Two-dimensional statistical Miner's rule in fatigue reliability

The function of constant amplitude Median Sa-Sm-N¯c surface is established. And the two-dimensional statistical Miner's rule is proposed for reliability based prediction of fatigue life under variable amplitude loading. Then Wirsching's model is restudied, and it is found that Wirsching's model is not of self-consistency. Therefore the modification of Wirschign's model is performed based on statistical Miner's rule. Finally, an example of application is presented, showing that the two-dimensional statistical Miner's rule is very convenient and feasible in fatigue reliability analysis for engineering structures.