High-order three-scale method for mechanical behavior analysis of composite structures with multiple periodic configurations

doi:10.1016/j.compscitech.2017.09.031

	High-order three-scale method for mechanical behavior analysis of composite structures with multiple periodic configurations
	Yang, Zihao 1; Zhang, Yang 2; Dong, Hao 1; Cui, Junzhi1,3 ; Guan, Xiaofei 4; Yang, Zhiqiang 5
	2017-11-10
发表期刊	COMPOSITES SCIENCE AND TECHNOLOGY
ISSN	0266-3538
卷号	152 页码:198-210
摘要	A new high-order three-scale (HOTS) method for simulating the mechanical behaviors of composite material structures with multiple heterogeneities is developed. The heterogeneities of the structures are taken into account by periodic layouts of unit cells on the microscale and mesoscale. A novel unified micro-meso-macro multiscale formulation based on reiterated homogenization and multiscale asymptotic expansions is established successively. Two kinds of local cell functions defined on the mesoscale and microscale cells, including first- and second-order, are established. The equivalent material parameter is calculated by up-scaling procedure and homogenized problem is subsequently defined. Further, the displacement, strain and stress are constructed as multiscale asymptotic expansions by assembling the cell functions and homogenation solution. In the present method, both the mesoscopic and microscopic information are synthesized with homogenization solution to capture more local characteristics inside the composite material structures. Then, the finite element numerical algorithm based on the three-scale method is brought forward in details. Finally, numerical examples are given to demonstrate the usability of the HOTS analysis method to simulate the mechanical behavior. This study offers a unified multiscale framework that enables mechanical behavior analysis of composite structures with multiple spatial scales. (C) 2017 Elsevier Ltd. All rights reserved.
关键词	Multiple periodic configurations HOTS method Multiscale finite element algorithm Mechanical behaviors
DOI	10.1016/j.compscitech.2017.09.031
语种	英语
资助项目	National Natural Science Foundation of China[11501449] ; National Natural Science Foundation of China[11471262] ; Fundamental Research Funds for the Central Universities[3102017zy043] ; fund of the State Key Laboratory of Solidification Processing in NWPU[SKLSP201628]
WOS研究方向	Materials Science
WOS类目	Materials Science, Composites
WOS记录号	WOS:000414825100023
出版者	ELSEVIER SCI LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/26844
专题	计算数学与科学工程计算研究所
通讯作者	Cui, Junzhi
作者单位	1.Northwestern Polytech Univ, Dept Appl Math, Xian 710072, Shaanxi, Peoples R China 2.State Key Lab Air Traff Management Syst & Technol, Nanjing 210007, Jiangsu, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China 4.Tongji Univ, Sch Math Sci, Shanghai 200092, Peoples R China 5.Harbin Inst Technol, Dept Astronaut Sci & Mech, Harbin 150001, Heilongjiang, Peoples R China
推荐引用方式 GB/T 7714	Yang, Zihao,Zhang, Yang,Dong, Hao,et al. High-order three-scale method for mechanical behavior analysis of composite structures with multiple periodic configurations[J]. COMPOSITES SCIENCE AND TECHNOLOGY,2017,152:198-210.
APA	Yang, Zihao,Zhang, Yang,Dong, Hao,Cui, Junzhi,Guan, Xiaofei,&Yang, Zhiqiang.(2017).High-order three-scale method for mechanical behavior analysis of composite structures with multiple periodic configurations.COMPOSITES SCIENCE AND TECHNOLOGY,152,198-210.
MLA	Yang, Zihao,et al."High-order three-scale method for mechanical behavior analysis of composite structures with multiple periodic configurations".COMPOSITES SCIENCE AND TECHNOLOGY 152(2017):198-210.