| ANALYTICAL SOLUTIONS TO STRESS CONCENTRATION PROBLEM IN PLATES CONTAINING RECTANGULAR HOLE UNDER BIAXIAL TENSIONS |
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| 作者单位： | Yi Yang (School of Civil Engineering and Transportation，South China University of Technology，Guangzhou 510640，China)Jike Liu1 Chengwu Cai (Department of Mechanics，Sun Yat-sen University，Guangzhou 510275，China) |
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| 基金项目： | 国家自然科学基金
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中国博士后科学基金
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| 摘 要： | The stress concentration problem in structures with a circular or elliptic hole can be investigated by analytical methods. For the problem with a rectangular hole, only approximate results are derived. This paper deduces the analytical solutions to the stress concentration problem in plates with a rectangular hole under biaxial tensions. By using the U-transformation technique and the finite element method, the analytical displacement solutions of the finite element equations are derived in the series form. Therefore, the stress concentration can then be discussed easily and conveniently. For plate problem the bilinear rectangular element with four nodes is taken as an example to demonstrate the applicability of the proposed method. The stress concentration factors for various ratios of height to width of the hole are obtained.
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| 关 键 词： | U转换 应力集中 矩形空穴 分析解 |
| 收稿时间： | 11 January 2008 |
ANALYTICAL SOLUTIONS TO STRESS CONCENTRATION PROBLEM IN PLATES CONTAINING RECTANGULAR HOLE UNDER BIAXIAL TENSIONS |
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| Authors: | Yi Yang Jike Liu Chengwu Cai |
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| Institution: | [1]School of Civil Engineering and Transportation, South China University of Technology, Guangzhou 510640, China [2]Department of Mechanics, Sun Yat-sen University, Guangzhou 510275, China |
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| Abstract: | The stress concentration problem in structures with a circular or elliptic hole can be investigated by analytical methods. For the problem with a rectangular hole, only approximate results are derived. This paper deduces the analytical solutions to the stress concentration problem in plates with a rectangular hole under biaxial tensions. By using the U-transformation technique and the finite element method, the analytical displacement solutions of the finite element equations are derived in the series form. Therefore, the stress concentration can then be discussed easily and conveniently. For plate problem the bilinear rectangular element with four nodes is taken as an example to demonstrate the applicability of the proposed method. The stress concentration factors for various ratios of height to width of the hole are obtained. |
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| Keywords: | U-transformation stress concentration rectangular hole analytical solution biaxial tension |
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