| 具有环向切口圆柱形杆的二次曲面坐标解 |
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| 引用本文： | 李有堂,郎福元,芮执元.具有环向切口圆柱形杆的二次曲面坐标解[J].兰州理工大学学报,1994(3). |
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| 作者姓名： | 李有堂 郎福元 芮执元 |
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| 作者单位： | 甘肃工业大学裂纹研究所 |
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| 摘 要： | 切口类缺陷是造成构件断裂破坏的主要原因之一，也是断裂设计的核心内容。文中提出了同环向切口相适应的二次曲面坐标，利用Ｇａｌｅｒｋｉｎ位移函数的演变形式导出了具有环向切口圆柱形杆的应力和位移分量。通过选取适当的位移函数，可以解决具有环向切口圆柱形杆的各种问题，从而为该类构件的安全设计和断裂设计提供依据，作为算例，还求解了具有环向切口圆柱形杆的扭转问题。
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| 关 键 词： | 环向切口 应力集中 二次曲面坐标 断裂设计 扭转问题 |
The Solution of Cylindrical Bar With Annular Notch in Quadric Coordinates |
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| Li YOutang,Lang Fuyuan,Rui Zhiyuan.The Solution of Cylindrical Bar With Annular Notch in Quadric Coordinates[J].Journal of Lanzhou University of Technology,1994(3). |
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| Authors: | Li YOutang Lang Fuyuan Rui Zhiyuan |
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| Abstract: | The notch is not only one of the primary reasons of component fracture,but alsothe nucleus in fracture design.Aquadric coordinate system suited for annular notch is pro-posed and the stress and displacement component of cylindrical bar with annular notch arederived by using the modified Galerkin displacement function. This method can be used tosolve various problems of cylindrical bar with annular notch by selecting an appropriate dis-placement function and provides the basis for safe design and fracture design of this kind ofcomponents. A solution of twist problem of cylinderical bar with annular notch is illustratedas a demonstration of the method presented. |
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| Keywords: | nnular notch stress concentration quadric coordinates fracture design twistproblem |
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