Second-order two-scale computational method for ageing linear viscoelastic problem in composite materials with periodic structure
文献类型：期刊论文
| 作者 | Zhang, Yang1; Cui, Junzhi1,2 ; Nie, Yufeng1
|
| 刊名 | APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION
 |
| 出版日期 | 2016-02-01 |
| 卷号 | 37期号:2页码:253-264 |
| 关键词 | second-order two-scale (SOTS) method ageing viscoelasticity composite material periodic structure |
| ISSN号 | 0253-4827 |
| DOI | 10.1007/s10483-016-2029-8 |
| 英文摘要 | The correspondence principle is an important mathematical technique to compute the non-ageing linear viscoelastic problem as it allows to take advantage of the computational methods originally developed for the elastic case. However, the correspondence principle becomes invalid when the materials exhibit ageing. To deal with this problem, a second-order two-scale (SOTS) computational method in the time domain is presented to predict the ageing linear viscoelastic performance of composite materials with a periodic structure. First, in the time domain, the SOTS formulation for calculating the effective relaxation modulus and displacement approximate solutions of the ageing viscoelastic problem is formally derived. Error estimates of the displacement approximate solutions for SOTS method are then given. Numerical results obtained by the SOTS method are shown and compared with those by the finite element method in a very fine mesh. Both the analytical and numerical results show that the SOTS computational method is feasible and efficient to predict the ageing linear viscoelastic performance of composite materials with a periodic structure. |
| 资助项目 | National Natural Science Foundation of China[11471262] |
| WOS研究方向 | Mathematics ; Mechanics |
| 语种 | 英语 |
| WOS记录号 | WOS:000368989500010 |
| 出版者 | SHANGHAI UNIV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/21843]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Nie, Yufeng |
| 作者单位 | 1.Northwestern Polytech Univ, Dept Appl Math, Xian 710072, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhang, Yang,Cui, Junzhi,Nie, Yufeng. Second-order two-scale computational method for ageing linear viscoelastic problem in composite materials with periodic structure[J]. APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION,2016,37(2):253-264. |
| APA | Zhang, Yang,Cui, Junzhi,&Nie, Yufeng.(2016).Second-order two-scale computational method for ageing linear viscoelastic problem in composite materials with periodic structure.APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION,37(2),253-264. |
| MLA | Zhang, Yang,et al."Second-order two-scale computational method for ageing linear viscoelastic problem in composite materials with periodic structure".APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION 37.2(2016):253-264. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。