## 留言板

 引用本文: 段士杰, 刘淑红. 剪切荷载作用下圆孔孔边裂纹的解[J]. 应用数学和力学, 2016, 37(7): 740-747.
DUAN Shi-jie, LIU Shu-hong. Solutions for a Circular Hole With Edge Cracks Under Shear Load[J]. Applied Mathematics and Mechanics, 2016, 37(7): 740-747. doi: 10.21656/1000-0887.360352
 Citation: DUAN Shi-jie, LIU Shu-hong. Solutions for a Circular Hole With Edge Cracks Under Shear Load[J]. Applied Mathematics and Mechanics, 2016, 37(7): 740-747.

## 剪切荷载作用下圆孔孔边裂纹的解

##### doi: 10.21656/1000-0887.360352

###### 作者简介:段士杰（1968—），男，副教授(E-mail: dsj1968@sohu.com);刘淑红（1968—），女，教授，博士，硕士生导师(通讯作者. E-mail: liush@stdu.edu.cn).
• 中图分类号: O346.1

## Solutions for a Circular Hole With Edge Cracks Under Shear Load

• 摘要: 基于复变函数的方法，研究了在无限远处剪切荷载作用下，含两个径向不等边裂纹圆孔无限大板的平面问题，得到了应力函数和应力强度因子的解析解.通过算例，给出了通过应力函数得到的应力分量沿坐标轴方向和孔边的分布，同时给出了裂纹尖端的应力强度因子.可以看出，应力分量在裂纹尖端、孔附近变化剧烈，离缺陷稍远处趋于所加荷载，符合Saint Venant(圣维南)原理.另外，通过有限元计算了以上数值结果，与解析解的结果进行对比，吻合较好，说明了理论公式推导的正确性.
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##### 出版历程
• 收稿日期:  2015-12-24
• 修回日期:  2016-02-16
• 刊出日期:  2016-07-15

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