Abstract
A study has been made of the influence of a superimposed mean shear stress on the capability of some multiaxial high cycle fatigue criteria to predicting fatigue behavior of 42CrMo4 and 34Cr4 alloy steels. Five selected critical plane-based criteria, namely Matake (M), Susmel & Lazzarin (S&L), Findley (F), Carpinteri & Spagnoli (C&S) and Liu & Mahadevan (L&M), were applied to a number of published experimental fatigue resistance limit tests, involving synchronous sinusoidal in-phase and out-of-phase bending and torsion. Applying to the same loading conditions a mesoscopic scale-based criterion proposed by Papadopoulos (P), one could verify that predictive capability of such an approach is almost invariably superior to those associated with the M, S&L, F, C&S and L&M models. As the Papadopoulos criterion is independent of mean shear stress, it seems appropriate to conclude that the inclusion of such a stress as loading parameter in the critical plane-based models does, in fact, exert a negative influence on their predictive capability. Finally, it is worth mentioning that, except for the Matake, S&L and L&M criteria, the other critical plane-based criteria exhibit a dependence of the fatigue resistance in pure torsion with respect to a superimposed mean shear stress, in disagreement with well-established experimental observations.
Highlights
Over many decades, a large number of multiaxial high cycle fatigue damage criteria have been introduced aiming at predicting fatigue failure of metallic materials under time-varying multiaxial stresses
The values of the error index I obtained upon applying the Matake, Findley, Susmel & Lazzarin (S&L), Carpinteri & Spagnoli (C&S), modified C&S and Liu & Mahadevan (L&M)
In regard to the Papadopoulos criterion, the I values resulting from its application to the loading conditions in question were found to vary between −15% and 6% (Figures 7 and 8), indicating predictive capability that is far more superior to that associated with applying the C&S and L&M models
Summary
A large number of multiaxial high cycle fatigue damage criteria have been introduced aiming at predicting fatigue failure of metallic materials under time-varying multiaxial stresses. These criteria can be divided into three groups: stress-based, strain-based and energy-based models[1]. The present work was initiated with the purpose of evaluating the influence of mean shear stress on the capability of a number of critical plane-based criteria to predict high cycle fatigue behavior of metallic materials under combined bending and torsion.
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