MULTISCALE COMPUTATION AND CONVERGENCE FOR COUPLED THERMOELASTIC SYSTEM IN COMPOSITE MATERIALS
文献类型：期刊论文
| 作者 | Wang, Xin; Cao, Liqun2 ; Wong, Yaushu3
|
| 刊名 | MULTISCALE MODELING & SIMULATION
 |
| 出版日期 | 2015 |
| 卷号 | 13期号:2页码:661-690 |
| 关键词 | linear time-dependent coupled thermoelastic equations homogenization multiscale asymptotic expansion Laplace transform finite element method composite materials |
| ISSN号 | 1540-3459 |
| DOI | 10.1137/14098291X |
| 英文摘要 | This paper discusses the multiscale computation for linear time-dependent thermoelastic equations in composite materials with a periodic microstructure. The new contributions presented in this study are the formulation of the correction terms and the strong convergence result with an explicit rate for the second-order multiscale solutions. By application of the Laplace transform, the multiscale method is developed for the static coupled thermoelastic system instead of the original time-dependent equations. Numerical results are reported to demonstrate that the proposed method has a competitive advantage for solving the dynamic thermoelastic system in three-dimensional composite materials. Moreover, the method is highly suitable for parallel computation. |
| 资助项目 | National Natural Science Foundation of China[11301329] ; National Natural Science Foundation of China[91330202] ; National Basic Research Program of China (973 Program)[2010CB832702] ; Funds for Creative Research Group of China[11321061] ; Natural Science and Engineering Research Council of Canada |
| WOS研究方向 | Mathematics ; Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000357405000011 |
| 出版者 | SIAM PUBLICATIONS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/20223]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Cao, Liqun |
| 作者单位 | 1.Shanghai Univ, Dept Math, Shanghai, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, NCMIS,LSEC, Beijing 100190, Peoples R China 3.Univ Alberta, Dept Math & Stat Sci, Edmonton, AB, Canada |
| 推荐引用方式 GB/T 7714 | Wang, Xin,Cao, Liqun,Wong, Yaushu. MULTISCALE COMPUTATION AND CONVERGENCE FOR COUPLED THERMOELASTIC SYSTEM IN COMPOSITE MATERIALS[J]. MULTISCALE MODELING & SIMULATION,2015,13(2):661-690. |
| APA | Wang, Xin,Cao, Liqun,&Wong, Yaushu.(2015).MULTISCALE COMPUTATION AND CONVERGENCE FOR COUPLED THERMOELASTIC SYSTEM IN COMPOSITE MATERIALS.MULTISCALE MODELING & SIMULATION,13(2),661-690. |
| MLA | Wang, Xin,et al."MULTISCALE COMPUTATION AND CONVERGENCE FOR COUPLED THERMOELASTIC SYSTEM IN COMPOSITE MATERIALS".MULTISCALE MODELING & SIMULATION 13.2(2015):661-690. |
入库方式： OAI收割
来源：数学与系统科学研究院
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