The fatigue crack propagation rate is investigated on the basis of a dislocation multiplication model which was used previously in evaluation of the fatigue life up to crack initiation. The expression for fatigue crack propagation rate is derived from a two-dimensional version of a stochastic model proposed by Tsurui and one of the authors (A.I.), and a distribution function of the life of material elements in this expression is calculated on the dislocation multiplication model. On these theoretical bases, it is shown that the fatigue crack propagation rate is proportional to some power of the stress intensity range. Our results are compared with the experimental data.

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