KMS Of Academy of mathematics and systems sciences, CAS
| 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 Publication | MATHEMATICS AND MECHANICS OF SOLIDS
 |
| ISSN | 1081-2865 |
| Volume | 26Issue:6Pages:905-936 |
| Abstract | 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. |
| Keyword | Multiscale asymptotic analysis mechanical behaviors axisymmetric composite structures micro-meso-macro coupled model HOTS numerical algorithm |
| DOI | 10.1177/1081286520975202 |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | 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 Research Area | Materials Science ; Mathematics ; Mechanics |
| WOS Subject | Materials Science, Multidisciplinary ; Mathematics, Interdisciplinary Applications ; Mechanics |
| WOS ID | WOS:000652833800007 |
| Publisher | SAGE PUBLICATIONS LTD |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/58792 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Dong, Hao |
| Affiliation | 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 |
| 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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