Abstract

A new stochastic crack growth model is proposed, in which the propagation resistance appearing in the empirically obtained crack growth law is mathematically modeled as a random field. First, a mathematical methodology to obtain the solution of the randomized crack growth equation is discussed. Next, an approximate method to obtain a probability distribution of the residual life is proposed. Finally, the method is applied to the random propagation problem of an edge crack under uniform tensile stressing, where numerical evaluation of the residual life distribution in this case is performed.

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