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

本期目录 | 过刊浏览 | 高级检索

前一篇 | 后一篇

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.

参考文献

[1] BOWIE O L. Analysis of an infinite plate containing radial cracks originating from the boundary of an internal circular hole[J]. Journal of Mathematics and Physics, 1956, 35(1):60-71.
[2] BOWIE O L. Rectangular tensile sheet with symmetric edge cracks[J]. Journal of Applied Mechanics, 1964, 31(2):208-212.
[3] HSU Y C. The infinite sheet with cracked cylindrical hole under inclined tension or in-plate shear[J]. International Journal of Fracture, 1975, 11(4):571-581.
[4] HSU Y C. The infinite sheet with two radial cracks from cylindrical hole under inclined tension or in-plate shear[J]. International Journal of Fracture, 1977, 13(6):839-845.
[5] NEWMAN J C, Jr. An improved method of collocation for the stress analysis of cracked plates with various shaped boundaries:NASA TN D-6376[R]. Washington, D.C.:NASA, 1971.
[6] NEWMAN J C, Jr. A nonlinear fracture mechanics approach to the growth of small cracks:AGARD CP-328[R]. France:AGARD, 1983.
[7] NISITANI H, ISIDA M. Stress intensity factor for the tension of an infinite plate containing an elliptical hole with two symmetrical edge cracks[J]. Transactions of the Japan Society of Mechanical Engineers, 1973, 39(317):7-14.
[8] WU X R, CARLSSON A J. Weight functions and stress intensity factor solutions[M]. Oxford:Pergamon Press, 1991:209-286.
[9] 闫相桥. 双轴载荷作用下源于椭圆孔的分支裂纹的一种边界元分析[J]. 固体力学学报, 2004, 25(4):430-434. YAN X Q. A boundary element analysis of a pair of branching cracks emanating from an elliptical hole under biaxial loads[J]. Acta Mechanica Solid Sinica, 2004, 25(4):430-434(in Chinese).
[10] YAN X Q. An empirical formula for stress intensity factors of cracks emanating from a circular hole in a rectangular plate in tension[J]. Engineering Failure Analysis, 2007,14(5):935-940.
[11] YAN X Q. A numerical analysis of cracks emanating from an elliptical hole in a 2-D elasticity plate[J]. European Journal of Mechanics-A/Solids, 2006, 25(1):142-153.
[12] 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. GUO J H, LIU G T. Stress analysis for an elliptical hole with two straight cracks[J]. Acta Mechanica Sinica, 2007, 39(5):699-703(in Chinese).
[13] YAMADA Y, ZIEGLER B, NEWMAN J C, Jr. Application of a strip-yield model to predict crack growth under variable amplitude and spectrum loading, Part 1:Compact specimens[J]. Engineering Fracture Mechanics, 2011, 78(14):2597-2608.
[14] ZIEGLER B, YAMADA Y, NEWMAN J C, Jr. Application of a strip-yield model to predict crack growth under variable amplitude and spectrum loading, Part 2:Middle-crack-tension specimens[J]. Engineering Fracture Mechanics, 2011, 78(14):2609-2619.
[15] WILLIAMS T N, NEWMAN J C, Jr, GULLETT P M. Crack-surface displacements for cracks emanating from a circular hole under various loading conditions[J]. Fatigue & Fracture of Engineering Materials & Structures, 2011, 34(4):250-259.
[16] 童第华, 吴学仁. 无限大板圆孔边双裂纹的裂纹面位移权函数解[J]. 航空学报, 2013, 34(10):2341-2348. TONG D H, WU X R. Weight function solutions of crack surface displacements for double cracks emanating from a circular hole in an infinite plate[J]. Acta Aeronautica et Astronautica Sinica, 2013, 34(10):2341-2348(in Chinese).
[17] TONG D H, WU X R. Determination of crack surface displacements for cracks emanating from a circular hole using weight function method[J]. Fatigue & Fracture of Engineering Materials & Structures, 2013, 36(4):340-348.
[18] MUSKHELISHVILI N I. Some basic problems of mathematical theory of elasticity[M]. Gorningen, Holland:Noordhoff International Publishing, 1953:148-162.
[19] 范天佑. 断裂理论基础[M]. 北京:科学出版社, 2003:20-112. FAN T Y. Foundation of fracture theory[M]. Bejing:Science Press, 2003:20-112(in Chinese).
[20] ZHAO J F, XIE L Y. A method for stress intensity factor calculation of infinite plate containing multiple hole edge cracks[J]. International Journal of Fatigue, 2012, 35(1):2-9.

E-mail：hkxb@buaa.edu.cn

关于我们

期刊社服务

专业学科

封面文章

友情链接

主管单位：中国科学技术协会主办单位：中国航空学会北京航空航天大学

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

PDF (PC)

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

编辑推荐

Metrics

本文评价

[1]	赵鋆赫, 王生楠. 基于深度学习的权函数法应力强度因子求解[J]. 航空学报, 2023, 44(19): 228367-228367.
[2]	冯振宇, 柴崇博, 邹君, 牟浩蕾. 含多裂纹对接板应力强度因子三维有限元分析[J]. 航空学报, 2021, 42(5): 524250-524250.
[3]	段佳桐, 隋福成, 刘汉海, 解放, 欧阳天, 鲍蕊. 弯曲载荷下薄壁结构疲劳裂纹扩展性能[J]. 航空学报, 2021, 42(5): 524326-524326.
[4]	赵晓辰, 吴学仁, 童第华, 徐武, 陈勃, 胡本润. 无限板孔边裂纹问题的高精度解析权函数解[J]. 航空学报, 2018, 39(9): 221976-221987.
[5]	李政鸿, 徐武, 张晓晶, 余音. 多孔多裂纹平板的疲劳裂纹扩展试验与分析方法[J]. 航空学报, 2018, 39(7): 221867-221867.
[6]	刘双燕, 李玉龙, 薛璞, 石霄鹏. 裂纹参数和筋条布局对共振九宫板动态应力强度因子的影响[J]. 航空学报, 2018, 39(1): 221423-221423.
[7]	柴国钟, 吕君, 鲍雨梅, 姜献峰, 丁浩. 表面裂纹疲劳扩展和寿命计算的高效高精度数值分析方法[J]. 航空学报, 2017, 38(12): 221291-221291.
[8]	童第华, 吴学仁, 刘建中. 由裂纹嘴位移确定双悬臂梁试样应力强度因子的权函数解法[J]. 航空学报, 2016, 37(2): 609-616.
[9]	景致, 吴学仁, 童第华, 陈勃. 焊接残余应力强度因子的权函数法求解[J]. 航空学报, 2015, 36(11): 3586-3594.
[10]	陈康, 许希武, 郭树祥. 双向梯度复合材料裂纹尖端应力强度因子研究[J]. 航空学报, 2013, 34(8): 1832-1845.
[11]	童第华, 吴学仁. 无限大板圆孔边双裂纹的裂纹面位移权函数解[J]. 航空学报, 2013, 34(10): 2341-2348.
[12]	汤英, 张晓晶, 吴学仁. 单边缺口拉伸试样喷丸强化残余应力及其三维应力强度因子分析[J]. 航空学报, 2012, 33(7): 1265-1274.
[13]	王森;刘马宝;王国力;王新波. 广布损伤的试验研究与有限元分析[J]. 航空学报, 2010, 31(8): 1578-1583.
[14]	陈勃;高玉魁;吴学仁;马少俊. 喷丸强化7475-T7351铝合金的小裂纹行为和寿命预测[J]. 航空学报, 2010, 31(3): 519-525.
[15]	杨茂胜;陈跃良. 微动疲劳结构应力强度因子有限元分析[J]. 航空学报, 2010, 31(10): 1968-1973.