CSpace  > 计算数学与科学工程计算研究所
 MULTISCALE COMPUTATION AND CONVERGENCE FOR COUPLED THERMOELASTIC SYSTEM IN COMPOSITE MATERIALS Wang, Xin; Cao, Liqun2; Wong, Yaushu3 2015 Source Publication MULTISCALE MODELING & SIMULATION ISSN 1540-3459 Volume 13Issue:2Pages:661-690 Abstract 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. Keyword linear time-dependent coupled thermoelastic equations homogenization multiscale asymptotic expansion Laplace transform finite element method composite materials DOI 10.1137/14098291X Language 英语 Funding Project 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 Research Area Mathematics ; Physics WOS Subject Mathematics, Interdisciplinary Applications ; Physics, Mathematical WOS ID WOS:000357405000011 Publisher SIAM PUBLICATIONS Citation statistics Document Type 期刊论文 Identifier http://ir.amss.ac.cn/handle/2S8OKBNM/20224 Collection 计算数学与科学工程计算研究所 Corresponding Author Cao, Liqun Affiliation 1.Shanghai Univ, Dept Math, Shanghai, Peoples R China2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, NCMIS,LSEC, Beijing 100190, Peoples R China3.Univ Alberta, Dept Math & Stat Sci, Edmonton, AB, Canada Recommended CitationGB/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.
 Files in This Item: There are no files associated with this item.
 Related Services Recommend this item Bookmark Usage statistics Export to Endnote Google Scholar Similar articles in Google Scholar [Wang, Xin]'s Articles [Cao, Liqun]'s Articles [Wong, Yaushu]'s Articles Baidu academic Similar articles in Baidu academic [Wang, Xin]'s Articles [Cao, Liqun]'s Articles [Wong, Yaushu]'s Articles Bing Scholar Similar articles in Bing Scholar [Wang, Xin]'s Articles [Cao, Liqun]'s Articles [Wong, Yaushu]'s Articles Terms of Use No data! Social Bookmark/Share