Modeling of Random Fatigue Crack Growth Lifetime
A statistical model is proposed for the analysis of fatigue crack growth, based on the theory of fracture mechanics and stochastic process. The fatigue growth process is approximated as a diffusive Markov process. The associated backward Fokker-Plank equation and boundary conditions are written, and the distribution of crack growth time under a given crack size is obtained by using an Eigenfunction method. The sought distribution is expressed in the form of a convergent infinite series. Two examples are presented to illustrate the application of the method. The predicted results seem to agree with the experimental data.
KeywordsStress Intensity Factor Crack Growth Rate Fatigue Crack Growth Crack Size Reliability Parameter
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