| 夹杂和裂纹的相互作用及端点相交的奇性性态分析 |
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| 引用本文： | 陶敏,汤任基. 夹杂和裂纹的相互作用及端点相交的奇性性态分析[J]. 应用数学和力学, 2001, 22(5): 483-492 |
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| 作者姓名： | 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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| 基金项目： | 国家自然科学基金资助项目（19572022）；国家重点基础研究发展规划资助项目（G1998030600）；教育部博士点基金资助项目（98014119） |
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| 摘 要： | 利用单根裂纹和单根夹杂的基本解，通过弹性力学的线性叠加原理，将平面裂纹和夹杂相互作用的问题归结为解一组带有柯西型奇异积分的积分方程组，计算了裂纹和夹杂端点的应力强度因子，给出了一些数值例子，并对夹杂和裂纹水平接触时的情形作了奇性分析，结果可作为研究夹杂尖端引起的裂纹及其扩展的工程分析的计算模型。
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| 关 键 词： | 裂纹 夹杂 相互作用 应力强度因子 水平接触 奇性性态分析 积分方程组 |
| 文章编号： | 1000-0887(2001)05-0483-10 |
| 修稿时间： | 1999-11-01 |
The Crack-InclusionInteraction and the Analysis of Singularity for the Horizontal Contact |
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| TAO Fang_ming,TANG Ren_ji. The Crack-InclusionInteraction and the Analysis of Singularity for the Horizontal Contact[J]. Applied Mathematics and Mechanics, 2001, 22(5): 483-492 |
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| Authors: | TAO Fang_ming TANG Ren_ji |
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| Abstract: | Using the basic solutions of a single crack and a single inclusion, and making use of the principle of linear superposition of elastic mechanics, the interaction problem between a planar crack and a flat inclusion in an elastic solid is studied. The problem is reduced to solve a set of standard Cauchy_type singular equations. And the stress intensity factors at points of crack and inclusion were obtained. Besides, the singularity for the horizontal contact of crack and inclusion was analyzed. The calculating model put forward can be regarded as a new technique for studying the crack and its expanding caused by inclusion tip. Then several numerical examples are given. |
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| Keywords: | crack inclusion interaction the horizontal contact singularity analyse stress intensity factor |
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