| 含孔边裂纹有限大板的解析变分解法 |
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| 引用本文： | 赖俊彪,张行,何庆芝.含孔边裂纹有限大板的解析变分解法[J].航空学报,1990,11(9):496-504. |
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| 作者姓名： | 赖俊彪 张行 何庆芝 |
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| 作者单位： | 北京航空航天大学
(赖俊彪，张行)，北京航空航天大学(何庆芝) |
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| 摘 要： | 本文利用复变函数方法导出了含孔边单侧裂纹有限大板应力与位移的全场表达式,满足所有基本方程、裂纹表面边界条件与复连通域位移单值条件。应用变分原理满足其余的边界条件并由此求解应力强度因子与应力集中系数。在变分方程中,只存在线积分,没有面积分。故本方法收敛迅速、节省机时。
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| 关 键 词： | 孔边裂纹 位移单值条件 变分解法 |
ANALYTICAL-VARIATIONAL METHOD OF SOLUTION FOR FINITE PLATES WITH SINGLE HOLE-EDGE CRACK |
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| Beijing University of Aeronautics and Astronautics Lai Junbiao Zhang Xing and He Qingzhi.ANALYTICAL-VARIATIONAL METHOD OF SOLUTION FOR FINITE PLATES WITH SINGLE HOLE-EDGE CRACK[J].Acta Aeronautica et Astronautica Sinica,1990,11(9):496-504. |
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| Authors: | Beijing University of Aeronautics and Astronautics Lai Junbiao Zhang Xing and He Qingzhi |
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| Institution: | Beijing University of Aeronautics and Astronautics Lai Junbiao Zhang Xing and He Qingzhi |
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| Abstract: | In this paper, a complex variable method is used to derive the expressions of stress and displacement field of a finite plate containing a single holeedge crack. In the derivation of solution, the equations of equilibrium and compatibility, the traction free condition on crack surfaces and the single valued condition of displacement are satisfied. The coefficients of series are determined by principle of minimum potential energy. In the variational equation, there is only line integral. The results converge to the correct values rapidly. |
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| Keywords: | hole-edge crack single valued condition of displace-ment variable method |
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