ファインセラミックスの破壊強度分布のモンテカルロ・シミュレーションによる評価

概要

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Monte Carlo simulation method was used to evaluate the theoretical distributions of the estimates of Weibull(shape) and scale parameters for various sample sizes. It was found that the theoretical distributions of the estimates of Weibull and scale parameters are well approximated by log-normal distributions, and the scatter and bias of each distribution decrease with the increase of sample size. The comparison of the distribution of Weibull parameter estimated by experiments with the theoretical distribution indicates that the scatter of the experimentally obtained Weibull parameter results from the statistical nature of the estimates depending on the sample size and the difference of test conditions is not a major factor for the scatter. And it was also revealed that the distribution of scale parameter obtained by experiments does not agree with the theoretical one obtained by Monte Carlo simulation. This means that the scale parameter or the intrinsic strength of sintered silicon nitride and sintered silicon carbide depends on the fabrication and testing techniques.
社団法人日本材料学会の論文
1994-01-15