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High-order three-scale computational method for elastic behavior analysis and strength prediction of axisymmetric composite structures with multiple spatial scales
Dong, Hao1; Cui, Junzhi2; Nie, Yufeng3; Jin, Ke4; Guan, Xiaofei5; Yang, Zihao3
2021-06-01
Source PublicationMATHEMATICS AND MECHANICS OF SOLIDS
ISSN1081-2865
Volume26Issue:6Pages:905-936
AbstractA 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.
KeywordMultiscale asymptotic analysis mechanical behaviors axisymmetric composite structures micro-meso-macro coupled model HOTS numerical algorithm
DOI10.1177/1081286520975202
Indexed BySCI
Language英语
Funding ProjectNational 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 Research AreaMaterials Science ; Mathematics ; Mechanics
WOS SubjectMaterials Science, Multidisciplinary ; Mathematics, Interdisciplinary Applications ; Mechanics
WOS IDWOS:000652833800007
PublisherSAGE PUBLICATIONS LTD
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/58792
Collection中国科学院数学与系统科学研究院
Corresponding AuthorDong, Hao
Affiliation1.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
Recommended Citation
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.
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