Skip to main content
Log in

On the uniqueness of the stress intensity factor — crack velocity relationship

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

Abstract

Experimental results due to several different investigators on the K I − a relationship are reviewed and the apparent differences in results leading to questions regarding the uniqueness of this relationship are discussed. The influence of the errors due to the three dimensional state of stress at the crack tip, the effects of non-singular stresses, velocity, transient loading and velocity measurement is presented. These errors have obscured resolution of the uniqueness question and an experiment is described to resolve the issue.

Résumé

On passe en revue les résultats expérimentaux obtenus par différents chercheurs sur la relation K I − a et l'on discute des différences apparentes dans les résultats qui conduisent à des questions en ce qui regarde l'unicité de cette relation. On présente l'influence des erreurs dues à l'état tridimensionnel des tensions à l'extrémité de la fissure, les effets des contraintes non singulières de la vitesse de la mise en charge transitoire et de la mesure de la vitesse. Ces erreurs ne contribuent pas à éclaircir la question de l'unicité et, en vue de la résoudre, on décrit une expérience possible.

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. G.R. Irwin et al., “A Photoelastie Study of the Dynamic Fracture Behavior of Homalite 100,” U.S. NRC Report NUREG-75–107, University of Maryland (1975).

  2. G.R. Irwin et al., “A Photoelastic Characterization of Dynamic Fracture,” U.S. NRC Report NUREG-0072, University of Maryland (1976).

  3. G.R. Irwin et al., “Photoelastic Study of Crack Propagation and Arrest,” U.S. NRC Report NUREG/CR-0342, University of Maryland (1977).

  4. G.R. Irwin et al., “Photoelastic Studies of Crack Propagation and Arrest in Polymers and 4340 Steel,” U.S. NRC Report NUREG/CR-0542, University of Maryland (1978).

  5. J.W. Dally, Experimental Mechanics 19, No. 10 (1979) 349–361.

    Google Scholar 

  6. W.G. Knauss, “Introductory Comments”, Workshop on Dynamic Fracture, California Institute of Technology (1–7 February, 1983).

  7. J.F. Kalthoff, “On Some Current Problems in Experimental Fracture Dynamics”, Workshop on Dynamic Fracture, California Instiute of Technology (February 1983) 11–25.

  8. K. Ravi-Chandar and W.G. Knauss, “Processes Controlling the Dynamic Fracture of Brittle Solids”, Workshop on Dynamic Fracture, California Institute of Technology (February 1983) 119–128.

  9. A.J. Rosakis, J. Duffy and L.B. Freund, “Dynamic Crack Growth Criteria In Structural Metals”, Workshop on Dynamic Fracture, California Institute of Technology (February 1983) 110–118.

  10. T. Kobayashi and J.W. Dally, in Crack Arrest Methodology and Applications. Edited by G.T. Hahn and M.F. Kanninen. ASTM STP 711, American Society for Testing and Materials (1980) 189–210.

  11. J.W. Dally, A. Henzi, and D. Lewis, Experimental Mechanics 9, No. 9 (1969) 394–399.

    Google Scholar 

  12. G.R. Irwin, “Series Representation of the Stress Field Around Constant Speed Cracks”, University of Maryland Lecture Notes (1980).

  13. S.N. Atluri and T. Nishioka, Engineering Fracture Mechanics 18, No. 1 (1983) 1–22.

    Google Scholar 

  14. R.J. Sanford, R. Chona, W.L. Fourney, and G.R. Irwin, “A Photoelastic Study of the Influence of Non-Singular Stresses in Fracture Test Specimens, University of Maryland Report (March 1981).

  15. M. Cottron and A. Lagarde, SM Archives 7, Issue 1 (1982) 1–18.

    Google Scholar 

  16. R.J. Sanford and J.W. Dally, Engineering Fracture Mechanics 11 (1979) 621–633.

    Google Scholar 

  17. J.F. Kalthoff, “The Shadow Optical Method of Caustics”, CISM Lectures (July 1984).

  18. J.W. Phillips and R.J. Sandford, ASTM Special Technical Publication 743, (1982) 387–402.

    Google Scholar 

  19. A.J. Rosakis and K. Ravi-Chandar, “On Crack Tip Stress State: An Experimental Evaluation of Three-dimensional Effects”, California Institute of Technology Report, SM 84–2 (March 1984).

  20. W. Yang and L.B. Freund, “Transverse Shear Effects for Through Cracks in an Elastic Plate”, Brown University Report (1984).

  21. L.B. Freund, “Some Theoretical Results on the Dependence of the Dynamic Stress Intensity Factor on Crack Tip Speed”, Workshop on Dynamic Fracture, California Institute of Technology (February 1983) 129–136.

  22. J. Beinert and J.F. Kalthoff, in Mechanics of Fracture, Experimental Evaluation of Stress Concentration and Intensity Factors. Edited by G.C. Sih. Martinus Nijhoff (1981) 281–330.

  23. W. Doll, Journal of Materials Science 10 (1975) 935–942.

    Google Scholar 

  24. F. Kerkhof, Glastechnische Berichte 33, H. 12 (1960) 456–459.

    Google Scholar 

  25. W.G. Knauss and K. Ravi-Chandar, International Journal of Fracture 27 (1985) 127–143.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Dally, J.W., Fourney, W.L. & Irwin, G.R. On the uniqueness of the stress intensity factor — crack velocity relationship. Int J Fract 27, 159–168 (1985). https://doi.org/10.1007/BF00017965

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00017965

Keywords

Navigation