Abstract
Experimental evidence has shown that the fatigue limit of metallic cylindrical specimens in fully reversed bending is significantly higher than the respective limit in fully reversed tension-compression. The higher values of the bending fatigue limits observed have to be attributed to the benign influence of the gradient of the bending normal stress on the fatigue strength of the metal. Although many approaches for modelling the gradient effect under uniaxial normal cyclic stress have already been tried, attempts to model the very same problem under multiaxial cyclic stress systems are scarce. The present paper starts re-analyzing existing experimental results under cyclic normal stress (i.e. bending, tension-compression) and under cyclic shear stress (i.e. torsion). This closer examination shows that, although the fatigue srength at very high lives is strongly affected by the gradient of the normal stress in bending tests, it remains insensitive to variations of the gradient of the shear stress in torsion tests. Based on these observations, a gradient dependent multiaxial high-cycle fatigue criterion function of the stress invariants is formulated.
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References
Sines G. (1959). Behavior of metals under complex static and alternating stresses, In Metal Fatigue (G. Sines and J. L. Waisman Eds). McGraw Hill, New York, 145–169.
Crossland B. (1956). Effect of large hydrostatic pressures on the torsional fatigue strength of an alloy steel. In Proc. Int. Conf. on Fatigue of Metals, London-New York. Instistution of Mechanical Engineers, London, 138–149.
Findley W. N. (1959). A theory for the effect of mean stress on fatigue of metals under combined torsion and axial load or bending. Trans. ASME, Series B, Journal of Engineering for Industry, Vol. 81, 301–305.
Dang Van K., (1993), Macro-micro approach in high-cycle fatigue, In Advances in Multiaxial Fatigue, ASTM STP 1191, (D. L. McDowell and R. Ellis Eds). American Society for Testing and Materials, Philadelphia, 120–130.
McDiarmid D. L. (1991). A general criterion for high-cycle multiaxial fatigue failure. Fatigue Fract. Engng Mater. Struct. Vol. 14, 429–453.
Papadopoulos I. V., Davoli P., Gorla C., Filippini M. and Bernasconi A. (1997). A comparative study of multiaxial high-cycle fatigue criteria of metals. Int. J. Fatigue. Vol.19, 219–235.
Papadopoulos I. V. (1994). A new criterion of fatigue strength for out-of-phase bending and torsion of hard metals. Int. J. Fatigue, Vol. 16, 377–384.
Papadopoulos I. V. (1995). A high-cycle fatigue criterion applied in biaxial and triaxial out-of-phase stress conditions. Fatigue Fract. Engng Mater. Struct. Vol. 18,79–91.
Moore H. F. and Morkovin D. (1942). Progress report on the effect of size of specimen on fatigue strength of three types of steel. Proc. ASTM. Vol. 42, 145–153.
Moore H. F. and Morkovin D. (1943). Second progress report on the effect of size of specimen on fatigue strength of three types of steel. Proc. ASTM, Vol. 43, 109–120.
Moore H. F. and Morkovin D. (1944). Third progress report on the effect of size of specimen on fatigue strength of three types of steel. Proc. ASTM, Vol. 44, 137–158.
Moore H. F. (1945). A study of size effect and notch sensitivity in fatigue tests of steel. Proc. ASTM, Vol. 45, 507–531.
Cazaud R. (1952). Contribution à l’étude de l’effet de dimension dans les essais de fatigue des métaux. Résultats statistiques. La Metallurgia Italiana, Vol. 10, 512–517.
Massonnet Ch. (1955). Le dimensionnement des pièces de machines soumises à la fatigue. Contribution expérimentale à l’étude de l’effet de l’échelle et des entailles. Revue Universelle des Mines. Vol. 9, 203–222.
Massonnet Ch. (1956). The effect of size, shape and grain size on the fatigue strength of medium carbon steel. Proc. ASTM, Vol. 56, 954–978.
Pogoretskii R. G. and Karpenko G. V. (1965). Effect of test piece length on the fatigue strength of steel in air. Fiziko-khimicheskaya mekhanika materialov. Vol. 1, 90–94.
Pavan A. (1979). Contribution aux calculs d’organes d’ensembles mécaniques par rapport à la limite de fatigue. Explication des principaux facteurs, Thèse de Doctorat es Sciences. Université de Reims, Reims.
Brand A. and Sutterlin R. (1980). Calcul des pièces à la fatigue — Méthode du gradient. Publications CETIM, Senlis, France.
Flavenot J. F. and Skalli N. (1983). L’épaisseur de couche critique ou une nouvelle approche du calcul en fatigue des structures soumises à des sollicitations multiaxiales. Mécanique, Matériaux, Electricité. No. 397, 15–25.
Munday E. G. and Mitchell L. D. (1989). The maximum-distortion-energy ellipse as a biaxial fatigue criterion in view of gradient effects. Experimental Mechanics, 12–15.
Sawert W. (1943). Verhalten der Baustähle bei wechselnder mehrachsiger Beanspruchung. Z.V.D.I. Vol. 87, 609–615.
Papadopoulos I. V. and Panoskaltsis V. P. (1994). Gradient dependent multiaxial high-cycle fatigue criterion. In Multiaxial Fatigue and Design, ESIS Publication 21 (A. Pineau, G. Cailletaud and T. C. Lindley Eds). Mechanical Engineering Publications, London, 349–364.
Findley W. N., Coleman J. J. and Hanley B. C. (1956). Theory for combined bending and torsion fatigue with data for SAE 4340 steel. In Proc. Int. Conf. on Fatigue of Metals, London-New York. Instistution of Mechanical Engineers, London, 150–157.
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Panoskaltsis, V.P. (1999). Gradient Dependent Fatigue Limit Criterion. In: Van, K.D., Papadopoulos, I.V. (eds) High-Cycle Metal Fatigue. International Centre for Mechanical Sciences, vol 392. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2474-1_6
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DOI: https://doi.org/10.1007/978-3-7091-2474-1_6
Publisher Name: Springer, Vienna
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