Skip to main content
Log in

Competing risks models for fracture in the ductile to brittle transition temperature region

  • Published:
International Journal of Fracture Aims and scope Submit manuscript

Abstract

When fracture toughness testing is carried out over the ductile to brittle transition temperature region cleavage instability may be observed at the initiation of cracking or after some prior ductile crack growth. The amount of precleavage ductile crack growth increases with increasing temperature. At the lower test temperatures, it is possible to assume that all tests will result in cleavage instability. However, as the test temperature increases, at some limiting temperature, the failure mode during the final instability changes from cleavage to ductile. These two different types of behaviour can be accommodated in a statistical analysis which is based on the method of competing risks. A statistical approach is presented for the analysis of data by competing risks and a procedure is given for the estimation of the probability of cleavage failure.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. J.F. Knott, Fundamentals of Fracture Mechanics, Butterworths, London (1973).

    Google Scholar 

  2. P.E.J. Flewitt, G.H. Williams and M.B. Wright, Nuclear Engineering 31 No. 5 (1992) 383–391.

    Google Scholar 

  3. I. Milne, R.A. Ainsworth, A.R. Dowling and A.T. Stewart, Assessment of the integrity of structures containing defects, CEGB Report R/H/R6 Rev.3 (1986).

  4. A.H. Cottrell, ‘The Griffith Crack’, Proceedings of the Griffith Centenary Meeting, The Institute of Metals (1993).

  5. M.S. Kamath and M.F. Gittos, The Welding Institute Research Bulletin 114–122, April 1979.

  6. J.R. Rice and M.A. Johnson, in Inelastic Behaviour of Solids M.F. Kanninen, W.G. Adler, A.R. Rosenfield and R.I. Jaffee (eds.), Mc Graw-Hill, New York (1970) 641–672.

    Google Scholar 

  7. R.M. McMeeking, Journal of the Mechanics and Physics of Solids 25 (1977) 357–358.

    Google Scholar 

  8. D.M. Tracey, Journal of Engineering Materials and Technology, Transactions ASME Series H 98 (1976) 146–151.

    Google Scholar 

  9. J.P. Rice and D.M. Tracey, Journal of the Mechanics and Physics of Solids 17 (1969) 201–217.

    Google Scholar 

  10. R.O. Ritchie and Thompson, Metallurgical Transactions A 16 (1985) 233–248.

    Google Scholar 

  11. R.O. Ritchie, J.F. Knott and J.R. Rice, Journal of the Mechanics and Physics of Solids 21 (1973) 395–410.

    Google Scholar 

  12. ESIS P2-92 (1992) ESIS Procedure for Determining the Fracture Behaviour of Materials, January 1992.

  13. United Kingdom Atomic Energy Authority, ‘An Assessment of the Integrity of PWR Pressure Vessels’, Addendum to the Second Report of the Study Group, Her Majesty's Stationary Office, April 1987.

  14. J.F. Lawless, Statistical Models for Lifetime Data, John Wiley and Sons (1982).

  15. Crowder, Kimber, Smith and Sweeting, Statistical Analysis of Reliability Data, Chapman and Hall (1991).

  16. K. Takahasi, Annales de l'Institut Statist. Math. 17 (1965) 257–260.

    Google Scholar 

  17. D.G. Clayton, Biometrica 65 (1978) 141–151.

    Google Scholar 

  18. M.J. Crowder, Journal Royal Statistical Society B 47 (1985) 447–452.

    Google Scholar 

  19. P. Hougaard, Biometrika 73 (1986) 387–396.

    Google Scholar 

  20. J.M. Crowder, Journal of the Royal Society B 51 (1989) 93–107.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Moskovic, R., Crowder, M.J. Competing risks models for fracture in the ductile to brittle transition temperature region. Int J Fract 73, 201–212 (1995). https://doi.org/10.1007/BF00037643

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00037643

Keywords

Navigation