Journal of Failure Analysis and Prevention

, Volume 12, Issue 5, pp 507–517 | Cite as

Scatter Analysis of Fatigue Life and Prediction of S–N Curve

  • Prakash Chandra Gope
Technical Article---Peer-Reviewed


In this study, the effects of salt solution, the presence of notch on fatigue life scatter, and sample size selection for estimation of fatigue life under different probabilities and confidence levels have been investigated. Comparison has been made with smooth specimen tested in air medium. It is seen that notches have significantly higher effect than other factors (salt solutions, smooth geometry, etc.). The minimum number of specimens required for fatigue life estimation within tolerable error, R o, at different fatigue testing conditions has also been presented both for log normal and Weibull distribution models. It has been found that estimation of fatigue life using Weibull model needs higher sample size than log normal model. Beyond a certain sample size, fatigue life estimation is independent of sample size. The article also presents a method for minimum sample size selection procedure to estimate fatigue life or to draw S–N curve.


Fatigue life scatter Environment Geometry Sample size Fatigue life estimation 


  1. 1.
    Salivar, G.C., Creighton, D.L., Hoeppner, D.W.: Effect of frequency and environment on fatigue crack propagation of SA533B-1 steel. Eng. Fract. Mech. 14, 337–352 (1981)CrossRefGoogle Scholar
  2. 2.
    Amzallag, C., Rabbe, P., Desestret, A.: Corrosion fatigue behavior of some special stainless steel. In: Corrosion Fatigue Technology, ASTM, STP 642, pp. 117–132. American Society for Testing and Materials, Philadelphia (1978)Google Scholar
  3. 3.
    Vosikovsky, O.: Frequency, stress ratio, and potential effects on fatigue crack growth of HY130 steel in salt water. J. Test. Eval. 6(3), 175–182 (1978)CrossRefGoogle Scholar
  4. 4.
    Kondo, T., Kikuyama, T., Nakajima, H., Shindo M., Nagasaki, R.: Corrosion fatigue of ASTM A-302B steel in high temperature water, the simulated nuclear reactor environment. NACE, pp. 539–556 (1971)Google Scholar
  5. 5.
    Scott, P.M., Thorpe, T.W., Carney, R.A.F.: Corrosion fatigue crack initiation from blunt notches in structural steel exposed to sea water. Adv. Fract. Res. 2, 1595–1602 (1989)Google Scholar
  6. 6.
    Gope, P.C.: Determination of sample size for estimation of fatigue life by using Weibull and log normal distribution. Int. J. Fatigue 18(8), 745–752 (1999)CrossRefGoogle Scholar
  7. 7.
    Parida, N., Das, S.K., Gope, P.C., Mohanty, O.N.: Probability, confidence, and sample size in fatigue testing. J. Test. Eval. 18(6), 385–389 (1990)CrossRefGoogle Scholar
  8. 8.
    Chuliang, Y.A.N., Kege, L.I.U.: Theory of economic life prediction and reliability assessment of aircraft structures. Chin. J. Aeronaut. 24, 164–170 (2011)CrossRefGoogle Scholar
  9. 9.
    Rinaldi, A., Peralta, P., Krajcinovic, D., Lai, Y.-C.: Prediction of scatter in fatigue properties using discrete damage mechanics. Int. J. Fatigue 28, 1069–1080 (2006)CrossRefGoogle Scholar
  10. 10.
    Schijve, J.: Statistical distribution functions and fatigue of structures. Int. J. Fatigue 27, 1031–1039 (2005)CrossRefGoogle Scholar
  11. 11.
    Mohd, S., Mutoh, Y., Otsuka, Y., Miyashita, Y., Koike, T., Suzuki, T.: Scatter analysis of fatigue life and pore size data of die-cast AM60B magnesium alloy. Eng. Fail. Anal. 22, 64–72 (2012)CrossRefGoogle Scholar
  12. 12.
    DuQuesnay, D.L., Underhill, P.R.: Fatigue life scatter in 7xxx series aluminum alloys. Int. J. Fatigue 32, 398–402 (2010)CrossRefGoogle Scholar
  13. 13.
    Montgomery, D.C.: Design and Analysis of Experiments. Wiley, New York (1976)Google Scholar
  14. 14.
    Little, R.E., Jebe, E.H.: Statistical Design of Fatigue Experiments. Applied Science, London (1975)Google Scholar
  15. 15.
    Nakayasu, H.: Method of pooling fatigue data and its application to the data base on fatigue strength. In: Tanaka, T., Nishijima, S., Ichikawa, M. (eds.) Current Japanese Materials Research, vol. 2, pp. 21–43. Elsevier Applied Science, London (1987)Google Scholar

Copyright information

© ASM International 2012

Authors and Affiliations

  1. 1.Mechanical Engineering DepartmentCollege of Technology, G.B. Pant University of Agriculture & TechnologyPantnagarIndia

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