Analogies between spectral methods and multiaxial criteria in fatigue damage evaluation

► We investigated analogies existing between multiaxial and uniaxial spectral methods. ► The PSD of uniaxial stochastic process is split into infinitesimal contributions. ► The damage sum of PbP method is applied to uniaxial stochastic process. ► A mathematical formalization of the so-called “single moment” method is then given. ► A new framework is then proposed to compute damage in uniaxial stochastic processes