A high-order three-scale reduced homogenization for nonlinear heterogeneous materials with multiple configurations

doi:10.1016/j.jcp.2020.109900

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	A high-order three-scale reduced homogenization for nonlinear heterogeneous materials with multiple configurations
	Yang, Zhiqiang 1; Sun, Yi 1; Cui, Junzhi 2; Ma, Qiang 3
	2021-01-15
发表期刊	JOURNAL OF COMPUTATIONAL PHYSICS
ISSN	0021-9991
卷号	425 页码:25
摘要	A 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.
关键词	HTRH algorithms Reduced order homogenization Micro-meso-macro formulations Multiple configurations
DOI	10.1016/j.jcp.2020.109900
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China[11701123] ; National Natural Science Foundation of China[11801387] ; Fundamental Research Funds for the Central Universities[HIT.NSRIF.2020017]
WOS研究方向	Computer Science ; Physics
WOS类目	Computer Science, Interdisciplinary Applications ; Physics, Mathematical
WOS记录号	WOS:000598925100005
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/57902
专题	中国科学院数学与系统科学研究院
通讯作者	Yang, Zhiqiang; Ma, Qiang
作者单位	1.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
推荐引用方式 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.