1989 年 38 巻 433 号 p. 1169-1175
The continuous distribution of dislocations was used to model the slip deformation ahead of the tip of a small fatigue crack interacting with grain boundaries. The propagation rate of a fatigue crack was assumed to be controlled by the crack-tip opening displacement. A Monte Carlo simulation was conducted for fatigue crack growth by giving the grain size and the frictional stress of each grain as random variables following the two-parameter Weibull distribution. The distributions of the crack propagation rate and the crack propagation life were computed as functions of the crack length and the stress level as well as of the grain size. The results of simulation agreed at least qualitatively with the experimental results obtained for aluminum alloy 2024-T3.