一种求解多孔边裂纹板应力强度因子的解析方法

中国机械工程 ›› 2010, Vol. 21 ›› Issue (22): 2730-2733.

一种求解多孔边裂纹板应力强度因子的解析方法

赵晋芳1;谢里阳1;刘建中2;赵群3

1.东北大学,沈阳,110004

2.北京航空材料研究院,北京,100095

3.沈阳工程学院,沈阳,110136

出版日期:2010-11-25 发布日期:2010-12-01
基金资助:
国家重点基础研究发展计划(973计划)资助项目(2006CB605000)；“十一五”国家科技支撑计划重大项目(61901100405)；国家自然科学基金资助项目(50905031)
National Program on Key Basic Research Project (973 Program)（No. 2006CB605000）;

The National Key Technology R&D Program（No. 61901100405）
National Natural Science Foundation of China（No. 50905031）

Analytical Method for Stress Intensity Factor Calculation on Infinite Plate Containing Multiple Holes

Zhao Jinfang1;Xie Liyang1;Liu Jianzhong2;Zhao Qun3

1.Northeastern University,Shenyang,110004

2.Beijing Institute of Aeronautical Materials,Beijing,100095

3.Shenyang Institute of Engineering,Shenyang,110136

Online:2010-11-25 Published:2010-12-01
Supported by:

National Program on Key Basic Research Project (973 Program)（No. 2006CB605000）;

The National Key Technology R&D Program（No. 61901100405）
National Natural Science Foundation of China（No. 50905031）

摘要/Abstract

摘要：

介绍了一种求解多孔边裂纹板应力强度因子的解析方法，首先利用复变函数的性质求解应力函数，然后结合复变应力函数的近似迭加法计算应力强度因子。该方法在计算过程上相比传统的一些解析方法简化了许多繁琐的步骤,通过与有限元结果的比较可知，解析计算结果精确、可靠。这种求解应力强度因子的解析方法能够很好地应用于无限板上共线任意分布的多孔边裂纹结构，在工程断裂问题中有潜在的应用价值。

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关键词:

多孔, 解析方法, 复变函数, 迭加法, 应力强度因子

Abstract:

An analytical method for SIF calculation on infinite plate containing multiple holes was introduced herein.Complex function was applied to calculate the complex stress functions and the superposition method was used to deal with SIF problems on multiple holes, which simplified many complicated steps comparing with the traditional analytical methods. In addition, comparing with the finite analysis results, the analytical results are accurate and reliable. The method can be applied to solve SIF problems on infinite plate containing collinear multiple holes with random distribution and can availably be popularized in engineering fracture problems.

Key words: multiple hole, analytical method, complex function, superposition method, stress intensity factor(SIF)

中图分类号:

TB12

赵晋芳, 谢里阳, 刘建中, 赵群.

一种求解多孔边裂纹板应力强度因子的解析方法

[J]. 中国机械工程, 2010, 21(22): 2730-2733.

DIAO Jin-Fang, XIE Li-Yang, LIU Jian-Zhong, DIAO Qun.

Analytical Method for Stress Intensity Factor Calculation on Infinite Plate Containing Multiple Holes

[J]. China Mechanical Engineering, 2010, 21(22): 2730-2733.