Metallurgical Transactions A

, Volume 14, Issue 11, pp 2277–2287 | Cite as

A local criterion for cleavage fracture of a nuclear pressure vessel steel

  • F. M. Beremin
  • Andre Pineau
  • Francois Mudry
  • Jean-Claude Devaux
  • Yannick D’Escatha
  • Patrick Ledermann
Mechanical Behavior


Experiments were performed on three heats of A508 class 3 steel in order to determine the mechanical conditions for cleavage fracture. These tests were carried out on various geometries including 4-point bend specimens and axisymmetric notched tensile bars with different notch radii which have been modelized using the finite element method. In one heat, the temperature range investigated was from 77 K to 233 K. It is shown that the cleavage resistance is increased by tensile straining. Moreover, the probability of fracture obeys the Weibull statistical distribution. All the results can be accounted for in terms of a local criterion based on Weibull theory and which takes into account the effect of plastic strain. In this criterion, the parameters which were experimentally determined are found to be temperature independent over the range 77 K to 170 K. The applicability of the approach proposed for cleavage fracture at the crack tip is also examined. It is shown that the experimental results published in the literature giving the variation of fracture toughness with temperature can be explained by the proposed criterion which predicts reasonably well both the scatter in the experimental results and theK ICtemperature dependence.


Metallurgical Transaction Cleavage Fracture Maximum Principal Stress Local Criterion Bend Specimen 
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  1. 1.
    A. Pineau:Proceedings 5th International Conference on Fracture, Cannes, March 1981, D. François, ed., Pergamon Press, vol. 2, pp. 533–77.Google Scholar
  2. 2.
    J. F. Knott:Proceedings 4th International Conference on Fracture, Waterloo, June 1977, D. Taplin, ed., University of Waterloo Press, vol. 1, pp. 61–92.Google Scholar
  3. 3.
    A. N. Stroh:Proc. Roy. Soc, 1954, vol. A223, p. 404.Google Scholar
  4. 4.
    4. A. H. Cottrell:Trans. TMS-AIME, 1958, vol. 212, p. 192.Google Scholar
  5. 5.
    E. Smith:Proceedings, Conference on Physical Basis of Yield and Fracture, Physical Society of Oxford, A. C. Strickland, ed., 1966, pp. 36-45.Google Scholar
  6. 6.
    J. F. Knott:Journal of Iron & Steel Institute, 1966, vol. 204, pp. 104–11.Google Scholar
  7. 7.
    C. J. MacMahon and M. Cohen:Acta Metall., 1965, vol. 13, p. 591.CrossRefGoogle Scholar
  8. 8.
    J. P. Naylor:Metall. Trans. A, 1979, vol. 10A, pp. 861–73.Google Scholar
  9. 9.
    P. Brozzo, G. Buzzichelli, A. Mascanzoni, and M. Misabile:Metal Science, 1977, vol. 11, pp. 123–29.CrossRefGoogle Scholar
  10. 10.
    H. Kotilainen, K. Torronen, and P. Nenonen:Proceedings 5th International Conference on Fracture, Cannes, March 1981, D. François, ed., Pergamon Press, vol. 2, pp. 723–30.Google Scholar
  11. 11.
    J. R. Griffiths and G. Oates:Proceedings 2nd International Conference on Fracture, P. L. Pratt, ed., Chapman and Hall, London, 1969, p. 419.Google Scholar
  12. 12.
    J. R. Griffiths and D. R. J. Owen:J. Mech. Phys. Solids, 1971, vol. 19, pp. 419–31.CrossRefGoogle Scholar
  13. 13.
    D. M. Parks:Trans. ASME, J. Eng. Mat. Techn., 1976, vol. 98, p. 90.Google Scholar
  14. 14.
    D. A. Curry: C. E. G. B., Leatherhead, England, report No. RD/L/N 154/80, unpublished research, 1980.Google Scholar
  15. 15.
    R. O. Ritchie, J. F. Knott, and J. R. Rice:J. Mech. Phys. Solids, 1973, vol. 21, p. 395.CrossRefGoogle Scholar
  16. 16.
    D. A. Curry:Metal. Science, 1980, vol. 14, p. 78.CrossRefGoogle Scholar
  17. 17.
    R. O. Ritchie, W. L. Server, and R. A. Wullaert:Metall. Trans. A, 1979, vol. 10A, pp. 1557–70.Google Scholar
  18. 18.
    W. L. Server and W. Oldfield: EPRI-report No. NP-933. Electric Power Research Institute, Palo Alto, CA, 1978.Google Scholar
  19. 19.
    F. M. Beremin:J. Mécanique Appliquée, 1980, vol. 4, pp. 307–25.Google Scholar
  20. 20.
    F. M. Beremin:Metall. Trans. A, 1981, vol. 12A, pp. 723–31.Google Scholar
  21. 21.
    R. Hill:The Mathematical Theory of Plasticity, Clarendon Press, Oxford, England, 1950, p. 245.Google Scholar
  22. 22.
    J. C. Devaux: Framatome Company, Saint-Marcel, France, unpublished research, 1980.Google Scholar
  23. 23.
    F. Mudry: Thesis 1982, Université de Technologie de Compiègne, Compiègne, France.Google Scholar
  24. 24.
    P. W. Bridgman:Studies in Large Plastic Flow and Fracture, McGraw-Hill, New York, NY, 1952, p. 1.Google Scholar
  25. 25.
    W. Weibull:Ing. Vetenskap Akad. Handl., 1939, vol. 12, p. 153.Google Scholar
  26. 26.
    F. McClintock and A. S. Argon:Mechanical Behavior of Materials, Addison-Wesley Inc., Reading, MA, 1966, pp. 504–08.Google Scholar
  27. 27.
    J. C. Devaux, B. Bouche, and A. Ponsot: Framatome & Creusot-Loire Company, Saint-Marcel, Le Creusot, France, unpublished research, 1982.Google Scholar
  28. 28.
    J. D. G. Groom and J. F. Knott:Metal Science, 1975, vol. 9, pp. 390–400.CrossRefGoogle Scholar
  29. 29.
    J. F. Knott:Journal of the Iron Steel Institute, 1967, vol. 205, pp. 966–69.Google Scholar
  30. 30.
    J. W. Hutchinson:J. Mech. Phys. Solids, 1968, vol. 16, pp. 13–31.CrossRefGoogle Scholar
  31. 31.
    J. R. Rice and G. F. Rosengren:J. Mech. Phys. Solids, 1968, vol. 16, pp. 1–13.CrossRefGoogle Scholar
  32. 32.
    G. T. Hahn, R. G. Hoaghand, and A. R. Rosenfield:Metall. Trans., 1971, vol. 2, pp. 537–41.Google Scholar
  33. 33.
    D. A. Curry:J. Mat. Sciences Techn., 1980, vol. 14, pp. 78–80.Google Scholar
  34. 34.
    T. Iwadate, Y. Tanaka, S. Ono, and J. Watanabe:Second Symposium on Elastic-Plastic Fracture Mechanics, October 1981, ASTM STP, in press.Google Scholar
  35. 35.
    F. M. Beremin:Proceedings 5th International Conference on Fracture, Cannes, March 1981, D. François, ed., Pergamon Press, vol. 2, pp. 825–32.Google Scholar

Copyright information

© The Metallurgical of Society of AIME 1983

Authors and Affiliations

  • F. M. Beremin
    • 1
  • Andre Pineau
    • 1
  • Francois Mudry
    • 1
  • Jean-Claude Devaux
    • 2
  • Yannick D’Escatha
    • 3
  • Patrick Ledermann
    • 3
  1. 1.Centre des Matériaux de l’Ecole des Mines de ParisFrance
  2. 2.Centre de calcul de la division des fabrications de FramatomeSaint-MarcelFrance
  3. 3.Bureau de Contrôle de la Construction NucléaireDijonFrance

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