| 含圆形孔口和水平直裂纹的平面问题的应力分析 |
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| 引用本文： | 高健,刘官厅.含圆形孔口和水平直裂纹的平面问题的应力分析[J].数学的实践与认识,2014(2). |
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| 作者姓名： | 高健 刘官厅 |
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| 作者单位： | 内蒙古民族大学数学学院;内蒙古师范大学数学科学学院; |
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| 基金项目： | 国家自然科学基金(11262017) |
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| 摘 要： | 利用复变函数方法和积分方程理论研究了既含有圆形孔口又含有水平裂纹的无限大平面的平面弹性问题,将复杂的解析函数的边值问题化成了求解只在裂纹上的奇异积分方程的问题.此外,还给出了裂纹尖端附近的应力场和应力强度因子的公式.
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| 关 键 词： | 复变函数方法 积分方程 奇异积分方程 应力强度因子 |
Stress Analysis of Plane Problem for a Circular Hole and a Straight Crack |
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| Abstract: | The plane elastic problem of an infinite plane with a circular hole and a straight crack is investigated by using the complex variable method and integral equation theory.The comphcated boundary value problem of analytic functions was transformed into the problem of a singular integral equation only on the crack.In addition,the stress field near the crack tip and the formula for the stress intensity factor are also derived. |
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| Keywords: | complex variable function method integral equation singular integral equation stress intensity factor |
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