| 带双裂纹的椭圆孔口问题的应力分析 |
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| 引用本文： | 郭俊宏,刘官厅. 带双裂纹的椭圆孔口问题的应力分析[J]. 力学学报, 2007, 39(5): 699-703. DOI: 10.6052/0459-1879-2007-5-2007-017 |
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| 作者姓名： | 郭俊宏 刘官厅 |
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| 作者单位： | 内蒙古师范大学数学科学学院,呼和浩特,010022;内蒙古师范大学数学科学学院,呼和浩特,010022 |
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| 基金项目： | 国家自然科学基金，内蒙古自然科学基金 |
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| 摘 要： | 利用复变方法,通过构造新的保角映射,研究了带双裂纹椭圆孔口的平面弹性问 题,得到了I型与II型裂纹问题应力强度因子的解析解.在极限情形下, 不仅可以还原经典的Griffith裂纹的结果,而且可模拟出十字裂纹和带双裂纹的圆 形孔口问题.
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| 关 键 词： | 带双裂纹的椭圆孔口 十字裂纹 应力强度因子 保角映射 解析解 |
| 文章编号： | 0459-1879（2007）05-0699-05 |
| 收稿时间： | 2007-01-09 |
| 修稿时间： | 2007-01-09 |
STRESS ANALYSIS FOR AN ELLIPTICAL HOLE WITH TWO STRAIGHT CRACKS |
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| Guo Junhong,Liu Guanting. STRESS ANALYSIS FOR AN ELLIPTICAL HOLE WITH TWO STRAIGHT CRACKS[J]. chinese journal of theoretical and applied mechanics, 2007, 39(5): 699-703. DOI: 10.6052/0459-1879-2007-5-2007-017 |
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| Authors: | Guo Junhong Liu Guanting |
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| Affiliation: | College of Mathematical Science,Inner Mongolia Normal University,Huhhot 010022,China |
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| Abstract: | Using the complex variable function method and the technique of conformalmapping which transforms the complicated region in physical planeonto the interior of the unit circle in $zeta$ plane, then based on Cauchy integral theory, the plane elasticity problem of anelliptical hole with two straight cracks is solved, and the analyticsolutions of the stress intensity factors for mode Iand mode II problems are obtained. Under the limiting conditions, the present results are reduced tothe results of the well-known Griffith cracks. Moreover, they include the cross crack and the circular hole withtwo straight cracks. Analytic solutions obtained in thispaper are useful in materials science and engineering. |
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| Keywords: | elliptical hole with two straight cracks cross crack SIFs conformal mapping analytic solution |
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