In the practical structures we can hardly disregard the effects of size and shape of their components as well as possible cracks on the fatigue crack propagation behaviors. Without assessing these effects properly, we can hardly attain the desired level of reliability imposed on those structures.
In this respect, we have constructed a stochastic crack growth model to reflect the engineering reality, and have successfully derived, in a closed form, the fatigue crack propagation life distribution under random loading of the material with random propagation resistance. Further, as a numerical example, we have computed and discussed the residual life distribution of the material with center and single edge cracks subjected to constant amplitude stressing. Finally, we have proved the wide applicability of the proposed model.