| 奇异热流密度场的数值分析(Ⅱ)——热流密度场强度因子的计算 |
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| 引用本文： | 王海涛,杨笑梅.奇异热流密度场的数值分析(Ⅱ)——热流密度场强度因子的计算[J].华南理工大学学报(自然科学版),2007,35(3):143-149. |
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| 作者姓名： | 王海涛 杨笑梅 |
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| 作者单位： | 1. 华南理工大学,土木工程系,广东,广州,510640
2. 广东工业大学,建设学院,广东,广州,510006 |
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| 基金项目： | 华南理工大学校科研和教改项目 |
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| 摘 要： | 采用稳态热传导问题的杂交有限元列式构造了奇异热流密度场单元,利用该单元可以高效、准确地计算热流密度场强度因子.在该杂交有限元的列式中,假设热流密度场由前期提出的一维有限元方法计算得到的特征解推导而来.一系列的数值算例表明,采用奇异热流密度场单元,仅需要很稀疏的有限元网格就可以得到非常精确的结果,说明所提出的方法是有效而可靠的.
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| 关 键 词： | 有限元 热传导 强度因子 变分原理 杂交元 |
| 文章编号： | 1000-565X（2007）03-0143-07 |
| 修稿时间： | 2006-01-18 |
Numerical Analysis of Singular Heat Flux Field (Ⅱ) : Computation of Heat Flux Intensity Factors |
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| Wang Hai-Tao,Yang Xiao-mei.Numerical Analysis of Singular Heat Flux Field (Ⅱ) : Computation of Heat Flux Intensity Factors[J].Journal of South China University of Technology(Natural Science Edition),2007,35(3):143-149. |
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| Authors: | Wang Hai-Tao Yang Xiao-mei |
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| Institution: | 1. Dept. of Civil Engineering, South China Univ. of Tech. , Guangzhou 510640, Guangdong China; 2. Faculty of Construetion Engineering, Guangdong Univ. of Teeh. , Guangzhou 510006, Guangdong, China |
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| Abstract: | In this paper,singular heat flux elements are developed from a hybrid finite-element variational function for static heat conduction problems.With the developed element,the heat flux intensity factor can be effectively and correctly predicted.The assumed heat flux field in the formulation of singular heat flux elements are based on the eigenpairs computed via the one-dimension finite-element procedure presented before.A series of numerical examples indicates that the proposed singular heat flux elements help to find solutions with a high accuracy through coarse meshes,and that the proposed method is effective and reliable. |
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| Keywords: | finite element heat conduction intensity factor variational principle hybrid element |
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