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

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Abstract

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 K I, K II, K III 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-K I criterion are also determined, making it possible to investigate the problem of crack growth behaviour under tensile or bending fatigue loads.

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References

  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. A.S. Salah el din and J.M. Lovegrove, International Journal of Fatigue 3 (1981) 117–123.

    Article  Google Scholar 

  3. K. Nezu, S. Machida and H. Nakamura, in The 25th Japan Congress on Material Research, Metallic Metals (1982) 87–92.

  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.

  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.

  6. A.J. Bush, in Proceedings of the Society for Experimental Stress Analys 33, 2 (1976) 249–257.

  7. O.E.K. Daoud, D.J. Cartwright and M. Carney, Journal of Strain Analysis 13, 2 (1978) 83–89.

    Google Scholar 

  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.

  9. A.J. Bush, Journal of Testing and Evaluation 9, 4 July (1981) 216–233.

    Google Scholar 

  10. M.A. Astiz, M. Elices and A. Valiente, European Congress on Fracture (ECF-6) (1986) 65–74.

  11. W.S. Blackburn, Engineering Fracture Mechanics 8 (1976) 731–736.

    Article  Google Scholar 

  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. Y-X. Fan, Y-T. Fan and D-J. Fan, Engineering Fracture Mechanics 16, 1 (1982) 55–67.

    Article  Google Scholar 

  14. O.E.K. Daoud and D.J. Cartwright, Engineering Fracture Mechanics 19, 4 (1984) 701–707.

    Article  Google Scholar 

  15. O.E.K. Daoud and D.J. Cartwright, Journal of Strain Analysis 20, 1 (1985) 53–58.

    Google Scholar 

  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.

  17. K.J. Nord and T.J. Chung, International Journal of Fracture 30 (1986) 47–55.

    Google Scholar 

  18. M.A. Astiz, International Journal of Fracture 31 (1986) 105–124.

    Article  Google Scholar 

  19. M. Caspers and C. Mattheck, Fatigue and Fracture of Engineering Materials Structures 9, 5 (1987) 329–341.

    Google Scholar 

  20. J.H. Underwood and R.L. Woodward, Experimental Mechanics 29, 2 (1989) 66–168.

    Google Scholar 

  21. E. Si, Engineering Fracture Mechanics 37, 4 (1990) 805–812.

    Article  Google Scholar 

  22. A. Levan and J. Royer, International Journal of Fracture 31 (1986) 125–142.

    Article  Google Scholar 

  23. H.D. Bui, Journal of Mechanics and Physics of Solids 25 (1977) 29–39.

    Article  Google Scholar 

  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).

  25. R.S. Barsoum, International Journal of Numerical Methods in Engineering 10, 1 (1976) 25–37.

    Google Scholar 

  26. A. Levan and B. Peseux, International Journal of Numerical Methods in Engineering 26 (1988) 2383–2402.

    Google Scholar 

  27. W.G. Knauss, International Journal of Fracture 6, 2 (1970) 183–187.

    Google Scholar 

  28. E. Sommer, Engineering Fracture Mechanics 1, 3 (1969) 539–546.

    Article  Google Scholar 

  29. Z.P. Bazant and L.F. Estenssoro, International Journal of Solids and Structures 15 (1979) 405–426.

    Google Scholar 

  30. W.T. Koiter, Journal of Applied Mechanics 23 (1965) 237.

    Google Scholar 

  31. H. Tada, P. Paris and G. Irwin, The Stress Analysis of Cracks Handbook, Del Research Corporation (1973).

  32. R.G. Forman, V. Shivakumar, J.C. Newman, L. Williams and S. Piotrowski, Fatigue crack growth computer program, NASA/FLAGRO, Version June (1985).

  33. F.W. Smith, A.S. Kobayashi and A.F. Emery, Journal of Applied Mechanics, December (1967) 953–959.

  34. J.C. Newman, Engineering Fracture Mechanics 5 (1973) 667–689.

    Article  Google Scholar 

  35. H. Nisitani and Y. Murakami, International Journal of Fracture 10, 3 (1974) 353–368.

    Article  Google Scholar 

  36. J.C. Newman and I.S. Raju, Engineering Fracture Mechanics 15, 1–2 (1981) 185–192.

    Article  Google Scholar 

  37. M. Isida, H. Noguchi and T. Yoshida, International Journal of Fracture 2 (1984) 157–188.

    Google Scholar 

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Authors and Affiliations

  1. Laboratoire de Mécanique des Structures, Ecole Centrale de Nantes, 1 rue de la Noë, 44072 Cedex 03, Nantes, France

    A. Levan & J. Royer

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  1. A. Levan
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  2. J. Royer
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Levan, A., Royer, J. Part-circular surface cracks in round bars under tension, bending and twisting. Int J Fract 61, 71–99 (1993). https://doi.org/10.1007/BF00032340

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  • DOI: https://doi.org/10.1007/BF00032340

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