| 层状结构区域中第二类边值问题均匀化 |
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| 引用本文： | 冯永平,张晓超,邓明香.层状结构区域中第二类边值问题均匀化[J].广州大学学报(自然科学版),2008,7(3):22-25. |
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| 作者姓名： | 冯永平 张晓超 邓明香 |
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| 作者单位： | 广州大学,数学与信息科学学院,广东,广州,510006 |
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| 基金项目： | 广东省自然科学基金
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广东省广州市教育局科技基金 |
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| 摘 要： | 在力学、材料科学与各向异性的材料研究中经常碰到具有层状分布的材料,讨论其均匀化行为至关重要.文章利用渐近分析的方法讨论了层状结构区域中Neumann边值问题的均匀化,并得到了均匀化解相应的渐近误差估计.
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| 关 键 词： | 层状结构 均匀化 G-收敛 stratified structure homogenization G-convergence |
Homogenization of the Neumann problem of stratified structure |
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| FENG Yong-ping,ZHANG Xiao-chao,DENG Ming-xiang.Homogenization of the Neumann problem of stratified structure[J].Journal og Guangzhou University:Natural Science Edition,2008,7(3):22-25. |
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| Authors: | FENG Yong-ping ZHANG Xiao-chao DENG Ming-xiang |
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| Abstract: | The boundary value problems of partial differential equations with the coefficients of strati- fied structure are often encountered in many research subbranches of mechanics, especially of compos- ite materials and some non-homogeneous media. Homogenized solution of Neumann problem for strati- fied structures and their corresponding homogenized system are given by means of asymptotic analysis in this paper. |
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| Keywords: | stratified structure homogenization G-convergence |
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