A review of multiaxial fatigue criteria for random variable amplitude loads

Nowadays, the estimation of fatigue life under multiaxial random loading is still an extremely complex task. In this paper, a comprehensive review of the multiaxial random fatigue criteria available in the literature is presented. Such a review is mainly devoted to stress-based criteria for the evaluation of fatigue life in high-cycle regime. Time and frequency domain approaches are examined. The focus of this paper is related to uniform stress/strain distribution, but also the effect of stress/strain gradient is tangentially addressed. More than 200 references are cited.