanghai 200092, Peoples R China
5.Harbin Inst Technol, Dept Astronaut Sci & Mech, Harbin 150001, Heilongjiang, Peoples R China
Recommended Citation
GB/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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