Mean shear stress effect built into the multiaxial fatigue strength estimation method of an integral type

Abstract

The effect of mean shear stress is implemented into the PIR criterion [1][2]. Results of the new solution are only slightly worse than the similarly improved PCN criterion described in [3]. Five methods of the integral type known to the author (PIR + new PIN, the Fogue method, the Liu & Zenner method, the Papadopoulos method) are evaluated here on a large set of experimental data (286 items). Because the integral solution is easier to handle, the simplified reduced formulas of each criterion for the case of purely axial loading are presented. Their relations each to other, and also to other common uniaxial mean stress effect methods are then studied and small numerical benchmark convening this load condition is prepared. 1

A novel predictive model for multiaxial fatigue in carburized bevel gears

“…Two prominent and highly accurate 53 integral multiaxial fatigue criteria are the Liu and Zenner 27 (LZ) and Papuga's integral method (PIN) 28 . They integrate the stress parameters obtained on individual evaluated planes over all possible plane orientations to the equivalent stress and compare it to the uniaxial fatigue strength f −1 .…”

“…The DV, 20,53 Sines (SI), 25 Crossland (CR), 26 LZ, 27 PIN, 28 Hertter (HE), 7 and BO criteria were tested against an experimental data set, composed of 23 multiaxial fatigue tests performed on various soft and mild steels 21–24 . Of the results in previous studies, 21–24 only those under compressive or tensile, static, normal stresses, and alternating shear stresses were analyzed.…”

“…Subsequently, its accuracy is assessed by comparing it to a fatigue data set, composed of 23 test results under static, compressive and tensile normal stresses, and oscillating shear stresses 21–24 . It is benchmarked against these multiaxial fatigue criteria: the Sines criterion, 25 the Crossland criterion, 26 the Liu and Zenner criterion, 27 Papuga's integral criterion, 28 and the Hertter criterion 7 . A novel multiaxial fatigue criterion is derived and included in the comparison and applied to several gear sets that failed with varying fatigue failure modes.…”

Validating the Methods to Process the Stress Path in Multiaxial High-Cycle Fatigue Criteria

“…The Papuga PIN criterion (acronym for Papuga Integral criterion in the Newer version) [ 23 ]: and the Liu and Zenner method (LZ method, [ 24 ] or [ 21 ]): represent the integral multiaxial criteria. The last type of multiaxial criteria is the solution using the Ilyushin deviatoric space.…”

Various parameters of the multiaxial variable amplitude loading and their effect on fatigue life and fatigue life computation

“…The evaluation proceeded both in the same sensitivity analyses 10 as described above and also on the set of applicable experimental data derived from the FatLim data set 49 . Only six multiaxial fatigue strength methods were evaluated 61 —the Papuga PCN criterion, 5 the Findley criterion, 29 and the Matake criterion 35 to represent the critical plane models; the Papuga PIN criterion 7 and Liu and Zenner criterion 38 to represent integral criteria; and the Crossland criterion 43 for the methods based on stress invariants evaluated in the Illyushin deviatoric space. Experimental data used for the validation were free of any induced mean stresses to secure that only the phase shift effect is concerned.…”