Some common fatigue criteria applicable to generic plane stress states under sinusoidal loading are reviewed with emphasis to those based on the so-called critical plane approach. Then a multiaxial high-cycle fatigue criterion recently proposed by the authors and based on the critical plane approach is discussed. Such a criterion can be applied to the case of sinusoidal plane stress states, and an extension to random loading is presented. According to this criterion, the critical plane orientation is correlated with the averaged principal stress directions deduced through the weight function method. Then the fatigue failure assessment is performed by considering a nonlinear combination of the maximum normal stress and the shear stress amplitude acting on the critical plane. Finally, relevant experimental tests on brittle (hard) metals, related to sinusoidal as well as random plane stress states, are analysed by applying the proposed criterion, together with other common critical plane criteria.
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