Skip to main content
Log in

The nucleation of a crack at the surface of a circular cylindrical cavity

  • Published:
Journal of Materials Science Aims and scope Submit manuscript

Abstract

From the basis of a cohesive zone description, the paper formulates a criterion for the nucleation of a crack at the surface of a circular cylindrical cavity in an infinite solid. The criterion is expressed in terms of the internal pressure within the cavity, the stress system in the absence of the cavity, the cavity size and the cohesive-zone material characteristics. With attention being focussed on the situation where the cohesive-zone size at crack nucleation is small compared with the cavity size, the nucleation criterion is expressed in a particularly simple form.

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.

Institutional subscriptions

Similar content being viewed by others

References

  1. A. A. Griffith, Proceedings of the First International Congress of Applied Mechanics, Delft (1934) 55.

  2. T. Hashida, H. Oghikubo, H. Takahashi, and T. Shoji, Int. Jnl. of Fracture, 59 (1993) 227.

    Google Scholar 

  3. D. S. Dugdale, Jnl. Mechs. Phys. Solids, 8 (1960) 100.

    Google Scholar 

  4. B. A. Bilby, A. H. Cottrell, and K. H. Swinden, Proc. Roy. Soc. A272 (1963) 304.

    Google Scholar 

  5. Z. Kirsch, Verein Deutscher Ing. 42 (1898) 113.

    Google Scholar 

  6. C. Atkinson, and M. Thiercelin, Int. Jnl. of Fracture, 59 (1993) 23.

    Google Scholar 

  7. E. Smith, Jnl. of Materials Science 33 (1998) 29.

    Google Scholar 

  8. H. Tada, P. C. Paris, and G. R. Irwin, “The Stress Analysis of Cracks Handbook” (Del Research Corporation, Hellertown, PA, USA, 1973).

    Google Scholar 

  9. B. J. Carter, E. Z. Lajtai and Y. Yuan, Int. Jnl. of Fracture, 57 (1992) 221.

    Google Scholar 

  10. E. J. Dzik and E. Z. Lajtai, Int. Jnl. of Fracture, 79 (1996) 49.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Smith, E. The nucleation of a crack at the surface of a circular cylindrical cavity. Journal of Materials Science 33, 4667–4669 (1998). https://doi.org/10.1023/A:1004499932569

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1004499932569

Keywords

Navigation