KMS Of Academy of mathematics and systems sciences, CAS
| High-Order Three-Scale Computational Method for Thermoelastic Behavior Analysis of Axisymmetric Composite Structures with Multiple Spatial Scales | |
| Dong, Hao1; Cui, Junzhi2; Nie, Yufeng3; Yang, Zihao3; Yang, Ziqiang4 | |
| 2020-04-01 | |
| Source Publication | ADVANCES IN APPLIED MATHEMATICS AND MECHANICS
 |
| ISSN | 2070-0733 |
| Volume | 12Issue:2Pages:599-642 |
| Abstract | This study develops a novel high-order three-scale (HOTS) computational method to accurately simulate and analyze the thermoelastic behaviors of axisymmetric composite structures with multiple spatial scales. The inhomogeneities in composite structures are taken into account by periodic distributions of representative unit cells on the mesoscale and microscale. Firstly, the multiscale asymptotic analysis for these multiscale problems is given in detail, and the new unified micro-meso-macro HOTS approximate solutions for these multiscale problems are established based on the above-mentioned multiscale analysis. Two types of auxiliary cell functions are established on mesoscale and microscale. Also, two kinds of equivalent material parameters are calculated by up-scaling procedure on the mesoscale and microscale, and the homogenized problems are subsequently defined on global structure. Then, the numerical accuracy analyses for the conventional two-scale solutions, low-order three-scale (LOTS) solutions and HOTS solutions are obtained in the pointwise sense. By the foregoing error analyses, the vital necessity of developing HOTS solutions for simulating these three-scale problems is illustrated clearly. Furthermore, the corresponding HOTS numerical algorithm based on finite element method (FEM) is brought forward in detail. Finally, some numerical examples are presented to verify the usability and effectiveness of the HOTS computational method developed in this work. |
| Keyword | Multiscale asymptotic analysis thermoelastic problems axisymmetric composite structures multiple spatial scales HOTS numerical algorithm |
| DOI | 10.4208/aamm.OA-2019-0071 |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | China Postdoctoral Science Foundation[2018M643573] ; National Natural Science Foundation of Shaanxi Province[2019JQ-048] ; Fundamental Research Funds for the Central Universities[JB180703] ; National Natural Science Foundation of China[51739007] ; National Natural Science Foundation of China[11471262] ; National Natural Science Foundation of China[11501449] ; National Basic Research Program of China[2012CB025904] ; State Scholarship Fund of China Scholarship Council[201606290191] ; Key Technology Research of FRP-Concrete Composite Structure ; Center for high performance computing of Northwestern Polytechnical University |
| WOS Research Area | Mathematics ; Mechanics |
| WOS Subject | Mathematics, Applied ; Mechanics |
| WOS ID | WOS:000508006000014 |
| Publisher | GLOBAL SCIENCE PRESS |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/50558 |
| 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 100190, Peoples R China 3.Northwestern Polytech Univ, Sch Sci, Dept Appl Math, Xian 710129, Shaanxi, Peoples R China 4.Harbin Inst Technol, Dept Astronaut Sci & Mech, Harbin 150001, Heilongjiang, Peoples R China |
| Recommended Citation GB/T 7714 | Dong, Hao,Cui, Junzhi,Nie, Yufeng,et al. High-Order Three-Scale Computational Method for Thermoelastic Behavior Analysis of Axisymmetric Composite Structures with Multiple Spatial Scales[J]. ADVANCES IN APPLIED MATHEMATICS AND MECHANICS,2020,12(2):599-642. |
| APA | Dong, Hao,Cui, Junzhi,Nie, Yufeng,Yang, Zihao,&Yang, Ziqiang.(2020).High-Order Three-Scale Computational Method for Thermoelastic Behavior Analysis of Axisymmetric Composite Structures with Multiple Spatial Scales.ADVANCES IN APPLIED MATHEMATICS AND MECHANICS,12(2),599-642. |
| MLA | Dong, Hao,et al."High-Order Three-Scale Computational Method for Thermoelastic Behavior Analysis of Axisymmetric Composite Structures with Multiple Spatial Scales".ADVANCES IN APPLIED MATHEMATICS AND MECHANICS 12.2(2020):599-642. |
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