A three-scale asymptotic expansion for predicting viscoelastic properties of composites with multiple configuration
文献类型：期刊论文
| 作者 | Yang, Zhiqiang1,2; Sun, Yi2; Cui, Junzhi4 ; Ge, Jingran3
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| 刊名 | EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
 |
| 出版日期 | 2019-07-01 |
| 卷号 | 76页码:235-246 |
| 关键词 | three-scale asymptotic homogenization Viscoelastic problems Laplace transform |
| ISSN号 | 0997-7538 |
| DOI | 10.1016/j.euromechsol.2019.04.016 |
| 英文摘要 | A novel three-scale asymptotic expansion used to evaluate viscoelastic analysis of composites with multiple configuration is systematically studied. The heterogeneities of composite structures are described by periodic layout of unit cells on the microscale and mesoscale. Firstly, the three-scale asymptotic formulations based on homogenization approach and Laplace transform are established, and the local cell solutions in microscale and mesoscale are also defined. Further, two kinds of homogenized coefficients are derived by upscaling methods, and the homogenized equations are obtained on whole macroscopic domain. Also, the strain and stress fields are constructed as three-scale asymptotic solutions by assembling the unit cell solutions and homogenized solutions. Then, the finite element algorithms based on inverse Laplace transform and the three-scale asymptotic homogenization are proposed. Finally, some typical numerical results are employed to validate the presented approaches. They illustrate that the three-scale asymptotic approaches proposed in this paper are efficient and accurate for analyzing the viscoelastic problems of the composites with multiple configuration. |
| 资助项目 | National Natural Science Foundation of China[11701123] ; National Natural Science Foundation of China[11802018] ; Fundamental Research Funds for the Central Universities |
| WOS研究方向 | Mechanics |
| 语种 | 英语 |
| WOS记录号 | WOS:000472691600019 |
| 出版者 | ELSEVIER SCIENCE BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/34983]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Yang, Zhiqiang; Ge, Jingran |
| 作者单位 | 1.Columbia Univ, Dept Civil Engn & Engn Mech, New York, NY 10027 USA 2.Harbin Inst Technol, Dept Astronaut Sci & Mech, Harbin 150001, Heilongjiang, Peoples R China 3.Beijing Inst Technol, Inst Adv Struct Technol, Beijing 100081, Peoples R China 4.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Yang, Zhiqiang,Sun, Yi,Cui, Junzhi,et al. A three-scale asymptotic expansion for predicting viscoelastic properties of composites with multiple configuration[J]. EUROPEAN JOURNAL OF MECHANICS A-SOLIDS,2019,76:235-246. |
| APA | Yang, Zhiqiang,Sun, Yi,Cui, Junzhi,&Ge, Jingran.(2019).A three-scale asymptotic expansion for predicting viscoelastic properties of composites with multiple configuration.EUROPEAN JOURNAL OF MECHANICS A-SOLIDS,76,235-246. |
| MLA | Yang, Zhiqiang,et al."A three-scale asymptotic expansion for predicting viscoelastic properties of composites with multiple configuration".EUROPEAN JOURNAL OF MECHANICS A-SOLIDS 76(2019):235-246. |
入库方式： OAI收割
来源：数学与系统科学研究院
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