Fatigue assessment of notched specimens by means of a critical plane-based criterion and energy concepts

Abstract A strain-based multiaxial fatigue criterion previously proposed for fatigue assessment of unnotched specimens is here extended to the case of notched ones. Such a criterion is a reformulation of the stress-based multiaxial High-Cycle Fatigue (HCF) criterion by Carpinteri and Spagnoli. The extension herein presented considers as the critical point, where to perform the fatigue assessment, the material point located at a certain distance from the notch tip, depending such a distance on both the biaxiality ratio (defined as the ratio between the applied shear stress amplitude and the normal stress amplitude) and the control volume radii R 1 (related to Mode I) and R 3 (related to Mode III). Some multiaxial fatigue data related to specimens made of titanium grade 5 alloy (Ti–6Al–4V) and weakened by sharp notches are examined to validate the extended criterion.

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