C/C复合材料的压缩强度分布与可靠性评估

针对碳/碳（C/C）复合材料力学性能离散的特点，开展穿刺C/C复合材料压缩强度分布与可靠性评估研究。首先通过残差分析确定用于强度分布分析的样本数量，然后通过线性回归分析获得两参数Weibull分布、正态分布及对数正态分布模型的参数，进而探究穿刺C/C复合材料的压缩强度分布规律，最后通过Kolmogorov-Smirnov检验、Anderson-Darling检验和极大似然方法对3种强度分布模型进行拟合优度检验。结果表明：用于获得穿刺C/C复合材料压缩强度分布的最少样本数量应不少于30；Weibull分布、正态分布和对数正态分布模型均可表征穿刺C/C复合材料的压缩强度分布，其中Weibull分布的拟合优度最高；基于强度分布模型可得到不同可靠度所对应的穿刺C/C复合材料的设计强度参考值。

Compression strength distribution and reliability assessment of C/C composites

Considering the discrete characteristics of Carbon/Carbon (C/C) composites, the compression strength distribution and reliability assessment of punctured C/C composites is studied. Firstly, the number of samples used for intensity distribution analysis is determined by residual analysis. Then the parameters of the two-parameter Weibull distribution, normal distribution, and lognormal distribution models are obtained by linear regression analysis. And then the distribution of compressive strength of punctured C/C composites is studied. Finally, the Kolmogorov-Smirnov test, the Anderson-Darling test, and the maximum likelihood method are used to test the goodness of the fit of the three distribution models. The results show that the minimum number of samples used to obtain the compressive strength distribution of punctured C/C composites should be no less than 30 and the Weibull distribution, normal distribution, and lognormal distribution models can all characterize the distribution of compressive strength of punctured C/C composites. The Weibull distribution has the highest goodness of fit. And based on the intensity distribution model, the reference values of designing punctured C/C composites with different reliabilities can be evaluated.