Skip to main content

Statistical Evaluation of the Distribution of Crack Propagation Fatigue Life by Simulating the Crack Growth Process

  • Chapter
Computational Stochastic Mechanics

Abstract

It is widely recognized that the fatigue crack propagation is fundamentally a random process which can be predicted only in terms of probability. The primary source of statistical variation of fatigue crack propagation is material inhomogeneity. To explain its effects, the authors proposed in the previous paper a new stochastic model which treats the material’s resistance against fatigue crack growth as a spatial stochastic process along the path of the crack. This paper investigates the influence of the parameter variation on the results using Monte-Carlo simulations for the proposed model in the case of the constant load amplitude. It is shown that the statistical properties of random crack propagation resistance has great influence on the distribution of the crack propagation fatigue life. The results are also compared with well-known experimental data sets and satisfactory agreements are obtained.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 54.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Itagaki, H., Ishizuka, T. and Huang, P., Reliability Assessment by Simulation of Fatigue Crack Growth, Journal of the Society of Naval Architects of Japan, Vol.165, pp. 253–264, 1989. (in Japanes)

    Article  Google Scholar 

  2. Sasaki, T., Sakai, S. and Okamura, H., Estimating the statistical properties of Fatigue Crack Growth Using Spectral Analysis Technique, to appear in Proceeding of the 6th Int. Conf of Mechanical Behavior of Material, Kyoto, Japan, 1991. Pergamon, Oxford, 1991.

    Google Scholar 

  3. Shinozuka, M., Simulation of Multivariate and Multidimensional Random Process, The Journal of the Acoustical Soc. of America, Vol.49, pp. 357–368, 1971.

    Article  Google Scholar 

  4. Srawly, J. E., Wide Range Stress Intensity Factor Expression for ASTM E-399 Standard Fracture Toughness Specimens, Int. Journal of Fracture, Vol.12, pp. 475–476, 1976.

    Google Scholar 

  5. Virkler, D. A., Hillberry, B. M. and Goel, P. K., The Statistical Nature of Fatigue Crack Propagation, ASME Journal of Engineering Materials and Technology, Vol.101, pp. 148–153, 1979.

    Article  Google Scholar 

  6. Tanaka, S., Ichikawa, M. and Akita, S., Variability of m and C in the Fatigue Crack Propagation Law, Int. Journal of Fracture, Vol.17, pp. R121–125, 1981.

    Article  Google Scholar 

  7. Cortie, M. B. and Garrett, G. G., On the correlation between the C and m in the Paris Equation for Fatigue Crack Propagation, Engineering Fracture Mechanics, Vol.30, pp. 49–58, 1988.

    Article  Google Scholar 

  8. Shimada, S., Nakagawa, T. and Tokuno, H., Reliability Analysis of Fatigue Crack Propagation Life by Markov Chain, Journal of the Society of Materials Science, Japan, Vol.33, pp. 475–481, 1984. (in Japanese)

    Article  Google Scholar 

  9. Ichikawa, M. and Nakamura, T., Methods for Randomization of Parameters in the Fatigue Crack Propagation Law da/dN = C(ΔK)m, Journal of the Society of Materials Science, Japan, Vol.34, pp. 321–326, 1985. (in Japanese)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1991 Computational Mechanics Publications

About this chapter

Cite this chapter

Sasaki, T., Sakai, S., Okamura, H. (1991). Statistical Evaluation of the Distribution of Crack Propagation Fatigue Life by Simulating the Crack Growth Process. In: Spanos, P.D., Brebbia, C.A. (eds) Computational Stochastic Mechanics. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-3692-1_40

Download citation

  • DOI: https://doi.org/10.1007/978-94-011-3692-1_40

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-85166-698-0

  • Online ISBN: 978-94-011-3692-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics