Probabilistic Models of Random Fatigue Crack Propagation Based on Forman Equation

YANG Bing; ZHAO Yong-xiang; ZHANG Wei-hua

Volume 6 Issue 1

Turn off MathJax

Article Contents

Article Navigation > Journal of Traffic and Transportation Engineering > 2006 > 6(1): 25-28

Next Previous

YANG Bing, ZHAO Yong-xiang, ZHANG Wei-hua. Probabilistic Models of Random Fatigue Crack Propagation Based on Forman Equation[J]. Journal of Traffic and Transportation Engineering, 2006, 6(1): 25-28.

Citation:

YANG Bing, ZHAO Yong-xiang, ZHANG Wei-hua. Probabilistic Models of Random Fatigue Crack Propagation Based on Forman Equation[J]. Journal of Traffic and Transportation Engineering, 2006, 6(1): 25-28.

YANG Bing, ZHAO Yong-xiang, ZHANG Wei-hua. Probabilistic Models of Random Fatigue Crack Propagation Based on Forman Equation[J]. Journal of Traffic and Transportation Engineering, 2006, 6(1): 25-28.

Citation:

PDF( 290 KB)

Probabilistic Models of Random Fatigue Crack Propagation Based on Forman Equation

State Key Laboratory of Traction Power, Southwest Jiaotong University, Chengdu 610031, Sichuan, China

More Information

Author Bio:
YANG Bing (1979-), male, doctoral student, 86-28-87600935, yb@home.swjtu.edu.cn
Received Date: 2005-09-10
Publish Date: 2006-03-25

Abstract

Abstract

In order to improve the prediction precision of random fatigue crack propagation, its probabilistic models based on Forman equation and the estimation method of its parameters were developed, the effect of test data scattering regularity and sampling size on probabilistic assessment was taken into account, the models consisted of survival probability-based curves, confidence-based curves and survival-probability-and-confidence-based curves, their parameters of were measured by linear regression technique and maximum likelihood method.The prediction data of LZ50 axle steel indicate that the models show the effect of material rupture temper on long crack propagation, over come the non-conservative prediction of conventional models based on Paris-Erdogan equation in high intensity factor range, which shows that the models are reasonable and feasible.
- vehicle engineering,
- long fatigue crack,
- probabilistic model,
- Forman equation

FullText(HTML)

References(16)

References

[1]	WANG G S. Intrinsic Statistical Characteristics of Fatigue Crack Growth Rate[J]. Engineering Fracture Mechanics, 1995, 51 (5): 787-803. doi: 10.1016/0013-7944(94)00322-9
[2]	WANG KS, CHANGS T, SHEN YC. Dynamic Reliability Models for Fatigue Crack Growth Problem[J]. Engineering Fracture Mechanics, 1996, 54 (4): 543-556. doi: 10.1016/0013-7944(95)00216-2
[3]	ROCHA M M, SCHUELLER GI. A Probabilistic Criterion for Evaluating the Goodness of Fatigue Crack Growth Models[J]. Engineering Fracture Mechanics, 1996, 53 (5): 707-731. doi: 10.1016/0013-7944(95)00132-8
[4]	LIU WK, BELYTSCHKO T, LIU YJ. Three Reliability Methods for Fatigue Crack Growth[J]. Engineering Fracture Mechanics, 1996, 53 (5): 733-752. doi: 10.1016/0013-7944(95)00133-6
[5]	SHI P, MAHADEVA S. Damage Tolerance Approach for Probabilistic Pitting Corrosion Fatigue Life Prediction[J]. Engineering Fracture Mechanics, 2001, 68 (13): 1 493-1 507. doi: 10.1016/S0013-7944(01)00041-8
[6]	SHEN W, SOBOYEJO A B O, SOBOYEJO W O. Probabilistic Modeling of Fatigue Crack Growthin Ti-6Al-4V[J]. International Journal of Fatigue, 2001, 23 (10): 917-925. doi: 10.1016/S0142-1123(01)00045-7
[7]	SOBOYEJO W O, SHEN W, LOU J, et al. A Probabilistic Framework for the Modeling of Fatigue in a Lamellar XDTM Gamma Titanium Alloy[J]. International Journal of Fatigue, 2002, 24 (1): 69-81. doi: 10.1016/S0142-1123(01)00043-3
[8]	RAY A, TANGIRALAS, RHOHAS. Stochastic Modeling of Fatigue Crack Propagation[J]. Applied Mathematical Modelling, 1998, 22 (3): 197-204. doi: 10.1016/S0307-904X(98)00013-4
[9]	CHEN Guo-hua, ZHOU Chang-yu, HUANG Wen-long. Studyon Analysis Method of Fatigue Crack Random Growth Rate[J]. Journal of Nanjing University of Chemical Technology, 1996, 18 (3): 63-66. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-NHXB603.011.htm
[10]	HONG Yan-ji, JIN Xing, ZHONG Qun-peng. A New Method for Fatigue Reliability Analysis of Chinese Steel[J]. Engineering Mechanics, 2002, 19 (2): 115-118. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-GCLX201008006.htm
[11]	PARIS P, ERDOGAN F. A Critical Analysis of Crack Growth Laws[J]. Journal of Basic Engineering, 1963, 85 (3): 528-534.
[12]	FORMANR G, KEARNEY VE, ENGLE R M. Numerical Analysis of Crack Propagation in Cyclic-Loaded Structure[J]. Journal of Basic Engineering, 1967, 89 (3): 459-464.
[13]	XIAO Ji-mei. Some Comparison Between Steels 50 and 40 Used for Railroad Axles[J]. Transactions on Materials, 2000, 14 (6): 7-8. (in Chinese)
[14]	ZHONG Qun-peng. The Views on Carbon Steel 40 and 50 for the Vehicle Shaft[J]. Transactions on Materials, 2000, 14 (6): 9-10. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-CLDB200006005.htm
[15]	ZHAO Yong-xiang, HE Chao-ming, YANG Bing, et al. Probabilistic Models for the Long Fatigue Crack Growth Rates of LZ50 Axle Steel[J]. Applied Mathematics and Mechanics, 2005, 26 (8): 1 093-1 099.
[16]	ZHAO Yong-xiang, HUANG Yu-zhong, GAO Qing. Probabilistic Mechanical Properties of LZ50 Axle Steel for Railway Vehicles[J]. Journal of Traffic and Transportation Engineering, 2003, 3 (2): 11-17. (in Chinese) http://transport.chd.edu.cn/article/id/200302024