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The probability distribution of fatigue damage and the statistical moment of fatigue life

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Abstract

The randomization of deterministic fatigue damage equation leads to the stochastic differential equation and the Fokker-Planck equation affected by random fluctuation. By means of the solution of equation, the probability distribution of fatigue damage with the change of time is obtained. Then the statistical moment of fatigue life in consideration of the stationary random fluctuation is derived. Finally, the damage probability distributions during the fatigue crack initiation and fatigue crack growth are given.

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References

  1. Bogdanoff, J. L., A new cumulative model,J. Applied Mechanics, 1978, (2): 246.

    Google Scholar 

  2. Provan, J. W.,Probability Fracture Mechanics and Reliability Dordrecht: Martinus Nijhoff, 1987.

    Google Scholar 

  3. Kozin, F., Bogdanoff, J. L., A critical analysis of some probabilistic models of fatigue crack growth,Engineering Mechanics, 1981, (4): 59.

    Google Scholar 

  4. Lin, Y. K., Yang, J. N., On statistical moments of fatigue crack propagation,Engineering Fracture Mechanics, 1983, 6: 243.

    Article  Google Scholar 

  5. Tsurui, A., Theoretical study on the distribution of fatigue crack propagation life under stationary random loading,Fatigue '84 (ed. Beevers, C. J.), 1984, 2: 949.

  6. Ishikawa, H., A stochastic model of fatigue crack propagation growth in consideration of random propagation resistance,Fatigue '84 (ed Beevers, C. J.), 1984, 1: 511.

  7. Wang Zhong, Gao Zhentong, Stochastic damage process and damage probability distribution dependent on time,Acta Mechanica Sinica (in Chinese), 1988, 20(6): 551.

    Google Scholar 

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Authors and Affiliations

  1. Research Center of Solid Mechanics, Beijing University of Aeronautics and Astronautics, 100083, Beijing, China

    Junjiang Xiong & Zhentong Gao

Authors
  1. Junjiang Xiong
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  2. Zhentong Gao
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Project supported by the National Natural Science Foundation of China.

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Xiong, J., Gao, Z. The probability distribution of fatigue damage and the statistical moment of fatigue life. Sci. China Ser. E-Technol. Sci. 40, 279–284 (1997). https://doi.org/10.1007/BF02916603

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  • DOI: https://doi.org/10.1007/BF02916603

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