A strain-based multiaxial fatigue criterion previously proposed for fatigue assessment of unnotched specimensis here extended to the case of notched ones. Such a criterion is a reformulation of the stress-basedmultiaxial High-Cycle Fatigue (HCF) criterion by Carpinteri and Spagnoli. The extension herein presentedconsiders as the critical point, where to perform the fatigue assessment, the material point located at acertain distance from the notch tip, depending such a distance on both the biaxiality ratio (defined asthe ratio between the applied shear stress amplitude and the normal stress amplitude) and the controlvolume radii R1 (related to Mode I) and R3 (related to Mode III). Some multiaxial fatigue data relatedto specimens made of titanium grade 5 alloy (Ti–6Al–4V) and weakened by sharp notches are examinedto validate the extended criterion.
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