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.
Similar content being viewed by others
References
A. Athanassiadis, J.M. Boissenot, P. Brevet, D. Francois and A. Raharinaivo, International Journal of Fracture 17, 6 (1981) 553–566.
A.S. Salah el din and J.M. Lovegrove, International Journal of Fatigue 3 (1981) 117–123.
K. Nezu, S. Machida and H. Nakamura, in The 25th Japan Congress on Material Research, Metallic Metals (1982) 87–92.
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.
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.
A.J. Bush, in Proceedings of the Society for Experimental Stress Analys 33, 2 (1976) 249–257.
O.E.K. Daoud, D.J. Cartwright and M. Carney, Journal of Strain Analysis 13, 2 (1978) 83–89.
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.
A.J. Bush, Journal of Testing and Evaluation 9, 4 July (1981) 216–233.
M.A. Astiz, M. Elices and A. Valiente, European Congress on Fracture (ECF-6) (1986) 65–74.
W.S. Blackburn, Engineering Fracture Mechanics 8 (1976) 731–736.
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.
Y-X. Fan, Y-T. Fan and D-J. Fan, Engineering Fracture Mechanics 16, 1 (1982) 55–67.
O.E.K. Daoud and D.J. Cartwright, Engineering Fracture Mechanics 19, 4 (1984) 701–707.
O.E.K. Daoud and D.J. Cartwright, Journal of Strain Analysis 20, 1 (1985) 53–58.
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.
K.J. Nord and T.J. Chung, International Journal of Fracture 30 (1986) 47–55.
M.A. Astiz, International Journal of Fracture 31 (1986) 105–124.
M. Caspers and C. Mattheck, Fatigue and Fracture of Engineering Materials Structures 9, 5 (1987) 329–341.
J.H. Underwood and R.L. Woodward, Experimental Mechanics 29, 2 (1989) 66–168.
E. Si, Engineering Fracture Mechanics 37, 4 (1990) 805–812.
A. Levan and J. Royer, International Journal of Fracture 31 (1986) 125–142.
H.D. Bui, Journal of Mechanics and Physics of Solids 25 (1977) 29–39.
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).
R.S. Barsoum, International Journal of Numerical Methods in Engineering 10, 1 (1976) 25–37.
A. Levan and B. Peseux, International Journal of Numerical Methods in Engineering 26 (1988) 2383–2402.
W.G. Knauss, International Journal of Fracture 6, 2 (1970) 183–187.
E. Sommer, Engineering Fracture Mechanics 1, 3 (1969) 539–546.
Z.P. Bazant and L.F. Estenssoro, International Journal of Solids and Structures 15 (1979) 405–426.
W.T. Koiter, Journal of Applied Mechanics 23 (1965) 237.
H. Tada, P. Paris and G. Irwin, The Stress Analysis of Cracks Handbook, Del Research Corporation (1973).
R.G. Forman, V. Shivakumar, J.C. Newman, L. Williams and S. Piotrowski, Fatigue crack growth computer program, NASA/FLAGRO, Version June (1985).
F.W. Smith, A.S. Kobayashi and A.F. Emery, Journal of Applied Mechanics, December (1967) 953–959.
J.C. Newman, Engineering Fracture Mechanics 5 (1973) 667–689.
H. Nisitani and Y. Murakami, International Journal of Fracture 10, 3 (1974) 353–368.
J.C. Newman and I.S. Raju, Engineering Fracture Mechanics 15, 1–2 (1981) 185–192.
M. Isida, H. Noguchi and T. Yoshida, International Journal of Fracture 2 (1984) 157–188.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
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
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF00032340