热弹性方程多尺度建模

Multiscle Modeling of Thermoelasticity Equations

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摘要用异质多尺度法(HMM)对稳态热弹性方程进行发现建模,并对此模型做了误差估计。 In this paper, we model stable thermoelasticity equations using heterogeneous multiscale method, and estimate the error.

作者肖淳

机构地区湛江师范学院数学与计算科学学院

出处《东莞理工学院学报》 2013年第3期7-11,共5页 Journal of Dongguan University of Technology

基金湛江市科技攻关项目(2011c3105015)

关键词多尺度建模热弹性梯度功能材料异质多迟度法均匀化 multiscale modeling thermoelasticity functionally graded materials heterogeneous multiscale method homogenization

分类号 O242.1 [理学—计算数学]

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1Horia I. Ene. On linear thermoelasticity of composite materials[ J]. Int J Engng Sci, 1983,21 (5) :443 -448.
2Chen Z, Hou T Y. A mixed muhiseale finite element method for elliptic problems with oscillating coefficients[ J]. Math Comp ,2002,21:541 - 576.
3Yau H T. Asymptotic solutions to dynamics of many-body systems and classical continuum equations[ M]. In Current Development in Mathemat- ics, International Press, 2000.
4Chou S I, Wang C C. Estimates of error in finite element approximate solutions to problems in linear thermoelastieity[ J]. Springer Berlin/Hei- delberg, 1981.
5E W, Ming P B, Zhang P W. Analwsis of the heterogeneous multiscale method for elliptic homogenization problems [ J ]. Jamer Math Soc, 2003, 18(1) :121 -156.
6Babuska I, Osborn J E. Generalized finite element methods: Their performance and their relation to mixed methods[ J]. SIAM Number Anal, 2003, 20(3) :510 -536.
7Hughes J R, Feijoo Gonzalo R, Mazzei Luea, et al. The variational muhiseale method -A paradigm for computational mechanics[ J]. Compt Methods Appl Meeh Engrg, 1998,166:3 - 24.
8Hou Y, Wu X H, Cai Z Q. Convergence of a multiscale finite Mathematics of Computation, 1999,68 ( 227 ) :913 - 943.
9Clarlet P G. The finite dement method for elliptic provlems[ J] element method for elliptic problems with rapidly oscillating coefficients [ J ] SIAM, 2002.

1王玲.线性热弹性系统解的存在性[J].河南科技,2013,32(12X):183-183.
2孟义平,蒋磊.一类非线性热弹性耦合系统的解的局部存在性[J].江苏科技大学学报（自然科学版）,2011,25(6):616-619.
3肖淳.热弹性方程的均匀化[J].湛江师范学院学报,2011,32(6):55-60.
4WeinanE BjornEngquist 叶其孝吴庆宝.多尺度建模与计算[J].数学译林,2004,23(1):21-32.
5王康,吴佰建,李兆霞.损伤跨尺度演化导致的混凝土强度尺寸效应[J].东南大学学报（自然科学版）,2014,44(6):1230-1234. 被引量：3
6HU Yuxi.Global Solvability in Thermoelasticity with Second Sound on the Semi-Axis[J].Journal of Partial Differential Equations,2012,25(2):139-170.
7Shi-Jun Zhi,Bing Sun,Jian-Wei Zhang.Multiscale modeling of heterogeneous propellants from particle packing tograin failure using a surface-based cohesive approach[J].Acta Mechanica Sinica,2012,28(3):746-759. 被引量：20
8方启平,白玉海,应崇福.固体中激光热弹超声的光穿透效应[J].声学学报,1996,21(2):165-173. 被引量：5
9张同斌,万建军.非均匀材料耦合热弹性问题解的存在唯一性[J].河南大学学报（自然科学版）,2009,39(3):231-234. 被引量：1
10万建军,肖留超,刘鸣放.复合材料耦合热弹性问题的多尺度方法[J].暨南大学学报（自然科学与医学版）,2010,31(3):235-237.

东莞理工学院学报

2013年第3期

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热弹性方程多尺度建模

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