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Role of third order statistics in discriminating among models of fatigue crack growth in metals

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Abstract

Fatigue crack growth is looked upon as an irreversible nondecreasing stochastic process. The suitability of several well-known distributions for describing the time for a crack to progress a specified amount is discussed relative to the coefficient of skewness. Based upon available data, it is shown that “weakest link” distributions that have appeared in the literature are not suitable. Further, it is demonstrated that to the contrary, “strongest link” distributions are consistent with the data. Finally, implications for stochastic models of fatigue crack growth are discussed.

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References

  1. J. L. Bogdanoff and F. Kozin:Engng. Fract. Mech., 1984, vol. 20,, no. 2 pp. 255–70.

    Article  Google Scholar 

  2. H. Cramer:Mathematical Methods in Statistics, Princeton Univ. Press, Princeton, NJ, 1951, Section 15.8.

    Google Scholar 

  3. F. Kozin and J.L. Bogdanoff:Engng. Fract. Mech., 1983, vol. 18, no. 3, pp. 623–32.

    Article  Google Scholar 

  4. H. Cramer:Mathematical Methods in Statistics, Princeton Univ. Press, Princeton, NJ, 1951, Sections 27.4 and 27.9.

    Google Scholar 

  5. G. J. Hahn and S. S. Shapiro:Statistical Models in Engineering, John Wiley & Sons, New York, NY, 1967.

    Google Scholar 

  6. N. L. Johnson and S. Kotz:Distributions in Statistics—Univariate Case, Houghton Mifflin Co., Boston, MA, 1970.

    Google Scholar 

  7. N. R. Mann, R. E. Schafer, and N. D. Singpurwalla:Methods for Statistical Analysis of Reliability and Life Data, John Wiley & Sons, New York, NY, 1974.

    Google Scholar 

  8. E. J. Gumbel:Statistic of Extremes, Columbia Univ. Press, New York, NY, 1958.

    Google Scholar 

  9. D. A. Virkler, B. M. Hillberry, and P.K. Goel: AFFDL-TR-78-43, April 1978.

  10. S. J. Hudak, A. Saferra, R. J. Bucci, and R. C. Malcolm: AFML-TR-78-40 (Data courtesy of ASTM E24.04.01 Comm.), 1978.

  11. M. Ichikawa, M. Hamaguchi, and T. Nakamura:Journ. Soc. Mat. Sc. (Japan), Jan. 1984, vol. 33, no. 364, pp. 8–18.

    Google Scholar 

  12. J. W. Cohen: Lecture, NATO Conference, Reliability Testing and Reliability Evaluation, The Hague, 1972.

  13. J. L. Bogdanoff and F. Kozin: ASME, 1984, AMD-vol. 65, pp. 1-7.

  14. J. L. Bogdanoff and F. Kozin:Probabilistic Models of Cumulative Damage, John Wiley & Sons, New York, NY, 1985.

    Google Scholar 

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This paper is based on a presentation made at the symposium “Stochastic Aspects of Fracture” held at the 1986 annual AIME meeting in New Orleans, LA, on March 2-6, 1986, under the auspices of the ASM/MSD Flow and Fracture Committee.

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Kozin, F., Bogdanoff, J.L. Role of third order statistics in discriminating among models of fatigue crack growth in metals. Metall Trans A 18, 1855–1859 (1987). https://doi.org/10.1007/BF02647015

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