| 一类随机复合材料稳态热传导问题的均匀化方法 |
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| 引用本文： | 刘红生,程伟,宋士仓.一类随机复合材料稳态热传导问题的均匀化方法[J].郑州大学学报(理学版),2005,37(3):11-14,27. |
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| 作者姓名： | 刘红生 程伟 宋士仓 |
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| 作者单位： | 1. 郑州大学数学系,郑州,450001
2. 信阳职业技术学院数学与计算机系,河南,信阳,464000 |
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| 摘 要： | 针对二维单向随机复合材料的稳态热传导问题给出了一种均匀化方法,证明了均匀化方法的合理性.这种方法不仅给出了材料物理参数的均匀化估计,而且从数值计算的角度来看,求解均匀化方程时网格剖分的正则性要求容易满足.
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| 关 键 词： | 均匀化 椭圆问题 复合材料 |
| 文章编号： | 1671-6841（2005）03-0011-04 |
| 收稿时间： | 10 10 2004 12:00AM |
| 修稿时间： | 2004-10-10 |
The Homogenization Method of Steady Heat Transfer Problem for a Class of Composite Materials |
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| Liu Hongsheng,Cheng Wei,Song Shicang.The Homogenization Method of Steady Heat Transfer Problem for a Class of Composite Materials[J].Journal of Zhengzhou University:Natural Science Edition,2005,37(3):11-14,27. |
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| Authors: | Liu Hongsheng Cheng Wei Song Shicang |
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| Abstract: | A homogenization method to the two dimensional steady heat transfer problem for the random layer composite materials is presented ,and the validity of this scheme is proved. The advantage can not only easily find numerical solution for the homogenization equation,but give the expressions of equivalent average physics parameters for the composite materials as well. |
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| Keywords: | homogenization elliptic problem composite materials |
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