Two-dimensional elastic analysis of doubly periodic circular holes in infinite plane

被引:14
作者
Chen, YZ
Lee, KY [1 ]
机构
[1] Yonsei Univ, Dept Chem, Seoul 120749, South Korea
[2] Jiangsu Univ Sci & Technol, Div Engn Mech, Zhenjiang, Jiangsu, Peoples R China
来源
KSME INTERNATIONAL JOURNAL | 2002年 / 16卷 / 05期
关键词
notch problem; complex mixed boundary value problem; effective elastic properties;
D O I
10.1007/BF03184815
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
Two-dimensional elastic analysis of doubly periodic circular holes in an infinite plane is given in this paper. Two cases of loading, remote tension and remote shear, are considered. A rectangular cell is cut from the infinite plane. In both cases, the boundary value problem can be reduced to a complex mixed one. It is found that the eigenfunction expansion variational method is efficient to solve the problem. Based on the deformation response under certain loading, the notched medium could be modeled by an orthotropic medium without holes. Elastic properties for the equivalent orthotropic medium are investigated, and the stress concentration along the hole contour is studied. Finally, numerical examples and results are given.
引用
收藏
页码:655 / 665
页数:11
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