| 裂纹与线夹杂垂直接触问题的奇性分析 |
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| 引用本文： | 沈安,陶敏,汤任基.裂纹与线夹杂垂直接触问题的奇性分析[J].应用数学和力学,2001,22(6):561-566. |
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| 作者姓名： | 沈安 陶敏 汤任基 |
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| 作者单位： | 上海交通大学工程力学系, |
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| 摘 要： | 以短纤维复合等作为工程背景，采用现有文献中单裂纹和单夹杂的基本解，对于限平项（基体）上，裂纹和线夹杂的垂直接触问题从断理解力学的角度作了研究，得到了问题的积分方程，推出了接触点的性线指数，奇性应力及以此表示的接触点附近三个区域内的应力强度因子表达式，并给出一些数值结果，可供工程实际参考。
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| 关 键 词： | 裂纹 线夹杂 垂直接触 奇性应力 应力强度因子 短纤维复合材料 断裂力学 应力分析 |
| 文章编号： | 1000-0887(2001)06-0561-06 |
| 修稿时间： | 1999年12月3日 |
Analyses of the
Singularity for the Vertical Contact Problem of Line Crack-Inclusion |
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| SHEN An,TAO Fang-min,TANG Ren-ji.Analyses of the
Singularity for the Vertical Contact Problem of Line Crack-Inclusion[J].Applied Mathematics and Mechanics,2001,22(6):561-566. |
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| Authors: | SHEN An TAO Fang-min TANG Ren-ji |
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| Abstract: | Taking the short_fiber composite materials as engineering back_ground, utilizing the existing basic solutions of single inclusion and single crack, the plane problem of vertical contact interactions between line crack and rigid line inclusion in infinite plane (matrix) from the viewpoint of crack fracture mechanics is studied. According to boundary conditions, a set of standard Cauchy_type singular integral equations of the problem is obtainable. Besides, singular indexes, stresses and stress intensity factors around the contact point are expressed. Numerical examples are given to provide references to engineering. |
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| Keywords: | crack line inclusion the vertical contact point singular stress stress intensity factor |
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