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Random Outcome and Stochastic Analysis of Some Fatigue Crack Growth Data

Published online by Cambridge University Press:  05 May 2011

W. F. Wu ,
C. C. Ni  and
H. Y. Liou
W. F. Wu*
Affiliation:
Department of Mechanical Engineering, National Taiwan University, Taipei, Taiwan 10617, R.O.C.
C. C. Ni*
Affiliation:
Department of Mechanical Engineering, National Taiwan University, Taipei, Taiwan 10617, R.O.C.
H. Y. Liou*
Affiliation:
Department of Mechanical Engineering, National Taiwan University, Taipei, Taiwan 10617, R.O.C.
*
*Professor
**Graduate student
***Former graduate student, currently with Ching Yun Institute of Technology
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Abstract

Fatigue crack propagation data of a batch of AISI 4340 steel specimens are released in the present paper. The statistical nature of the data is specially emphasized, and a probabilistic fracture mechanics model is introduced to analyze the data. The stochastic differential equation associated with the model is then solved. The solution gives us the crack exceedance probability as well as the probability distribution of the random time to reach a specified crack size. These quantities are useful in the reliability assessment of structures made of the tested material. Comparing the analytical result with the experimental result, it is found that the proposed probabilistic fracture mechanics model can reasonably explain the experimental data. For those data that cannot be fitted well by the proposed model, methods of improvement are proposed in the present paper as well.

Keywords

Fatigue crack growthProbabilistic fracture mechanicsRandom processStochastic analysis
Type
Articles
Information
Journal of Mechanics , Volume 17 , Issue 2 , June 2001 , pp. 61 - 68
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2001

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References

REFERENCES

1Proven, J. W., Probabilistic Fracture Mechanics and Reliability, Martinus Nijhoff Publishers, Dordrecht, the Netherlands (1987).Google Scholar
2Bogdanoff, J. L. and Kozin, F., Probabilistic Models of Cumulative Damage, John Wiley & Sons, New York (1985).Google Scholar
3Lin, Y. K. and Yang, J. N., “On Statistical Moments of Fatigue Crack Propagation,” Engineering Fracture Mechanics, Vol. 18, pp. 243–256 (1985).Google Scholar
4Ihara, C. and Misawa, T., “A Stochastic Model for Fatigue Crack Propagation with Random Resistance,” Engineering Fracture Mechanics, Vol. 31, pp. 95–104 (1988).Google Scholar
5Yang, J. N. and Manning, S. D., “Stochastic Crack Growth Analysis Methodologies for Metallic Structures,” Engineering Fracture Mechanics, Vol. 37, pp. 1105–1114 (1990).CrossRefGoogle Scholar
6Zhu, W. Q., Lin, Y. K. and Lei, Y., “On Fatigue Crack Growth under Random Loading,” Engineering Fracture Mechanics, Vol. 43, pp. 1–12 (1992).CrossRefGoogle Scholar
7Sobczyk, K. and Spencer, B. F., Random Fatigue: From Data to Theory, Academic Press (1992).Google Scholar
8Wu, W. F., Shin, C. S. and Shen, J. J., “Probabilistic Analysis of Fatigue Crack Propagation Under Random Loading,” ASME Journal of Pressure Vessel Technology, Vol. 116, pp. 216–225 (1994).CrossRefGoogle Scholar
9Virkler, D. A., Hillberry, B. M. and Goel, P. K., “The Statistic Nature of Fatigue Crack Propagation,” ASME Journal of Engineering Materials and Technology, Vol. 101, pp. 148–153 (1979).CrossRefGoogle Scholar
10Yang, J. N., Hsi, W. H. and Manning, S. D., Stochastic Crack Propagation with Applications to Durability and Damage Tolerance Analyses, Technical Report, AFWAL-TR-85-3062, Flight Dynamics Laboratory, Wright-Patterson Air Force Base, Ohio, USA (1985).Google Scholar
11Yang, J. N. and Manning, S. D., “A Simple Second Order Approximation for Stochastic Crack Growth Analysis,” Engineering Fracture Mechanics, Vol. 53, pp. 677–686 (1996).Google Scholar
12Elber, W., “Fatigue Crack Closure Under Cyclic Tension,” Engineering Fracture Mechanics, Vol. 2, pp. 37–45 (1970).Google Scholar