无限大板孔边双裂纹应力强度因子和裂纹面张开位移

doi:10.7527/S1000-6893.2015.0132

固体力学与飞行器总体设计

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无限大板孔边双裂纹应力强度因子和裂纹面张开位移

祝青钰¹, 韩峰¹, 隋明丽²

1. 北京理工大学爆炸科学与技术国家重点实验室, 北京 100081;
2. 中国航空综合技术研究所, 北京 100028

收稿日期:2015-03-16 修回日期:2015-05-11 出版日期:2016-03-15 发布日期:2015-06-28
通讯作者: 韩峰,Tel.:010-68913956,E-mail:hhanfeng@bit.edu.cn E-mail:hhanfeng@bit.edu.cn
作者简介:祝青钰,男,博士研究生。主要研究方向:疲劳与断裂力学。Tel:010-68918281,E-mail:zqy985@126.com;韩峰,男,博士,教授,博士生导师。主要研究方向:固体力学。Tel:010-68913956,E-mail:hhanfeng@bit.edu.cn

Stress intensity factors and crack-surface opening displacements for two cracks emanating from a circular hole in an infinite plate

ZHU Qingyu¹, HAN Feng¹, SUI Mingli²

1. State Key Laboratory of Explosion Science and Technology, Beijing Institute of Technology, Beijing 100081, China;
2. China Aero-polytechnology Establishment, Beijing 100028, China

Received:2015-03-16 Revised:2015-05-11 Online:2016-03-15 Published:2015-06-28

摘要/Abstract

摘要：

针对航空结构中常见的孔边裂纹问题,利用Muskhelishvili复变函数法和有限截项法计算了无限大板内圆孔边任意长度双裂纹在任意角度远场均布拉伸应力情况下的复合型应力强度因子和裂纹面张开位移,并与相关文献的计算结果进行了对比。通过对应力强度因子计算数值的拟合,得到了无限大板内圆孔边任意长度共线双裂纹在远场应力作用下的应力强度因子拟合方程。结果表明,应用复变函数法和有限截项法计算应力强度因子和裂纹面张开位移,不仅适用于无限大板内孔边裂纹对称的情况,孔边裂纹不对称时同样适用,在工程断裂问题中有较好的应用价值。

关键词: 复变函数法, 远场应力, 孔边裂纹, 应力强度因子, 裂纹面张开位移

Abstract:

The purpose of this paper is to research the problems of cracks at a circular hole, which is a kind of common crack configuration in aircraft structures. The Muskhelishvili complex variable function method and the truncated conformal mapping approach are combined to calculate the mixed-mode stress intensity factors and crack-surface opening displacements for two cracks with arbitrary length emanating from a circular hole in an infinite plate under remote uniform tension in an arbitrary inclination, and the calculated results are compared with the results from relevant literature. By fitting calculated stress intensity factors, the fitting equations for stress intensity factor calculation of two cracks emanating from a circular hole in an infinite plate under remote uniform tension are developed. The results show that the complex variable function method and the truncated conformal mapping approach used to calculate stress intensity factors and crack surface opening displacements can be applied to two-symmetric(or asymmetric) cracks emanating from a circular hole in an infinite plate. So the method is of good valuable for engineering fracture problems.

Key words: complex variable function method, remote stress, hole edge cracks, stress intensity factor, crack-surface opening displacement

中图分类号:

V215

祝青钰, 韩峰, 隋明丽. 无限大板孔边双裂纹应力强度因子和裂纹面张开位移[J]. 航空学报, 2016, 37(3): 883-893.

ZHU Qingyu, HAN Feng, SUI Mingli. Stress intensity factors and crack-surface opening displacements for two cracks emanating from a circular hole in an infinite plate[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2016, 37(3): 883-893.

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E-mail：hkxb@buaa.edu.cn

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无限大板孔边双裂纹应力强度因子和裂纹面张开位移

Stress intensity factors and crack-surface opening displacements for two cracks emanating from a circular hole in an infinite plate

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