| 长圆柱中周期型环状裂纹尖端的奇异应力 |
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| 引用本文： | 郃卫华,李得环.长圆柱中周期型环状裂纹尖端的奇异应力[J].西北轻工业学院学报,1988(1). |
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| 作者姓名： | 郃卫华 李得环 |
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| 作者单位： | 北京航空学院工程力学系，西北轻工业学院机械系 |
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| 摘 要： | 本文采用奇异积分方程方法研究了含周期型环边裂纹长圆柱的轴对称拉伸问题。假定裂纹表面均匀受压,圆柱表面应力自由。首先使用积分变换将此边值问题化为求解一个奇异积分方程,然后将未知函数表示为Jacobi多项式的级数形式,得到一组线性代数方程;求解后得到裂纹尖端的奇异应力分布和应力强度因子的数值结果,与类似的工作相比,本文给出的结果令人满意。
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| 关 键 词： | 环边裂纹 应力强度因子 奇异积分方程 长圆柱体 |
Singular Stresses in a Long Circular Cylinder with an Infinite Row of Circumferential Edge Cracks |
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| Tai wei-hua Li De-huan Beijing Institute of Aeronautics and Astronautics.Singular Stresses in a Long Circular Cylinder with an Infinite Row of Circumferential Edge Cracks[J].Journal of Northwest University of Light Industry,1988(1). |
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| Authors: | Tai wei-hua Li De-huan Beijing Institute of Aeronautics and Astronautics |
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| Affiliation: | Tai wei-hua Li De-huan Beijing Institute of Aeronautics and Astronautics |
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| Abstract: | A crack problem in the case of a circular cylinder having an infinite row of circumferential cracks under tension are analyzed in this study, by the integral equation method. The cracks are assumed to be arrayed periodically in the direction of the cylinder axis and opened by the same inner pressure on each of their surfaces, and the stresses of cylinder surface is free The problen is first reduced to that of solving a sjngular integral equation. By the way of expanding the unknown function into a Jacobi polynomial, the singular integral equation is further reduced to the infinite system of algebraic equations for the determinatiou of the unknown coefficients. Then, the singular stresses and stress intensity factor are obtained as the functions of c/b and 1/b ratios, and an agreement is found comparing with the results given by Nisitani and Noda. |
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| Keywords: | edge crack stress intensity factor singular integral equation long circular cylinder |
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