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A high-order three-scale reduced homogenization for nonlinear heterogeneous materials with multiple configurations
Yang, Zhiqiang1; Sun, Yi1; Cui, Junzhi2; Ma, Qiang3
2021-01-15
Source PublicationJOURNAL OF COMPUTATIONAL PHYSICS
ISSN0021-9991
Volume425Pages:25
AbstractA novel high-order three-scale reduced homogenization (HTRH) approach is introduced for analyzing the nonlinear heterogeneous materials with multiple periodic microstructure. The first-order, second-order and high-order local cell solutions at microscale and mescoscale gotten by solving the distinct multiscale cell functions are derived at first. Then, two kinds of homogenized parameters are calculated, and the nonlinear homogenization equations defined on global structure are evaluated, successively. Further, the displacement and stress fields are established as high-order multiscale approximate solutions by assembling the various unit cell solutions and homogenization solutions. The significant characteristics of the presented approach are an efficient reduced model form for solving high-order nonlinear local cell problems, and hence reducing the computational cost in comparison to direct computational homogenization. Besides, the new asymptotic high order nonlinear homogenization does not need higher order continuities of the coarse-scale (or macroscale) solutions. Finally, by some representative examples, the efficiency and accuracy of the presented algorithms are verified. The numerical results clearly illustrate that the HTRH approach reported in this work is effective and accurate to predict the macroscopic nonlinear properties, and can capture the microscale and mesoscale behavior of the composites accurately. (c) 2020 Elsevier Inc. All rights reserved.
KeywordHTRH algorithms Reduced order homogenization Micro-meso-macro formulations Multiple configurations
DOI10.1016/j.jcp.2020.109900
Indexed BySCI
Language英语
Funding ProjectNational Natural Science Foundation of China[11701123] ; National Natural Science Foundation of China[11801387] ; Fundamental Research Funds for the Central Universities[HIT.NSRIF.2020017]
WOS Research AreaComputer Science ; Physics
WOS SubjectComputer Science, Interdisciplinary Applications ; Physics, Mathematical
WOS IDWOS:000598925100005
PublisherACADEMIC PRESS INC ELSEVIER SCIENCE
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/57902
Collection中国科学院数学与系统科学研究院
Corresponding AuthorYang, Zhiqiang; Ma, Qiang
Affiliation1.Harbin Inst Technol, Dept Astronaut Sci & Mech, Harbin 150001, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China
3.Sichuan Univ, Coll Math, Chengdu 610043, Peoples R China
Recommended Citation
GB/T 7714
Yang, Zhiqiang,Sun, Yi,Cui, Junzhi,et al. A high-order three-scale reduced homogenization for nonlinear heterogeneous materials with multiple configurations[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2021,425:25.
APA Yang, Zhiqiang,Sun, Yi,Cui, Junzhi,&Ma, Qiang.(2021).A high-order three-scale reduced homogenization for nonlinear heterogeneous materials with multiple configurations.JOURNAL OF COMPUTATIONAL PHYSICS,425,25.
MLA Yang, Zhiqiang,et al."A high-order three-scale reduced homogenization for nonlinear heterogeneous materials with multiple configurations".JOURNAL OF COMPUTATIONAL PHYSICS 425(2021):25.
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