| 周期张开型平行裂纹问题研究 |
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| 引用本文： | 肖俊华,蒋持平.周期张开型平行裂纹问题研究[J].力学学报,2007,39(2):278-282. |
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| 作者姓名： | 肖俊华 蒋持平 |
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| 作者单位： | 北京航空航天大学固体力学研究所 北京航空航天大学508教研室 |
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| 基金项目： | 国家自然科学基金，航空基础科学基金 |
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| 摘 要： | 研究无限介质中周期平行裂纹问题，利用复应力函数在集中载荷作用点和裂纹尖端
的奇异性分析及双曲函数的周期性质，求得了问题在远场作用均匀载荷时裂纹尖端应力强度
因子的精确闭合形式解，并与已有的数值结果进行了比较. 其结果对于研究多裂纹的干
涉作用以及结构和材料的强度设计具有重要的实用价值.
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| 关 键 词： | 周期裂纹 平行裂纹 张开型 应力强度因子 双曲函数 |
| 文章编号： | 0459-1879（2007）02-0278-05 |
| 收稿时间： | 2006-03-13 |
| 修稿时间： | 2006-08-04 |
STUDY ON THE PROBLEM OF PERIODIC OPEN TYPE PARALLEL CRACKS |
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| Xiao Junhua,Jiang Chiping.STUDY ON THE PROBLEM OF PERIODIC OPEN TYPE PARALLEL CRACKS[J].chinese journal of theoretical and applied mechanics,2007,39(2):278-282. |
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| Authors: | Xiao Junhua Jiang Chiping |
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| Institution: | Institute of Solid Mechanics, Beijing University of Aeronautics and Astronauties, Beijing 100083, China |
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| Abstract: | Periodic parallel cracks in an infinite medium under far-field inplane tensile stress are investigated. By using the singular analysis of the complex stress function at the concentrated load point and the tips of cracks, as well as combining periodicity of the hyperbolic function, a closed form solution of the stress intensity factor to the problem is obtained. A comparison of the present solution with existing numerical results shows a good agreement, which indicates the validity of the complex stress function. The present Solution can be used to study the interaction of multi-cracks and the structural integrity assessment. |
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| Keywords: | periodic crack parallel crack opening type stress intensity factor hyperbolic function |
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