Abstract
From a mechanical analysis of plastic yielding in V-notch stress singularities and the experimental result that the driving force of a short crack is minimum at the end of the notch cyclic plastic zone, a general formulation of the endurance limit of V-notched members as a function of the length of a precrack is derived. Kitagawa-type diagrams which depend on the notch angle ψ and the material threshold and cyclic yield stress are obtained. The results are coherent in the limit case of a crack (ψ = 0) and the classical Kitagawa diagram is shown to be the particular case when ψ tends to 180°. This suggests that a general theory should govern short crack behavior in both smooth and severe geometries. As the notch angle increases from 0 to 180°, the uncracked notch endurance limit increases progressively from a full dependence on the threshold to a full dependence on the cyclic yield stress. The critical crack length of the endurance diagram also corresponds for severe notches to the maximum length of a non-propagating crack and to the minimum amount of notch plasticity for fracture. The slope of the decrease beyond this length decreases with decreasing notch angle and vanishes in the case of a crack. While the critical crack length only depends on notch angle, the uncracked notch endurance limit decreases with increasing notch size. The lower the notch angle, the larger the size effect. On the other hand, “short” notches, for which the minimum amount of notch plasticity is not reached before general yielding, do not affect the endurance limit.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
H. Kitagawa and S. Takahashi. 2nd Int. Conf. on Mechanical Behavior of Materials, ASM Proceedings, p627 (1976).
K. Tanaka, Y. Nakai and M. Yamashita, Int. J. Fract. 17, p519 (1981).
J. Lankford, Fatigue Fracture Engng Mater. Structures 8, p161 (1985).
J. Lankford, Fatigue Engng Mater. Structures 5, p233 (1982).
I. Le May and S.K.P. Cheung, Proc. FATIGUE 84, Vol. II, p677 (1984).
R.L. Carlson and A. Saxena, Int. J. Fract. 33, R37 (1987).
R.J. Allen and J.C. Sinclair, Fatigue Engng Mater. Structures 5, p343 (1982).
M.H. El Haddad, K.N. Smith and T.H. Topper, ASTM STP 677, p274 (1979).
K. Tanaka and Y. Nakai, Fatigue Engng Mater. Struc. 6, p 315 (1983).
N.I. Frost and D.S. Dugdale, J. Mech. Phys. Solids 5, p 182 (1957).
Y. Verreman, J.P. Baïlon and J. Masounave, in the Behaviour of Short Fatigue Cracks (Edited by K.J. Miller and E.R. de los Rios), EGF Pub.1, p 387 (1986).
M.L. Williams, J. of Applied Mechanics 19, 4, p526 (1952).
Y. Verreman, J.P. Baïlon and J. Masounave, Fatigue Fracture Engng Mater. Structures 10, p17 (1987).
B. Gross and A. Mendelson, Int. J. Fracture. Mech. 8, 3, p267 (1972).
G.R. Irwin., Proc. 7th Sagamore Conference, Vol. IV, p 63 (1960).
Y. Verreman, J.P. Baïlon and J. Masounave, Proc. FATIGUE 87, Vol. I, p 371 (1987).
J.C. Newman Jr., ASTM STP 748, p53 (1981).
R. Bell, O. Vosikovsky, D.J. Burns and U.H. Mohaupt., Proc. 3rd Int. ECSC Offshore Conference on Steel in Marine Structures, p 901 (1987).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1989 Kluwer Academic Publishers
About this chapter
Cite this chapter
Verreman, Y., Dickson, J.I., Bailon, J.P. (1989). Generalization of the Kitagawa Diagram to V-Notched Members. In: Branco, C.M., Rosa, L.G. (eds) Advances in Fatigue Science and Technology. NATO ASI Series, vol 159. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-2277-8_37
Download citation
DOI: https://doi.org/10.1007/978-94-009-2277-8_37
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-7521-3
Online ISBN: 978-94-009-2277-8
eBook Packages: Springer Book Archive