平行双裂纹应力强度因子的计算方法

上海交通大学学报（自然版） ›› 2012, Vol. 46 ›› Issue (08): 1263-1268.

平行双裂纹应力强度因子的计算方法

陈景杰a, 黄一a, 吴智敏b

（大连理工大学a. 船舶工程学院；b. 土木工程学院，辽宁大连 116024）

收稿日期:2011-08-06 出版日期:2012-08-31 发布日期:2012-08-31
基金资助:
大连理工大学引进人才科研资助项目（DUT11RC(3)39）

A New Method to Calculate Stress Intensity Factor for Parallel Double Cracks

CHEN Jing-Jie-a, HUANG Yi-a, WU Zhi-Min-b

(a. School of Naval Architecture; b. School of Civil Engineering, Dalian University of Technology, Dalian 116024, China)

Received:2011-08-06 Online:2012-08-31 Published:2012-08-31

摘要/Abstract

摘要： 为了快速、方便地估算多裂纹尖端的应力强度因子，以承受均匀拉伸载荷的含平行双裂纹的有限平板模型为研究对象，提出了一种基于裂纹最大张口位移量确定平行双裂纹尖端应力强度因子的新方法.该方法以单裂纹问题中最大张口位移与应力强度因子间的函数关系为基础，考虑了平行双裂纹的垂向、纵向裂纹间距比和裂纹长度比的影响，拟合出纵向间距比为0时不同裂纹长度比下与垂向间距比相关的修正系数表达式，并进一步分析了裂纹纵向间距比对双裂纹尖端应力强度因子的影响，最终建立了平行双裂纹应力强度因子的简便方法.

关键词: 平行双裂纹, 裂纹最大张口位移, 应力强度因子, 修正系数, 裂纹间距比, 裂纹长度比

Abstract: In order to obtain simply stress intensity factors (SIFs) of multi cracks, a new method was proposed to calculate SIFs of parallel double cracks based on maximum crack opening displacement (MCOD) for the double parallel cracked plate subject to uniform tension loads. On the basis of the obtained relationship between the SIFs and the MCOD in the single cracked model, the influences of crack spacing ratios (vertical and longitudinal) and crack lengths ratios were considered, and the function expressions between modified coefficients and vertical spacing ratios were fitted in the different crack lengths ratios conditions when longitudinal spacing ratios is zero. And then, the influences of crack longitudinal spacing ratios on SIFs of parallel double cracks were studied. Finally, an easy way to calculate the SIF of parallel double cracks was presented.

Key words: parallel double cracks, maximum crack opening displacement, stress intensity factor, modified coefficient, crack spacing ratio, crack length ratio

中图分类号:

U 661.4

陈景杰a, 黄一a, 吴智敏b. 平行双裂纹应力强度因子的计算方法[J]. 上海交通大学学报（自然版）, 2012, 46(08): 1263-1268.

CHEN Jing-Jie-a, HUANG Yi-a, WU Zhi-Min-b. A New Method to Calculate Stress Intensity Factor for Parallel Double Cracks[J]. Journal of Shanghai Jiaotong University, 2012, 46(08): 1263-1268.

参考文献

［1］Chen W H, Change C S. Analysis of two dimensional fracture problems with multiple cracks under mixed boundary conditions［J］. Engineering Fracture Mechanics, 1989, 34(4): 921934.
［2］Wang R D. The stress intensity factors of a rectangular plate with collinear cracks under uniaxial tension［J］. Engineering Fracture Mechanics, 1997, 56(3): 347356.
［3］任克亮, 吕国志. 老龄化结构表面裂纹间相关性分析与研究［J］. 力学与实践, 2007, 29(4): 5562.
REN Keliang, L Guozhi. Relativity analysis and research on the surface crack in aging structure［J］. Mechanics in Engineering, 2007, 29(4): 5562.
［4］任克亮, 吕国志. 三维广布裂纹应力强度因子求解［J］. 航空学报, 2008, 29(4): 893897.
REN Keliang, L Guozhi. Solution for stress intensity factors of three dimensional widespread cracks ［J］. Acta Aeronautica Et Astronautica Sinica, 2008, 29(4): 893897.
［5］Rajiyahh H, Atlurisn S N. Evaluation of Kfactors and weight functions for 2D mixedmode multiple cracks by the boundary element alternating method［J］. Eng Fract Mech, 1989, 32: 911922.
［6］Chen W H, Chen T C. An efficient dual boundary element technique for twodimensional fracture problem with multiple cracks［J］. Int J for Numerical Methods in Engineering, 1995, 38: 17391756.
［7］黄一, 陈景杰, 刘刚. 基于最大张口位移计算多条共线裂纹应力强度因子的方法研究［J］. 机械强度, 2010, 32(6): 10021007.
HUANG Yi, CHEN Jingjie, LIU Gang. Research on calculation of SIF for multi collinear cracks based on maximum crack opening displacement ［J］. Journal of Mechanical Strength, 2010, 32(6): 10021007.
［8］陈景杰, 黄一, 刘刚. 平板穿透裂纹尖端应力强度因子计算方法研究［J］. 哈尔滨工程大学学报, 2011, 32(1): 129134.
CHEN Jingjie, HUANG Yi, LIU Gang. Research on calculation of stress intensity factors in a cracked plate ［J］. Journal of Harbin Engineering University, 2011, 32(1): 129134.

[1]	刘昺轶，张继革，王德忠，李斌. 屏蔽式核主泵飞轮裂纹寿命评估[J]. 上海交通大学学报（自然版）, 2019, 53(3): 315-320.
[2]	江丙云1，孔祥宏2，周徐斌2，李大永1. 复合材料圆管芯材横向剪切性能[J]. 上海交通大学学报, 2018, 52(8): 898-903.
[3]	廖宇, 张晓晶, 张丽娜. 喷丸强化铝锂合金单边缺口拉伸试样谱载寿命预测[J]. 上海交通大学学报, 2016, 50(8): 1233-1240.
[4]	张二, 吴梵, 毛开仁, 吴春芳. 加肋凹型锥-环-柱结合壳稳定性几何修正方法[J]. 上海交通大学学报, 2016, 50(03): 431-436.
[5]	闫小顺1,2，黄小平1，梁园华3，李洛东3. 波浪载荷作用下海洋结构焊趾表面裂纹的应力强度因子计算[J]. 上海交通大学学报（自然版）, 2016, 50(02): 288-293.
[6]	何仕玖，张晓晶，汪海. 含裂纹胶接金属加筋板的Ⅰ型应力强度因子求解[J]. 上海交通大学学报（自然版）, 2016, 50(02): 251-256.
[7]	赵海涛1，冯伟1，杨建国2. 分段修正系数建模数控机床热误差[J]. 上海交通大学学报（自然版）, 2011, 45(11): 1592-1596.
[8]	周小平, 张永兴, 王建华, 哈秋聆. 压剪应力作用下复杂形状多裂纹应力强度因子[J]. 上海交通大学学报, 2003, 37(12): 1905-1909.