Statistical analysis methods of fatigue crack growth rate

Xiaochen Zhang , Liyang Xie , Jianzhong Liu , Yu Zhang , Anshi Tong , Yuanyuan Ma

Transactions of Tianjin University ›› 2014, Vol. 20 ›› Issue (5) : 322 -327.

PDF
Transactions of Tianjin University ›› 2014, Vol. 20 ›› Issue (5) : 322 -327. DOI: 10.1007/s12209-014-2131-z
Article

Statistical analysis methods of fatigue crack growth rate

Author information +
History +
PDF

Abstract

The standard center-cracked tensile specimens M(T) with different widths made of aluminum alloy were designed for fatigue crack growth rate experiments, and the effect of specimen size on the fatigue crack growth rate was discussed. The fitting equation and the p-da/dNK curve of fatigue crack growth rate (with different confidence and reliability levels) were obtained by one-side tolerance factor analysis. In order to reasonably reflect the dispersion of material properties on the fatigue crack growth rate and fatigue crack propagation life, two novel statistical analysis methods were proposed, which can be used to describe the probability distribution of fatigue crack growth rate. Compared with the traditional statistical analysis method of probabilistic fatigue crack growth rate, the fitted curves from the novel statistical analysis methods yield more objective description on the probability distribution of crack growth rate.

Keywords

probabilistic fatigue crack growth rate / confidence / reliability / p-da/dNK curve fitting

Cite this article

Download citation ▾
Xiaochen Zhang, Liyang Xie, Jianzhong Liu, Yu Zhang, Anshi Tong, Yuanyuan Ma. Statistical analysis methods of fatigue crack growth rate. Transactions of Tianjin University, 2014, 20(5): 322-327 DOI:10.1007/s12209-014-2131-z

登录浏览全文

4963

注册一个新账户 忘记密码

References

[1]

Chen L, Cai Lixun. Research on fatigue crack growth behavior of materials by considering the fatigue damage near the crack tip[J]. Chinese Journal of Mechanical Engineering, 2012, 48(20): 51-56.

[2]

Jia F, Huo L, Zhang Yufeng. Comparison with two data processing methods on fatigue crack growth rate[J]. Journal of Mechanical Strength, 2003, 25(5): 568-571.

[3]

Wu W F, Ni C C. Statistical aspects of some fatigue crack growth data[J]. Engineering Fracture Mechanics, 2007, 74(18): 2952-2963.

[4]

Azzam D, Menzemer C C, Srivatsan T S. The fracture behavior of an Al-Mg-Si alloy during cyclic fatigue[J]. Materials Science and Engineering, 2010, 527(20): 5341-5345.

[5]

Jogi B F, Brahmankar P K, Nanda V S, et al. Some studies on fatigue crack growth rate of aluminum alloy 6061[J]. Journal of Materials Processing Technology, 2008, 201(1–3): 380-384.

[6]

Wang G S. Intrinsic statistical characteristics of fatigue crack growth rate[J]. Engineering Fracture Mechanics, 1995, 51(5): 787-803.

[7]

Zhang J, Shi X, Fei Binjun. High cycle fatigue and fracture mode analysis of 2A12-T4 aluminum alloy under out-of-phase axial-torsion constant amplitude loading[J]. International Journal of Fatigue, 2012, 38, 144-154.

[8]

Maymon G. Probabilistic crack growth behavior of aluminum 2024-T351 alloy using the ‘unified’ approach[J]. International Journal of Fatigue, 2005, 27(7): 828-834.

[9]

Wang Z, Nie X, Wu Xiaofeng. Statistical analysis of fatigue crack growth data[J]. Acta Aeronautica ET Astronautica Sinica, 1993, 14(3): 197-201.

[10]

Paris P C, Gomez M P, Anderson W E. A rational analytic theory of fatigue[J]. The Trend in Engineering, 1961, 13(1): 9-14.

[11]

Provam J W. Probabilistic Fracture Mechanics and Reliability[M]. 2004, New York: Springer-Verlag.

[12]

Gao Z, Xiong Junjiang. The present situation and prospects for the fatigue fracture reliability study[J]. Journal of Mechanical Strength, 1995, 3, 61-80.

AI Summary AI Mindmap
PDF

110

Accesses

0

Citation

Detail

Sections
Recommended

AI思维导图

/