Skip to main content
SpringerLink
Log in

Crack front elastic stress state for three-dimensional crack problems

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

Abstract

The problems inherent in the estimation of fracture mechanics parameters for three-dimensional crack problems are reviewed. A novel parameter is introduced to quantify the loss of constraint along that portion of a crack front adjacent to a free surface. Finite element analyses of a compact tension specimen with a straight crack front indicate the usefulness of this parameter in studying the influence of Poisson's ratio and plate thickness on the extent of the free surface boundary layer effect. A method for predicting the shape of a natural crack in this specimen is also presented.

Résumé

On passe en revue les problèmes inhérents à l'estimation des paramètres de mécanique de rupture dans le cas des fissures tridimensionnelles. Afin de quantifier l'absence de bridage qui caractérise la portion du front de fissure qui est adjacente à une surface libre, on a introduit un nouveau paramè00E8;tre. L'analyse par éléments finis d'une éprouvette de traction compacte présentant un front de fissure droit indique l'utilité de ce paramètre pour l'étude de l'influence du module de Poisson et de l'épaisseur d'une tôle sur l'effet de couche de bord caractérisant la surface libre. On présente également une méthode de prédiction de la forme d'une fissure naturelle dans ce type d'éprouvette.

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. G.C. Sih,International Journal of Fracture 7 (1971) 39–61.

    Google Scholar 

  2. B.K. Neale, The stress intensity factors associated with curved crack fronts in a compact tension specimen.Proceedings of First International Conference on Numerical Methods in Fracture Mechanics, Swansea, England (1978).

  3. K.H. Lee,The Effect of Crack Front Curvature on the Stress Intensity Factor in Compact Tension Specimens Using the Boundary Element Method. Sponsored Project Report, Welding Institute (1979).

  4. I.S. Raju and J.C. Newman,Engineering Fracture Mechanics 11 (1979) 817.

    Google Scholar 

  5. A.E. Green and I.N. Sneddon,Proceedings of Cambridge Philosophical Society 46 (1950) 159.

    Google Scholar 

  6. T.A. Cruse.International Journal of Fracture 6 (1970) RCR326–328.

    Google Scholar 

  7. D.M. Tracey,Nuclear Engineering and Design 26 (1974) 282.

    Google Scholar 

  8. R.J. Hartranft and G.C. Sih,Journal of Mathematics and Mechanics 19 (1969) 123.

    Google Scholar 

  9. R.J. Hartranft and G.C. Sih,Engineering Fracture Mechanics 9 (1977) 705.

    Google Scholar 

  10. S.P. Timoshenko and J.N. Goodier,Theory of Elasticity, McGraw Hill, New York (1970).

    Google Scholar 

  11. J.P. Benthem,International Journal of Solids and Structures 13 (1977) 479.

    Google Scholar 

  12. Z.P. Bazant and L.F. Estenssoro,International Journal of Solids and Structures 15 (1979) 405.

    Google Scholar 

  13. D.N. Fermer,International Journal of Fracture 12 (1976) 705–721.

    Google Scholar 

  14. R.J. Hartranft and G.C. Sih,International Journal of Engineering Science 8 (1970) 711.

    Google Scholar 

  15. Z.P. Bazant and L.F. Estenssoro,International Journal of Solids and Structures 16 (1980) 479.

    Google Scholar 

  16. C.L. Tan and R.T. Fermer,Proceedings of Royal Society of London A369 (1979) 243.

    Google Scholar 

  17. S.K. Chan, I.S. Tuba and W.K. Wilson,Engineering Fracture Mechanics 2 (1970) 1.

    Google Scholar 

  18. K.Y. Lin and P. Tong,International Journal of Numerical Methods in Engineering 15 (1980) 1343.

    Google Scholar 

  19. M.L. Williams,Journal of Applied Mechanics 19 (1952) 526–528.

    Google Scholar 

  20. R.D. Henshall and K.G. Shaw,International Journal of Numerical Methods in Engineering 11 (1977) 180.

    Google Scholar 

  21. R.S. Barsoum,International Journal of Numerical Methods in Engineering 10 (1976) 25.

    Google Scholar 

  22. A.R. Ingraffea and C. Manu,International Journal of Numerical Methods in Engineering 15 (1980) 1427.

    Google Scholar 

  23. A.H. Nayfeh and E.A-A.M. Nasser,International Journal of Numerical Methods in Engineering 17 (1981) 465.

    Google Scholar 

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

    Google Scholar 

  25. D.M. Parks,International Journal of Fracture 10 (1974) 487–502.

    Google Scholar 

  26. Annual Book of ASTM Standards, Part 10 — Tentative Method of Testing for Plane Strain Fracture Toughness of Metallic Materials E399-74, American Society for Testing and Materials, Philadelphia (1975) 561–580.

  27. L.E. Hulbert,International Journal of Fracture 13 (1977) RCR87–91.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mechanical Engineering, King's College, University of London, WC2R 2LS, London, UK

    D. N. Fenner & M. J. Abdul Mihsein

Authors
  1. D. N. Fenner
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. M. J. Abdul Mihsein
    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

Fenner, D.N., Abdul Mihsein, M.J. Crack front elastic stress state for three-dimensional crack problems. Int J Fract 25, 121–131 (1984). https://doi.org/10.1007/BF01141555

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01141555

Keywords

Search

Navigation