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 Dynamic thermo-mechanical coupled simulation of statistically inhomogeneous materials by statistical second-order two-scale method Yang, Zihao1; Cui, Junzhi1,2; Nie, Yufeng1; Huang, Zhiqiang1; Xiang, Meizhen3 2015-10-01 Source Publication ACTA MECHANICA SINICA ISSN 0567-7718 Volume 31Issue:5Pages:762-776 Abstract In this paper, a statistical second-order two-scale (SSOTS) method is developed to simulate the dynamic thermo-mechanical performances of the statistically inhomogeneous materials. For this kind of composite material, the random distribution characteristics of particles, including the shape, size, orientation, spatial location, and volume fractions, are all considered. Firstly, the representation for the microscopic configuration of the statistically inhomogeneous materials is described. Secondly, the SSOTS formulation for the dynamic thermo-mechanical coupled problem is proposed in a constructive way, including the cell problems, effective thermal and mechanical parameters, homogenized problems, and the SSOTS formulas of the temperatures, displacements, heat flux densities and stresses. And then the algorithm procedure corresponding to the SSOTS method is brought forward. The numerical results obtained by using the SSOTS algorithm are compared with those by classical methods. In addition, the thermo-mechanical coupling effect is studied by comparing the results of coupled case with those of uncoupled case. It demonstrates that the coupling effect on the temperatures, heat flux densities, displacements, and stresses is very distinct. The results show that the SSOTS method is valid to predict the dynamic thermo-mechanical coupled performances of statistically inhomogeneous materials. Keyword Statistically inhomogeneous materials Dynamic thermo-mechanical coupled performances The SSOTS method The thermo-mechanical coupling effect DOI 10.1007/s10409-015-0483-9 Language 英语 Funding Project National Natural Science Foundation of China[11471262] ; National Natural Science Foundation of China[11202032] ; Basic Research Project of National Defense[B1520132013] ; State Key Laboratory of Science and Engineering Computing ; Center for high performance computing of Northwestern Polytechnical University WOS Research Area Engineering ; Mechanics WOS Subject Engineering, Mechanical ; Mechanics WOS ID WOS:000364450700017 Publisher SPRINGER HEIDELBERG Citation statistics Document Type 期刊论文 Identifier http://ir.amss.ac.cn/handle/2S8OKBNM/21247 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, Peoples R China2.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China3.Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China Recommended CitationGB/T 7714 Yang, Zihao,Cui, Junzhi,Nie, Yufeng,et al. Dynamic thermo-mechanical coupled simulation of statistically inhomogeneous materials by statistical second-order two-scale method[J]. ACTA MECHANICA SINICA,2015,31(5):762-776. APA Yang, Zihao,Cui, Junzhi,Nie, Yufeng,Huang, Zhiqiang,&Xiang, Meizhen.(2015).Dynamic thermo-mechanical coupled simulation of statistically inhomogeneous materials by statistical second-order two-scale method.ACTA MECHANICA SINICA,31(5),762-776. MLA Yang, Zihao,et al."Dynamic thermo-mechanical coupled simulation of statistically inhomogeneous materials by statistical second-order two-scale method".ACTA MECHANICA SINICA 31.5(2015):762-776.
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