Reliability assessment of structures based upon probabilistic fracture mechanics

Abstract The stochastic fatigue crack growth model (termed the Tsurui-Ishikawa model) based upon the Markov approximation method introducing the notion of death point has been proposed, and a great deal of its practical usefulness in the reliability assessment of structures has been demonstrated for those cases where the fatigue crack propagation process plays a crucial role toward their failure. By performing the reliability analysis, based upon the model, in consideration of uncertainties of both initial crack length and their number, the effect of such uncertainties has been clarified on the reliability degradation of a structural component. This result is of much interest from a practical viewpoint because it gives a guideline to determine the safe life (design life or inspection interval) to assure the prescribed level of reliability for random loadings with a variety of correlation times. Further, studies have been made on which parameter is the most significant according to the problem through parameter sensitivity study. With the aid of the proposed model, reliability assurance or reliability-based design can be performed properly against fatigue failure of structures subjected to random loading.

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