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MULTISCALE COMPUTATION AND CONVERGENCE FOR COUPLED THERMOELASTIC SYSTEM IN COMPOSITE MATERIALS
Wang, Xin; Cao, Liqun2; Wong, Yaushu3
2015
Source PublicationMULTISCALE MODELING & SIMULATION
ISSN1540-3459
Volume13Issue:2Pages:661-690
AbstractThis 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.
Keywordlinear time-dependent coupled thermoelastic equations homogenization multiscale asymptotic expansion Laplace transform finite element method composite materials
DOI10.1137/14098291X
Language英语
Funding ProjectNational 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 AreaMathematics ; Physics
WOS SubjectMathematics, Interdisciplinary Applications ; Physics, Mathematical
WOS IDWOS:000357405000011
PublisherSIAM PUBLICATIONS
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/20224
Collection计算数学与科学工程计算研究所
Affiliation1.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
Recommended Citation
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.
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