MULTISCALE COMPUTATION AND CONVERGENCE FOR COUPLED THERMOELASTIC SYSTEM IN COMPOSITE MATERIALS

doi:10.1137/14098291X

	MULTISCALE COMPUTATION AND CONVERGENCE FOR COUPLED THERMOELASTIC SYSTEM IN COMPOSITE MATERIALS
	Wang, Xin ; Cao, Liqun2 ; Wong, Yaushu 3
	2015
发表期刊	MULTISCALE MODELING & SIMULATION
ISSN	1540-3459
卷号	13 期号:2 页码:661-690
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.
关键词	linear time-dependent coupled thermoelastic equations homogenization multiscale asymptotic expansion Laplace transform finite element method composite materials
DOI	10.1137/14098291X
语种	英语
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
WOS类目	Mathematics, Interdisciplinary Applications ; Physics, Mathematical
WOS记录号	WOS:000357405000011
出版者	SIAM PUBLICATIONS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/20224
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.