International Journal of Fracture

, Volume 61, Issue 1, pp 71–99 | Cite as

Part-circular surface cracks in round bars under tension, bending and twisting

  • A. Levan
  • J. Royer


Circular-fronted cracks in round bars subject to tension, bending and twisting are considered. Numerical expressions are given allowing the calculation of stress intensity factors KI, KII, KIII at every point on the crack front for a wide range of crack geometries. Comparisons are made with analytical, experimental and numerical results abailable in the literature. Crack shapes satisfying the iso-KI criterion are also determined, making it possible to investigate the problem of crack growth behaviour under tensile or bending fatigue loads.


Fatigue Mechanical Engineer Civil Engineer Stress Intensity Intensity Factor 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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  1. 1.
    A. Athanassiadis, J.M. Boissenot, P. Brevet, D. Francois and A. Raharinaivo, International Journal of Fracture 17, 6 (1981) 553–566.Google Scholar
  2. 2.
    A.S. Salah el din and J.M. Lovegrove, International Journal of Fatigue 3 (1981) 117–123.CrossRefGoogle Scholar
  3. 3.
    K. Nezu, S. Machida and H. Nakamura, in The 25th Japan Congress on Material Research, Metallic Metals (1982) 87–92.Google Scholar
  4. 4.
    D. Wilhem, J. FitzGerald, J. Carter and D. Dittmer, in Advances in Fracture Research—Fracture 81. Proceedings of the 5th International Conference on Fracture Research (ICF-5), D. François (ed.), Pergamon Press (1982) 11–21.Google Scholar
  5. 5.
    R.G. Forman and V. Skivakumar, in Fracture Mechanics, vol. 17, ASTM STP 905, 17th National Symposium on Fracture Mechanics, Albany, New York (1986) 59–74.Google Scholar
  6. 6.
    A.J. Bush, in Proceedings of the Society for Experimental Stress Analys 33, 2 (1976) 249–257.Google Scholar
  7. 7.
    O.E.K. Daoud, D.J. Cartwright and M. Carney, Journal of Strain Analysis 13, 2 (1978) 83–89.Google Scholar
  8. 8.
    M. Astiz, M. Elices, J. Morton and A. Valiente, in Proceedings of the Society for Experimental Stress Analysis, Spring Meeting, Dearborn, Michigan (1981) 277–282.Google Scholar
  9. 9.
    A.J. Bush, Journal of Testing and Evaluation 9, 4 July (1981) 216–233.Google Scholar
  10. 10.
    M.A. Astiz, M. Elices and A. Valiente, European Congress on Fracture (ECF-6) (1986) 65–74.Google Scholar
  11. 11.
    W.S. Blackburn, Engineering Fracture Mechanics 8 (1976) 731–736.CrossRefGoogle Scholar
  12. 12.
    M.A. Astiz and M. Elices, in Proceedings of the Second International Conference on Numerical Methods in Fracture Mechanics, Pineridge Press, Swansea (1980) 93–106.Google Scholar
  13. 13.
    Y-X. Fan, Y-T. Fan and D-J. Fan, Engineering Fracture Mechanics 16, 1 (1982) 55–67.CrossRefGoogle Scholar
  14. 14.
    O.E.K. Daoud and D.J. Cartwright, Engineering Fracture Mechanics 19, 4 (1984) 701–707.CrossRefGoogle Scholar
  15. 15.
    O.E.K. Daoud and D.J. Cartwright, Journal of Strain Analysis 20, 1 (1985) 53–58.Google Scholar
  16. 16.
    I.S. Raju and J.C. Newman, in Fracture Mechanics, vol. 17, ASTM STP 905, 17th National Symposium on Fracture Mechanics, Albany, New York (1986) 789–805.Google Scholar
  17. 17.
    K.J. Nord and T.J. Chung, International Journal of Fracture 30 (1986) 47–55.Google Scholar
  18. 18.
    M.A. Astiz, International Journal of Fracture 31 (1986) 105–124.CrossRefGoogle Scholar
  19. 19.
    M. Caspers and C. Mattheck, Fatigue and Fracture of Engineering Materials Structures 9, 5 (1987) 329–341.Google Scholar
  20. 20.
    J.H. Underwood and R.L. Woodward, Experimental Mechanics 29, 2 (1989) 66–168.Google Scholar
  21. 21.
    E. Si, Engineering Fracture Mechanics 37, 4 (1990) 805–812.CrossRefGoogle Scholar
  22. 22.
    A. Levan and J. Royer, International Journal of Fracture 31 (1986) 125–142.CrossRefGoogle Scholar
  23. 23.
    H.D. Bui, Journal of Mechanics and Physics of Solids 25 (1977) 29–39.CrossRefGoogle Scholar
  24. 24.
    V.D. Kupradze, T.G. Gegelia, M.O. Bashelishvili and T.V. Burchuladze, Three-dimensional Problems of the Mathematical Theory of Elasticity and Thermoelasticity, North Holland (1979).Google Scholar
  25. 25.
    R.S. Barsoum, International Journal of Numerical Methods in Engineering 10, 1 (1976) 25–37.Google Scholar
  26. 26.
    A. Levan and B. Peseux, International Journal of Numerical Methods in Engineering 26 (1988) 2383–2402.Google Scholar
  27. 27.
    W.G. Knauss, International Journal of Fracture 6, 2 (1970) 183–187.Google Scholar
  28. 28.
    E. Sommer, Engineering Fracture Mechanics 1, 3 (1969) 539–546.CrossRefGoogle Scholar
  29. 29.
    Z.P. Bazant and L.F. Estenssoro, International Journal of Solids and Structures 15 (1979) 405–426.Google Scholar
  30. 30.
    W.T. Koiter, Journal of Applied Mechanics 23 (1965) 237.Google Scholar
  31. 31.
    H. Tada, P. Paris and G. Irwin, The Stress Analysis of Cracks Handbook, Del Research Corporation (1973).Google Scholar
  32. 32.
    R.G. Forman, V. Shivakumar, J.C. Newman, L. Williams and S. Piotrowski, Fatigue crack growth computer program, NASA/FLAGRO, Version June (1985).Google Scholar
  33. 33.
    F.W. Smith, A.S. Kobayashi and A.F. Emery, Journal of Applied Mechanics, December (1967) 953–959.Google Scholar
  34. 34.
    J.C. Newman, Engineering Fracture Mechanics 5 (1973) 667–689.CrossRefGoogle Scholar
  35. 35.
    H. Nisitani and Y. Murakami, International Journal of Fracture 10, 3 (1974) 353–368.CrossRefGoogle Scholar
  36. 36.
    J.C. Newman and I.S. Raju, Engineering Fracture Mechanics 15, 1–2 (1981) 185–192.CrossRefGoogle Scholar
  37. 37.
    M. Isida, H. Noguchi and T. Yoshida, International Journal of Fracture 2 (1984) 157–188.Google Scholar

Copyright information

© Kluwer Academic Publishers 1993

Authors and Affiliations

  • A. Levan
    • 1
  • J. Royer
    • 1
  1. 1.Laboratoire de Mécanique des StructuresEcole Centrale de NantesNantesFrance

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