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Study of the relationship between fracture toughness (J IC) and bulge ductility

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Abstract

A theoretical model relating fracture toughness expressed as J IC and bulge ductility {ie71-1} for a material exhibiting linear elastic behavior at low temperature and elastic-plastic behavior at higher temperatures is proposed. This model shows a variation of J IC with {ie71-2} for linear elastic behavior and J IC with {ie71-3} for elastic-plastic behavior. The model contains three constants to be determined experimentally for a given material, specimen geometry and testing conditions. A case study on 1045 steel in the temperature range −60 to 25°C confirms the validity of the model. The experimental results help in determining the size of the fracture zone ahead of the crack as well as the mechanisms for crack blunting and crack growth.

Résumé

On propose un modèle théorique reliant la ténacité à la rupture-exprimée par J IC-et la ductilité vis-à-vis du gonflement-exprimée par ∈f, α=1 β=0-pour un matériau à comportement linéaire élastique aux basses températures, et élasto-plastique aux températures élevées.

Le modèle montre que J IC est fonction de {ie79-4} pour le comportement élastique, et de ∈ pour le comportement élasto-plastique.

Trois constantes du modèle sont à déterminer expérimentalement, pour un matériau, une géométrie d'éprouvette, et des conditions d'essais donnés. Sa validité est confirmée par une étude de cas, portant sur un acier 1045 dans une gamme de températures comprise entre −60 et +25°C.

Les résultats expérimentaux contribuent à déterminer la taille de la zone de rupture en avant de la fissure, ainsi que le mécanisme d'arrondissement et de croissance de la fissure.

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References

  1. P.W. Bridgeman, Studies in Large Plastic Flow and Fracture, Harvard University Press, Cambridge, Mass. (1964).

    Google Scholar 

  2. F.C. Allen, in ASTM STP 486, American Society for Testing and Materials (1971) 16–38.

  3. D.P. Clausing, International Journal of Fracture Mechanics 6 (1970) 71–85.

    Google Scholar 

  4. V. Weiss, in Proceedings of the 1971 International Conference on Mechanical Behavior of Materials, The Society of Materials Science, Japan, Vol. 1 (1972) 458–474.

  5. V. Weiss, Y. Kasai and K. Sieradzki, in ASTM STP 605, American Society for Testing and Materials (1976) 16–33.

  6. M.R. Bayoumi and M.N. Bassim, accepted for publication in Engineering Fracture Mechanics (1982).

  7. A.A. Griffith, Transactions, Royal Society of London (1920) A-221.

  8. J.R. Rice, in Treatise on Fracture. Vol. 2, H.A. Liebowitz, Ed., Academic Press (1968) 191–311.

  9. J.R. Rice and M.A. Johnson, in Inelastic Behavior of Solids M.F. Kanninen, W.F. Adler, A.R. Rosenfield and R.I. Jafee, Ed., McGraw-Hill, New York (1970) 641–672.

    Google Scholar 

  10. P.C. Paris, H. Tada, A. Zahoor and H. Ernst, in ASTM STP 668, American Society for Testing and Materials (1979) 5–36.

  11. M.R. Bayoumi and M.N. Bassim, submitted to International Conference on Materials, ICM4, Stockholm, Sweden (1983).

  12. K.F. Amouzouvi and M.N. Bassim, Materials Science and Engineering (1982) in press.

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

    Google Scholar 

  14. R.O. Ritchie, W.L. Server and R.A. Wullaert, Metallurgical Transactions 10A (1979) 1557–1570.

    Google Scholar 

  15. L.S. Costin and J. Duffy, Transactions of the ASME 101 (1979) 258–264.

    Google Scholar 

  16. R.H. Sailors, in ASTM STP 605, American Society for Testing and Materials (1976) 34–61.

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Bayoumi, M.R., Bassim, M.N. Study of the relationship between fracture toughness (J IC) and bulge ductility. Int J Fract 23, 71–79 (1983). https://doi.org/10.1007/BF00020159

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  • DOI: https://doi.org/10.1007/BF00020159

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