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A correlation of ΔK th-value with the exponent, m, in the equation of fatigue crack growth for various steels

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Abstract

Literature (mainly in Japan) relating to fatigue-crack-growth-data at R=0 in an air environment for a wide range of steels is reviewed with particular attention to the threshold stress intensity, ΔK th. The collected data are analyzed in terms of the exponent, m(the slope of the linear portion of the log(da/dN)-logΔD relationship) by taking account of microstructure, material strength, fracture toughness and specimen thickness. The mean rate of fatigue crack growth for ductile steels in the range from the intermediate growth rate to threshold level and the relevant threshold values at R=0, ΔK th0, can be represented asda/dN = 1.700 × 10-4(ΔK103.6)m - 10-6andΔK th0 = 103.6(5.88 × 10-3)1/m,where (da/dN) and ΔK are measured by the units of mm/cycle and kgf/mm3/2, respectively. Contrary to this, in the case of extremely brittle steels with K IC-value below 200 kgf/mm3/2 (the fracture occurs by the intergranular separation), the relationships are given byda/dN = 2.893 × 10-5(ΔK/49.94)m - 2.5 × 10-7andΔK th0 = 49.94(8.64 × 10-3)1/m.

Résumé

La littérature, principalement japonaise, relative aux données sur la propagation des fissures de fatigue pour R=0 dans un environnement d'air et pour une large catégorie d'aciers fait l'objet d'une revue avec une attention particulière pour l'intensité de contrainte de seuil, K th. Les données collectées sont analysées en terme de l'éxposant m (qui représente la pente de la portion linéaire de la relation log(da/dN)-log ΔK, en tenant compte de la microstructure, de la résistance du matériau, de la ténacité à la rupture et de l'épaisseur de l'éprouvette. La vitesse moyenne de propagation d'une fissure de fatigue dans le cas des aciers ductiles dans la fourchette entre la vitesse intermédiaire de fissuration et le niveau critique, et les valeurs correspondantes de seuil à R=0, ΔK th0 peuvent être représentées par la relation:da/dN = 1.700 × 10-4(ΔK103.6)m - 10-6etΔK th0 = 103.6(5.88 × 10-3)1/m,où (da/dN) et ΔK sont mesurés en unités de mm/cycle et en kgf/mm3/2 respectivement. En contraste, dans le cas d'aciers extrèmement fragiles avec des valeurs K IC en dessous de 200 kgf/mm3/2 (la rupture se produit par une séparation intergranulaire), ces relations sont données par:da/dN = 2.893 × 10-5(ΔK/49.94)m - 2.5 × 10-7etΔK th0 = 49.94(8.64 × 10-3)1/m.

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References

  1. C.J. Beevers, Proceedings, International Conference on Fracture 4, Waterloo, Canada, 1 (1977) 239.

  2. P.C. Paris and F. Erdogan, Journal of Basic Engineering, Transactions ASME, D85 (1963) 528.

    Google Scholar 

  3. R.O. Ritchie, Metal Science, 11 (1977) 368.

    Google Scholar 

  4. M. Klesnil and P. Lukas, Materials Science and Engineering, 9 (1972) 231–240.

    Google Scholar 

  5. E. Sasaki, A. Ohta and M. Kosuge, Transactions National Research Institute for Metals, 19 (1977) 183–199.

    Google Scholar 

  6. R.J. Cooke, P.E. Irving, G.S. Booth, and C.J. Beevers, Engineering Fracture Mechanics 7 (1975) 69.

    Google Scholar 

  7. H. Kitagawa and M. Misumi, Proceedings, International Conference on Mechanical Behaviors of Materials, Kyoto, 2 (1972) 218.

    Google Scholar 

  8. H. Koshiga and M. Kawahara, (in Japanese), Journal of the Society of Naval Architects of Japan 153 (1973) 305–312.

    Google Scholar 

  9. T. Yokobori, I. Kawada and H. Hata, Research Institute for the Strength of Fracture of Materials, 9 (1973) 35–64.

    Google Scholar 

  10. T. Yokobori and T. Aizawa, Research Institute for the Strength of Fracture of Materials, 9 (1973) 65–67.

    Google Scholar 

  11. K. Tanaka and S. Matsuoka, International Journal of Fracture, 13 (1977) 563–583.

    Google Scholar 

  12. P.N. Thielen and M.E. Fine, Metallurgical Transactions 6 (1975) 2133.

    Google Scholar 

  13. A.A. Antil and E.B. Kula, ASTM STP 462 (1971) 297.

  14. G.A. Miller, Transactions ASM, 61 (1968) 442–448.

    Google Scholar 

  15. R.O. Ritchie and J.F. Knott, Acta Metallurgica 21 (1973) 639–648.

    Google Scholar 

  16. C.E. Richards and T.C. Lindley, Engineering Fracture Mechanics 4 (1972) 951–978.

    Google Scholar 

  17. S. Horibe, R. Sagawa, T. Fujita and T. Araki, (in Japanese), Tetsu-to-Hagane (Journal of the Iron and Steel Institute of Japan), 64 (1978) 84–93.

    Google Scholar 

  18. S. Horibe, Y. Seki, T. Fujita and T. Araki, Tetsu-to-Hagane (Journal of the Iron and Steel Institute of Japan), 64 (1978) 94–103.

    Google Scholar 

  19. M. Kikukawa, M. Jono, K. Tanaka and M. Takatani, (in Japanese) Journal of the Society for Material Science (Japan), 25 (1976) 899–903.

    Google Scholar 

  20. C. Masuda and S. Nishijima, Journal of the Society for Material Science (Japan), 27 (1978) 59–63.

    Google Scholar 

  21. R. Murakami, H. Kobayashi, and H. Nakazawa, (in Japanese), Reprints of Japanese Society of Mechanical Engineers, No. 750-13 (1975) 303.

  22. R. Murakami, H. Kobayashi, A. Komine, and H. Nakazawa, Ibid., No. 760-2 (1976) 233–244.

  23. R. Murakami, H. Kobayashi, and H. Nakazawa, Ibid., No. 770-2 (1977) 151–158.

  24. E. Shibuya, H. Kobayashi, and H. Nakazawa, Ibid., No. 760-13 (1976) 191–193.

  25. K. Fujita, H. Kobayashi, A. Komine and H. Nakazawa, Ibid., No. 760-13 (1976) 216–218.

  26. H. Kobayashi, Ibid., No. 760-9 (1976) 1.

  27. Y. Kitsunai and M. Tanaka, Ibid., No. 760-2 (1976) 229 and No. 760-9 (1976) 35.

  28. H. Nishitani and M. Murata, Ibid., No. 760-2 (1976) 217.

  29. H. Kitagawa and S. Takahashi, Ibid., No. 760-2 (1976) 213.

  30. A. Otsuka, K. Mori, and K. Kawamura, Ibid., No. 760-13 (1976) 249.

  31. C.J. Beevers, R.J. Cooke, J.F. Knott, and R.O. Ritchie, Metal Science, 9 (1975) 119.

    Google Scholar 

  32. C.M. Branco, J.C. Radon and L.E. Culver, Metal Science, 10 (1976) 149.

    Google Scholar 

  33. P.E. Irving and L.N. McCartney, Metal Science, 11 (1977) 351.

    Google Scholar 

  34. R. Mclester, Metal Science, 11 (1977) 303.

    Google Scholar 

  35. R.J. Cooke and C.J. Beevers, Materials Science and Engineering 13 (1974) 201

    Google Scholar 

  36. L.P. Pook, ASTM STP513, (1972) 106–124.

  37. P.C. Paris, R.J. Bucci, E.T. Wessel, W.G. Clark, and T.R. Mager, Ibid., (1972) 141.

  38. J. Masounave and J.P. Bailon, Scripta Met., 9 (1975) 723–730 and 10 (1976) 165–170.

    Google Scholar 

  39. K. Sumida and I. Uchiyama, Unpublished work in NRIM.

  40. T.R. Gurney, Metal Const., 1 (1969) 91–96.

    Google Scholar 

  41. S.J. Maddox, Welding Institute Research Report E/48/72 (1972).

  42. J.M. Barsom, E.J. Imnof and S.T. Rolfe, Engineering Fracture Mechanics, 2 (1971) 301.

    Google Scholar 

  43. K. Kobayashi, A. Narumoto, T. Funakoshi, and Hirai, (in Japanese), Kawasaki Steel Technical Report, 8 (1976) 336.

    Google Scholar 

  44. H. Kitagawa and T. Matsumoto, (in Japanese), Journal of the Japanese Society of Mechanical Engineers, 43 (1977) 2421.

    Google Scholar 

  45. P. Lukas and M. Klesnil, Engineering Fracture Mechanics 8 (1976) 621–629.

    Google Scholar 

  46. W. Elber, ASTM STP 486, (1971) 230–242.

  47. V. Weiss and D.N. Lal, Metallurgical Transactions 5 (1974) 1946–1949.

    Google Scholar 

  48. S. Majumdar and JoDean Morrow, ASTM STP 559, (1974) 159–182.

  49. T. Yokobori, A.T. YokoboriJr., and A. Kamei, International Journal of Fracture, 11 (1975) 781–788.

    Google Scholar 

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Authors and Affiliations

  1. Fatigue Testing Division, National Research Institute for Metal, 153, Tokyo, Japan

    K. Tanaka

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  1. K. Tanaka
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Tanaka, K. A correlation of ΔK th-value with the exponent, m, in the equation of fatigue crack growth for various steels. Int J Fract 15, 57–68 (1979). https://doi.org/10.1007/BF00115909

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  • DOI: https://doi.org/10.1007/BF00115909

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