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A Probabilistic Method to Predict Fatigue Crack Initiation

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Abstract

A probabilistic method to predict macrocrack initiation due to fatigue damage is presented in this paper. Acoustic non-linearity is used to quantify pre-macrocrack initiation damage. This data is then used in a probabilistic analysis of fatigue damage. The probabilistic fatigue damage analysis consists of a suitably chosen damage evolution equation to model accumulated damage coupled with a procedure to calculate the probability of macrocrack initiation. The probability of macrocrack initiation is evaluated using the Monte Carlo Method with Importance Sampling. Numerical results for the probabilistic assessment of fatigue damage for a sample problem are presented and compared with experimental results.

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References

  • N.R. Draper H. Smith (1998) Applied Regression Analysis EditionNumber3 John Wiley & Sons New York

    Google Scholar 

  • M. Fujita R. Rackwitz (1988) ArticleTitleUpdating first- and second-order reliability estimates by importance sampling Structural Safety/Earthquake Engineering 5 53–59

    Google Scholar 

  • J. Goodman (1899) Mechanics Applied to Engineering Longmans Green London

    Google Scholar 

  • A. Kiureghian P. Liu (1989) Finite-Element reliability methods for geometrically nonlinear stochastic structures Dept. of Civil Engineering,University of California Berkeley

    Google Scholar 

  • M.A. Miner (1945) ArticleTitleCumulative damage in fatigue Journal of Applied Mechanics 12 159–164

    Google Scholar 

  • W.L. Moris O. Buck R.V. Inman (1979) ArticleTitleAcoustic harmonic generation due to fatigue in high-strength aluminum Journal of Applied Physics 11 6737–6741 Occurrence Handle1979JAP....50.6737M

    ADS  Google Scholar 

  • H. Ogi M. Hirao S. Aoki (2001) ArticleTitleNoncontact monitoring of surface-wave nonlinearity for predicting the remaining life of fatigued steels Journal of Applied Physics 1 438–442 Occurrence Handle2001JAP....90..438O

    ADS  Google Scholar 

  • A. Palmgren (1924) ArticleTitleDie Lebensdauer von Kugellagern Zeitschrift des Vereins Deutcher Ingenieure 68 339–341

    Google Scholar 

  • M. Rosenblatt (1952) ArticleTitleRemarks on a multivariate transformation Annals of Mathematical Statistics 23 470–472 Occurrence Handle0047.13104 Occurrence Handle14,189j

    MATH  MathSciNet  Google Scholar 

  • S. Suresh (1991) Fatigue of Materials Cambridge University Press Cambridge

    Google Scholar 

Download references

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Correspondence to Salil S. Kulkarni.

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Kulkarni, S.S., Sun, L., Moran, B. et al. A Probabilistic Method to Predict Fatigue Crack Initiation. Int J Fract 137, 9–17 (2006). https://doi.org/10.1007/s10704-005-3074-0

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  • DOI: https://doi.org/10.1007/s10704-005-3074-0

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