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The present paper aims at discussing the evolution of a multiaxial high-cycle fatigue criterion,known as the C-S criterion, based on the critical plane approach and initially proposed by the first two authors.By introducing appropriate devises and changes to the original formulation, this criterion is able to evaluate thestructural integrity of smooth and notched metallic components, subjected to different fatigue loadings:multiaxial in- and out-of-phase synchronous cyclic loading, asynchronous cyclic loading, random loading. Theresults derived by applying it are compared with the experimental data collected from the relevant literature