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 Second-order two-scale finite element algorithm for dynamic thermo-mechanical coupling problem in symmetric structure Li, Zhi-Hui1,2; Ma, Qiang1,2; Cui, Junzhi3 2016-06-01 Source Publication JOURNAL OF COMPUTATIONAL PHYSICS ISSN 0021-9991 Volume 314Pages:712-748 Abstract The new second-order two-scale (SOTS) finite element algorithm is developed for the dynamic thermo-mechanical coupling problems in axisymmetric and spherical symmetric structures made of composite materials. The axisymmetric structure considered is periodic in both radial and axial directions and homogeneous in circumferential direction. The spherical symmetric structure is only periodic in radial direction. The dynamic thermomechanical coupling model is presented and the equivalent compact form is derived. Then, the cell problems, effective material coefficients and the homogenized thermo-mechanical coupling problem are obtained successively by the second-order asymptotic expansion of the temperature increment and displacement. The homogenized material obtained is manifested with the anisotropic property in the circumferential direction. The explicit expressions of the homogenized coefficients in the plane axisymmetric and spherical symmetric cases are given and both the derivation of the analytical solutions of the cell functions and the quasi-static thermoelasticity problems are discussed. Based on the SOTS method, the corresponding finite-element procedure is presented and the unconditionally stable implicit algorithm is established. Some numerical examples are solved and the mutual interaction between the temperature and displacement field is studied under the condition of structural vibration. The computational results demonstrate that the second-order asymptotic analysis finite-element algorithm is feasible and effective in simulating and predicting the dynamic thermo-mechanical behaviors of the composite materials with small periodic configurations in axisymmetric and spherical symmetric structures. This may provide a vital computational tool for analyzing composite material internal temperature distribution and structural deformation induced by the dynamic thermomechanical coupling response under strong aerothermodynamic environment. (C) 2016 The Authors. Published by Elsevier Inc. This is an open access article under the CC BY license. Keyword Second-order two-scale asymptotic expansion Finite-element algorithm Dynamic thermo-mechanical coupling problem Axisymmetric and spherical symmetric structure Periodic configuration DOI 10.1016/j.jcp.2016.03.034 Language 英语 Funding Project National Key Basic Research and Development Program of China[2014CB744100] ; National Natural Science Foundation of China[11325212] ; National Natural Science Foundation of China[91530319] ; China Postdoctoral Science Foundation[2014M562616] WOS Research Area Computer Science ; Physics WOS Subject Computer Science, Interdisciplinary Applications ; Physics, Mathematical WOS ID WOS:000374122100037 Publisher ACADEMIC PRESS INC ELSEVIER SCIENCE Citation statistics Document Type 期刊论文 Identifier http://ir.amss.ac.cn/handle/2S8OKBNM/22482 Collection 计算数学与科学工程计算研究所 Corresponding Author Li, Zhi-Hui Affiliation 1.China Aerodynam Res & Dev Ctr, Hyperveloc Aerodynam Inst, Mianyang 621000, Peoples R China2.BUAA, Natl Lab Computat Fluid Dynam, Beijing 100191, Peoples R China3.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China Recommended CitationGB/T 7714 Li, Zhi-Hui,Ma, Qiang,Cui, Junzhi. Second-order two-scale finite element algorithm for dynamic thermo-mechanical coupling problem in symmetric structure[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2016,314:712-748. APA Li, Zhi-Hui,Ma, Qiang,&Cui, Junzhi.(2016).Second-order two-scale finite element algorithm for dynamic thermo-mechanical coupling problem in symmetric structure.JOURNAL OF COMPUTATIONAL PHYSICS,314,712-748. MLA Li, Zhi-Hui,et al."Second-order two-scale finite element algorithm for dynamic thermo-mechanical coupling problem in symmetric structure".JOURNAL OF COMPUTATIONAL PHYSICS 314(2016):712-748.
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