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.
Highlights
Papuga and Halama [3] showed recently, how involvement of the mean shear stress parameter in a multiaxial fatigue strength estimation criterion can affect its prediction quality, including a substantially better response of the method even for purely axial load cases
This is a method of the critical plane type, and its revision from the last PCR version [2] concerned the implementation of the mean shear stress effect, to the extension of original PIR to PIN
Comparison of the PCN method with the new PIN results in the conclusion, that PIN has a very similar range of results, but the scatter of results manifested in the parameter of the standard deviation is clearly worse
Summary
Papuga and Halama [3] showed recently, how involvement of the mean shear stress parameter in a multiaxial fatigue strength estimation criterion can affect its prediction quality, including a substantially better response of the method even for purely axial load cases. This proof concerned the PCN criterion, which belongs among critical plane criteria maximizing the value of the damage parameter evaluated on each plane. A question is raised and solved at the second part of the paper, if the additional material parameters involved in the multiaxial criteria give these criteria ability to cope with the mean stresses in a better way
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