High-order three-scale computational method for elastic behavior analysis and strength prediction of axisymmetric composite structures with multiple spatial scales

doi:10.1177/1081286520975202

CSpace

	High-order three-scale computational method for elastic behavior analysis and strength prediction of axisymmetric composite structures with multiple spatial scales
	Dong, Hao 1; Cui, Junzhi 2; Nie, Yufeng 3; Jin, Ke 4; Guan, Xiaofei 5; Yang, Zihao 3
	2021-06-01
发表期刊	MATHEMATICS AND MECHANICS OF SOLIDS
ISSN	1081-2865
卷号	26 期号:6 页码:905-936
摘要	A novel high-order three-scale (HOTS) computational method for elastic behavior analysis and strength prediction of axisymmetric composite structures with multiple spatial scales is developed in this paper. The multiple heterogeneities of axisymmetric composite structures we investigated are taken into account by periodic distributions of representative unit cells on the mesoscale and microscale. First, the new micro-meso-macro coupled HOTS computational model for elastic problems of axisymmetric composite structures is established based on multiscale asymptotic analysis, which breaks through the traditional multiscale assumptions and includes three main components. Two classes of mesoscopic and microscopic auxiliary cell functions are constructed on the mesoscale and microscale, respectively. The macroscopic homogenization problems are defined on global axisymmetric structures by twice up-scaling procedures from microscale to mesoscale and then from mesoscale to macroscale. Moreover, the asymptotic HOTS solutions are constructed for approximating multiscale elastic problems of axisymmetric structures and the numerical accuracy analysis of the HOTS solutions is given in detail. Then, the strength prediction formulas for axisymmetric composite structures with multiple spatial scales are presented based on the high-accuracy elastic behavior analysis from the proposed HOTS computational model. Furthermore, the corresponding HOTS numerical algorithm based on the finite element method (FEM) is presented for analyzing the mechanical behaviors and predicting the strength of axisymmetric composite structures with multiple spatial scales in detail. Finally, some numerical examples are reported to verify the feasibility and effectiveness of the proposed HOTS computational method. In this study, a unified three-scale computational framework is offered, which enables the simulation of mechanical behaviors of axisymmetric composite structures with multiple spatial scales.
关键词	Multiscale asymptotic analysis mechanical behaviors axisymmetric composite structures micro-meso-macro coupled model HOTS numerical algorithm
DOI	10.1177/1081286520975202
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China[11872286] ; National Natural Science Foundation of China[51739007] ; National Natural Science Foundation of China[11971386] ; National Natural Science Foundation of China[61971328] ; National Natural Science Foundation of China[12001414] ; China Postdoctoral Science Foundation[2018M643573] ; Natural Science Foundation of Shaanxi Province[2019JQ-048] ; Key Technology Research of FRP-Concrete Composite Structure and Center for High-Performance Computing of Xidian University
WOS研究方向	Materials Science ; Mathematics ; Mechanics
WOS类目	Materials Science, Multidisciplinary ; Mathematics, Interdisciplinary Applications ; Mechanics
WOS记录号	WOS:000652833800007
出版者	SAGE PUBLICATIONS 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/58792
专题	中国科学院数学与系统科学研究院
通讯作者	Dong, Hao
作者单位	1.Xidian Univ, Sch Math & Stat, Xian 710071, Shaanxi, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing, Peoples R China 3.Northwestern Polytech Univ, Sch Math & Stat, Xian, Peoples R China 4.Xidian Univ, Sch Aerosp Sci & Technol, Xian, Peoples R China 5.Tongji Univ, Sch Math Sci, Shanghai, Peoples R China
推荐引用方式 GB/T 7714	Dong, Hao,Cui, Junzhi,Nie, Yufeng,et al. High-order three-scale computational method for elastic behavior analysis and strength prediction of axisymmetric composite structures with multiple spatial scales[J]. MATHEMATICS AND MECHANICS OF SOLIDS,2021,26(6):905-936.
APA	Dong, Hao,Cui, Junzhi,Nie, Yufeng,Jin, Ke,Guan, Xiaofei,&Yang, Zihao.(2021).High-order three-scale computational method for elastic behavior analysis and strength prediction of axisymmetric composite structures with multiple spatial scales.MATHEMATICS AND MECHANICS OF SOLIDS,26(6),905-936.
MLA	Dong, Hao,et al."High-order three-scale computational method for elastic behavior analysis and strength prediction of axisymmetric composite structures with multiple spatial scales".MATHEMATICS AND MECHANICS OF SOLIDS 26.6(2021):905-936.