Remarks on multiaxial fatigue limit criteria based on prismatic hulls and ellipsoids |
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Authors: | FC Castro JA Araújo EN Mamiya N Zouain |
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Affiliation: | aMechanical Engineering Department, UNB – Federal University of Brasília, 70910-00 Brasília, DF, Brazil;bMechanical Engineering Department, COPPE, EE/UFRJ – Federal University of Rio de Janeiro, 21945-970 Rio de Janeiro, Brazil |
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Abstract: | This paper focuses on a class of multiaxial fatigue limit criteria where the equivalent shear stress amplitude is calculated by means of a scalar measure associated with a hypersurface enclosing the deviatoric stress history at a material point. We consider two hypersurfaces proposed by the authors, namely the maximum prismatic hull and the minimum Frobenius norm ellipsoid. Previous results obtained with elliptic and non-elliptic stress paths strongly suggested that such measures might always be the same. In this work we consider two counter-examples which show that these approaches are distinct. Fatigue limit criteria based on the linear combination of these measures with the maximum hydrostatic stress were applied to experimental data including: axial–torsional, biaxial tension and plane stress tests performed under harmonic and non-harmonic, synchronous and asynchronous waveforms. The predictions for both criteria fell within a 15% scatter band. |
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Keywords: | High-cycle fatigue Multiaxial fatigue Fatigue limit Non-proportional loading |
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