| 部分边界受力情形下带对称双裂纹的圆形孔口问题的解析研究 |
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| 引用本文： | 赵新平,刘官厅.部分边界受力情形下带对称双裂纹的圆形孔口问题的解析研究[J].内蒙古师范大学学报(自然科学版),2010,39(1):11-17. |
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| 作者姓名： | 赵新平 刘官厅 |
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| 作者单位： | 内蒙古师范大学数学科学学院; |
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| 基金项目： | 国家自然科学基金资助项目(10761005);;内蒙古自然科学基金资助项目(2009MS0102) |
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| 摘 要： | 利用复变函数方法,通过构造保角映射,研究了只在孔边受到均匀压力而裂纹面上不受力的情形下,带对称双裂纹的圆形孔口的平面弹性问题,给出复应力函数的精确表达式及应力场的解析表示,求得了裂纹尖端应力强度因子的解析解.在极限情况下,所得结果可以还原为在孔边及裂纹上均受到均匀压力时带对称双裂纹的圆形孔口问题.
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| 关 键 词： | 带对称双裂纹圆形孔口 部分边界受力 应力强度因子 保角映射 解析解 |
Analytic Study for the Problem of a Circular Hole with Two Symmetric Cracks under Pressure on Part of Boundary |
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| ZHAO Xin-ping,LIU Guan-ting.Analytic Study for the Problem of a Circular Hole with Two Symmetric Cracks under Pressure on Part of Boundary[J].Journal of Inner Mongolia Normal University(Natural Science Edition),2010,39(1):11-17. |
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| Authors: | ZHAO Xin-ping LIU Guan-ting |
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| Institution: | College of Mathematics Science;Inner Mongolia Normal University;Hohhot 010022;China |
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| Abstract: | By means of complex variable function method,this paper deals with the plane elasticity problem of a circular hole with two straight cracks and the uniform pressure only acts on the circular hole.The analytic solutions of complex stress functions are obtained,the analytic expressions of the stress fields are given,and the analytic solutions of the stress intensity factors at the crack tip are determined.Under the limiting conditions,our results can give the case of pressure acting on all boundary. |
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| Keywords: | a circular hole with two cracks pressure on parts boundary stress intensity factors conformal mapping analytic solutions |
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