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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 Source Publication CMC-COMPUTERS MATERIALS & CONTINUA ISSN 1546-2218 Volume 53Issue:3Pages:219-248 Abstract 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. Keyword Thermo-mechanical coupling problem quasi-periodic properties multiscale asymptotic analysis multiscale finite element-difference algorithm Language 英语 Funding Project 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 Research Area Engineering ; Materials Science ; Mathematics WOS Subject Engineering, Multidisciplinary ; Materials Science, Multidisciplinary ; Mathematics, Interdisciplinary Applications WOS ID WOS:000419265200004 Publisher TECH SCIENCE PRESS Citation statistics Document Type 期刊论文 Identifier http://ir.amss.ac.cn/handle/2S8OKBNM/29360 Collection 计算数学与科学工程计算研究所 Corresponding Author Yang, Zihao Affiliation 1.Northwestern Polytech Univ, Dept Appl Math, Xian 710072, Shaanxi, Peoples R China2.Northwestern Polytech Univ, State Key Lab Solidificat Proc, Xian 710072, Shaanxi, Peoples R China3.Sichuan Univ, Coll Math, Chengdu 610065, Sichuan, Peoples R China4.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China5.Xian Technol Univ, Dept Math & Phys, Xian 710032, Shaanxi, Peoples R China Recommended CitationGB/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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