Skip to main content
SpringerLink
Log in

Double virtual crack extension method for crack growth stability assessment

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

Abstract

The second variation of energy corresponding to crack length is required in the stability analysis of crack growth. For determining such an energy gradient, an efficient finite element method extending the classical virtual crack extension concept is described in this paper. In elasticity, the method can be used for the prediction of the growth pattern of one single crack, and especially a system of interacting cracks as well from the results of a single strain-stress analysis. Example computations are performed for (1) a center-cracked plate and (2) a finite width strip containing two interacting cracks. Close agreement between the numerical results given by our method and reference solutions has been found in all testing cases.

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

Access this article

Log in via an institution

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. R.H. Gallagher, in 1st International Conference in Reactor Technology, Berlin (1971).

  2. J.J. Oglesby and O. Lomacky, Journal of Engineering for Industry 95 (1), (1973) 177–185.

    Google Scholar 

  3. T.K. Hellen, International Journal of Numerical Methods in Engineering 9 (1975) 187–207.

    Google Scholar 

  4. D.M. Parks, International Journal of Fracture 10, no 4 (1974) 487–502.

    Google Scholar 

  5. H.G. Delorenzi, International Journal of Fracture 19 (1982) 183–193.

    Article  Google Scholar 

  6. H. Chong Rhee, ASTM STP 868 (1985) 183–196.

  7. C.F. Shih, H.G. Delorenzi and W.R. Andrews, ASTM STP 668 (1979) 65–120.

  8. S. Nemat-Nasser, Y. Sumi and L.M. Keer, International Journal of Solids and Structures 16 (1980) 1017–1035.

    Article  Google Scholar 

  9. S. Nemat-Nasser, Letters, Applied Engineering Science 16 (1978) 277–285.

    Google Scholar 

  10. L.M. Keer, S. Nemat-Nasser and A. Oranratnachai, International Journal of Solids and Structures 15 (1978) 111–126.

    Google Scholar 

  11. P.C. Paris, H. Tada, A. Zahoor and H. Ernst, ASTM STP 669 (1979) 5–36.

  12. Y. Sumi, S. Nemat-Nasser and L.M. Keer, International Journal of Engineering Science 18 (1980) 211–224.

    Article  Google Scholar 

  13. C.E. Feddersen, ASTM STP 410 (1967) 77–79.

  14. A.A. Griffith, Philosophical Transactions, Royal Society of London, A 221 (1921) 163–197.

    Google Scholar 

  15. G.R. Irwin, Handbuch des physik VI, Flügge Ed., A58, Springer 558–590.

  16. V.B. Watwood, Nuclear Engineering Design 11 (1969) 323–332.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Socotec Industrie/AME, F-78180, Montigny-le-Bretonneux, France

    Xiao -Zheng Suo

  2. C.E.N.-Saclay/DMT/SEMT/LAMS, F-91191, Gif-Sur-Yvette, France

    Alain Combescure

Authors
  1. Xiao -Zheng Suo
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Alain Combescure
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Suo, X.Z., Combescure, A. Double virtual crack extension method for crack growth stability assessment. Int J Fract 57, 127–150 (1992). https://doi.org/10.1007/BF00035715

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00035715

Keywords

Search

Navigation