Abstract
A three-dimensional diagram is presented in which the fatigue limit of notched components is plotted as a function of the notch stress concentration factor K t and the α2 a/a 0 ratio, α, a and a 0 being a shape factor, the notch depth and the El Haddad–Smith–Topper length parameter, respectively. Intersections with the planes normal to the axes allow the display of the different influence of crack nucleation and propagation on the fatigue limit of notched components.
Similar content being viewed by others
References
Atzori, B. and Lazzarin, P. (2001). Notch sensitivity and defect sensitivity under fatigue loading: two sides of the same medal. International Journal of Fracture 107, L3-L8.
Atzori, B., Lazzarin, P. and Tovo, R. (1999). Stress field parameters to predict the fatigue strength of notched components. Journal of Strain Analysis 34, 437–453.
Atzori, B., Lazzarin, P. and Meneghetti, G. (2002a). Interpretation of the fatigue limit of materials based on micromechanics. Proceedings of the 8th International Fatigue Congress, Stockholm, Sweden, Volume III (Edited by A.F. Blom), EMAS Publishing, pp. 1857–1864.
Atzori, B., Lazzarin, P. and Meneghetti, G. (2003). Fracture mechanics and notch sensitivity. Fatigue and Fracture of Engineering Materials and Structures 26, 257–267.
Atzori, B., Lazzarin, P. and Meneghetti, G. (2002b). Sensitivity to defects and fracture mechanics for metallic materials under fatigue loading. Proceedings of the 14th European Conference on Fracture 'Fracture mechanics beyond 2000', Cracow, Poland. Volume I (Edited by A. Neimitz, I.V. Rokach, D. Kocanda, K. Golos), EMAS Publishing, pp. 129–136.
DuQuesnay, D.L., Yu, M.T. and Topper, T.H. (1988). An analysis of notch size effect on the fatigue limit. Journal of Testing and Evaluation 4, 375–385.
Frost, N.E. (1957). Non-propagating cracks in Vee-notched specimens subjected to fatigue loading. Aeronaut. Quart. VIII, 1–20.
Frost, N.E. (1959). A relation between the critical alternating propagation stress and crack length for mild steel. Proc. Inst. Mech. Engrs. 173, 811–834.
Frost, N.E., Marsh, K.J. and Pook, L.P. (1974). Metal Fatigue. Oxford University Press, Oxford.
Harkegard, G. (1981). An effective stress intensity factor and the determination of the notched fatigue limit. Fatigue Thresholds: Fundamentals and Engineering Applications, Vol II (Edited by J. Backlund, A.F. Blom and C.J. Beevers), Chameleon Press Ltd., London, pp. 867–879.
Kitagawa, H. and Takahashi, S. (1976). Applicability of fracture mechanics to very small cracks in the early stage. Proceedings Second International Conference on Mechanical Behaviour of Materials, pp. 627–631.
Lazzarin, P., Tovo, R. and Meneghetti, G. (1997). Fatigue Crack Initiation and Propagation Phases near Notches in Metals with Low Notch Sensitivity. International Journal of Fatigue 19, 647–657.
Lukas, P., Kunz, L., Weiss, B. and Stickler, R. (1986). Non-damaging notches in fatigue. Fatigue and Fracture of Engineering Materials and Structures 9, 195–204.
Neuber, H. (1968) Ñber die Berücksichtigung der Spannungskonzentration bei Festigkeitsberechnungen. Konstruction 20, 245–251.
Nisitani, H. and Endo, M. (1988) Unified treatment of Deep and Shallow Notches in Rotating Bending Fatigue. ASTM ST924. Basic Questions in Fatigue I, 136–153.
Peterson, R.E. (1959). Notch sensitivity. In: Metal Fatigue (Edited by G. Sines and J.L. Waisman), McGraw Hill, New York, pp. 293–306.
Smith, R.A. and Miller, K.J. (1978). Prediction of fatigue regimes in notched components. International Journal of Mechanical Science 20, 201–206.
Tanaka, K. (1983). Engineering formulae for fatigue strength reduction due to crack-like notches. International Journal of Fracture 22, R39–R46.
Tanaka, K. and Akiniwa, Y. (1987). Notch geometry effect on propagation threshold of short fatigue cracks in notched components. Fatigue `87, Vol. II (Edited by R.O. Ritchie and E.A. Starke Jr), 3rd International Conference on Fatigue and Fatigue Thresholds, Charlottesville, Va, pp. 739–748.
Tanaka, K. and Nakai, Y. (1983). Propagation and non propagation of short fatigue cracks at a sharp notch. Fatigue and Fracture of Engineering Materials and Structures 6, 315–327.
Tanaka, K., Nakai, Y. and Yamashita, M. (1981). Fatigue growth threshold of small cracks. International Journal of Fracture 17, 519–533.
Taylor, D. (1999). Geometrical effects in fatigue: a unifying theoretical model. International Journal of Fatigue 21, 413–420.
Taylor, D. (2001). A mechanistic approach to critical-distance methods in notch fatigue. Fatigue and Fracture of Engineering Materials and Structures 24, 215–224.
Taylor, D. and Wang, G. (2000). The validation of some methods of notch fatigue analysis. Fatigue and Fracture of Engineering Materials and Structures 23, 387–384.
Ting, J.C. and Lawrence, F.V. (1993) A crack closure model for predicting the threshold stresses of notches. Fatigue and Fracture of Engineering Materials and Structures 16, 93–114.
Yu, M.T., DuQuesnay, D.L. and Topper, T.H. (1988). Notch fatigue behaviour of SAE 1045 steel. International Journal of Fatigue 10 (2), 109–116.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Atzori, B., Lazzarin, P. A three-dimensional graphical aid to analyze fatigue crack nucleation and propagation phases under fatigue limit conditions. International Journal of Fracture 118, 271–284 (2002). https://doi.org/10.1023/A:1022965909483
Issue Date:
DOI: https://doi.org/10.1023/A:1022965909483