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Multiscale Nonlinear Thermo-Mechanical Coupling Analysis of Composite Structures with Quasi-Periodic Properties
Yang, Zihao1; Ma, Liang2; Mai, Qiang3; Cui, Junzhi1,4; Nie, Yufeng1; Dong, Hao1; An, Xiaohong5
2017-09-01
发表期刊CMC-COMPUTERS MATERIALS & CONTINUA
ISSN1546-2218
卷号53期号:3页码:219-248
摘要This paper reports a multiscale analysis method to predict the thermo-mechanical coupling performance of composite structures with quasi-periodic properties. In these material structures, the configurations are periodic, and the material coefficients are quasi-periodic, i.e., they depend not only on the microscale information but also on the macro location. Also, a mutual interaction between displacement and temperature fields is considered in the problem, which is our particular interest in this study. The multiscale asymptotic expansions of the temperature and displacement fields are constructed and associated error estimation in nearly pointwise sense is presented. Then, a finite element-difference algorithm based on the multiscale analysis method is brought forward in detail. Finally, some numerical examples are given. And the numerical results show that the multiscale method presented in this, paper is effective and reliable to study the nonlinear thermo-mechanical coupling problem of composite structures with quasi periodic properties.
关键词Thermo-mechanical coupling problem quasi-periodic properties multiscale asymptotic analysis multiscale finite element-difference algorithm
语种英语
资助项目National Natural Science Foundation of China[11501449] ; Fundamental Research Funds for the Central Universities[3102017zy043] ; China Postdoctoral Science Foundation[2016T91019] ; State Key Laboratory of Solidification Processing in NWPU[SKLSP201628] ; Shaanxi Provincial Education Department[14JK1353]
WOS研究方向Engineering ; Materials Science ; Mathematics
WOS类目Engineering, Multidisciplinary ; Materials Science, Multidisciplinary ; Mathematics, Interdisciplinary Applications
WOS记录号WOS:000419265200004
出版者TECH SCIENCE PRESS
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/29360
专题计算数学与科学工程计算研究所
通讯作者Yang, Zihao
作者单位1.Northwestern Polytech Univ, Dept Appl Math, Xian 710072, Shaanxi, Peoples R China
2.Northwestern Polytech Univ, State Key Lab Solidificat Proc, Xian 710072, Shaanxi, Peoples R China
3.Sichuan Univ, Coll Math, Chengdu 610065, Sichuan, Peoples R China
4.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
5.Xian Technol Univ, Dept Math & Phys, Xian 710032, Shaanxi, Peoples R China
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GB/T 7714
Yang, Zihao,Ma, Liang,Mai, Qiang,et al. Multiscale Nonlinear Thermo-Mechanical Coupling Analysis of Composite Structures with Quasi-Periodic Properties[J]. CMC-COMPUTERS MATERIALS & CONTINUA,2017,53(3):219-248.
APA Yang, Zihao.,Ma, Liang.,Mai, Qiang.,Cui, Junzhi.,Nie, Yufeng.,...&An, Xiaohong.(2017).Multiscale Nonlinear Thermo-Mechanical Coupling Analysis of Composite Structures with Quasi-Periodic Properties.CMC-COMPUTERS MATERIALS & CONTINUA,53(3),219-248.
MLA Yang, Zihao,et al."Multiscale Nonlinear Thermo-Mechanical Coupling Analysis of Composite Structures with Quasi-Periodic Properties".CMC-COMPUTERS MATERIALS & CONTINUA 53.3(2017):219-248.
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