| A numerical method for multiple cracks in an infinite elastic plate |
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| 作者姓名： | 闫相桥 武海鹏 |
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| 作者单位： | Research Laboratory on Composite Materials, Harbin Institute of Technology, Harbin 150001, China |
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| 基金项目： | Sponsored by the National Natural Science Foundation of China （Grant No. 10272037） and the Natural Science Fonndation of Heilongjiang （Grant No. A-02-05 ）. |
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| 摘 要： | This article examines the interaction of multiple cracks in an infinite plate by using a numerical method. The numerical method consists of the non-singular displacement discontinuity element presented by Crouch and Startled and the crack tip displacement discontinuity elements proposed by the author. In the numerical method implementation, the left or the right crack tip element is placed locally at the corresponding left or right crack tip on top of the constant displacement discontinuity elements that cover the entire crack surface and the other boundaries. The numerical method is called a hybrid displacement discontinuity method. The following test examples of crack problems in an infinite plate under tension are included： “ center-inclined cracked plate”, “interaction of two collinear cracks with equal length”, “interaction of three collinear cracks with equal length”, “interaction of two parallel cracks with equal length”, and “interaction of one horizontal crack and one inclined crack”. The present numerical results show that the numerical method is simple yet very accurate for analyzing the interaction of multiple cracks in an infinite plate.
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| 关 键 词： | 多重裂纹 弹性金属板 压力强度因素 边界元素 复合材料 |
| 文章编号： | 1005-9113（2005）04-0351-07 |
| 收稿时间： | 2003-05-20 |
A numerical method for multiple cracks in an infinite elastic plate |
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| YAN Xiang-qiao,WU Hai-peng.A numerical method for multiple cracks in an infinite elastic plate[J].Journal of Harbin Institute of Technology,2005,12(4):351-357. |
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| Authors: | YAN Xiang-qiao WU Hai-peng |
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| Abstract: | This article examines the interaction of multiple cracks in an infinite plate by using a numerical method. The numerical method consists of the non-singular displacement discontinuity element presented by Crouch and Starfied and the crack tip displacement discontinuity elements proposed by the author. In the numerical method implementation, the left or the right crack tip element is placed locally at the corresponding left or right crack tip on top of the constant displacement discontinuity elements that cover the entire crack surface and the other boundaries. The numerical method is called a hybrid displacement discontinuity method. The following test examples of crack problems in an infinite plate under tension are included: "center-inclined cracked plate", "interaction of two collinear cracks with equal length", "interaction of three collinear cracks with equal length", "interaction of two parallel cracks with equal length", and "interaction of one horizontal crack and one inclined crack". The present numerical results show that the numerical method is simple yet very accurate for analyzing the interaction of multiple cracks in an infinite plate. |
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| Keywords: | multiple cracks stress intensity factor boundary element method crack tip element displacement discontinuity method |
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