Abstract
In this paper, three reliability methods are presented to solve general fatigue crack growth problems: the first order approximation method (FAM), the Lagrange multiplier formulation (LMF) and a Monte Carlo Simulation (MCS) with exact sampling technique. With the help of the exact sampling technique used in MCS, we are able to determine the extremely low probabilities of failure efficiently and with high accuracy. A comparison of the three methods shows that the LMF is the most efficient method to solve the fatigue crack growth reliability problem. It is also shown that the crack growth direction law plays an important role in the curvilinear crack propagation problem.
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