Probabilistic High Cycle Multiaxial Fatigue Analysis Using Finite Element Method

摘要

Inhomogeneous materials and manufacturing tolerances occurred in the modern manufacturing and material processing sectors frequently lead to premature failures. During the operation of the components, multiaxial loadings and stresses suffered damage of the structural integrity severely. Therefore, this paper discusses the utilisations of several high cycle multiaxial fatigue criteria in the probabilistic design and analysis. The variations of material and geometrical properties are taken into account in order to study the probability of failure. High cycle multiaxial fatigue criteria are then used to determine the equivalent stress and the deflection. The implementations of these criteria were realised using Ansys Parametric Design Language (APDL) provided in the commercial software ANSYS. From the probabilistic results, von Mises criterion underestimated the probability of failure especially for displacement cases while high cycle multiaxial fatigue criteria, specifically Dang Van and Crossland criteria, are more sensitive than other criteria to predict the most significant random variables that affect the structural integrity. Therefore, the utilisation of high cycle multiaxial fatigue criteria in probabilistic analysis is of paramount importance to ensure the safety and reliability when compared to the traditional von Mises stress criteria.