Novel statistical analysis method for determining shear strength of C/C composite pin

Abstract

The discreteness of strength seriously restricts the wider use of Carbon/Carbon (C/C) composites. The strength of C/C composites is studied by using statistical analysis methods. Here, a novel statistical analysis method named B-distribution is proposed to examine the shear strength of C/C composite pins. The method is implemented using a Bayesian inference scheme with a Markov Chain Monte Carlo sampler. Then, the shear-strength distributions of the C/C composites in different directions are calculated by the B-distribution and four traditional statistical models (three-parameter Weibull, two-parameter Weibull, log-normal, and gamma). These are critically analysed by a Kolmogorov-Smirnov (K–S) test and a maximum likelihood test. Next, the effect of the loading direction on the shear strength of C/C composite pin is statistically analysed. The results show that the B-distribution is the most appropriate statistical distribution for the experimental data. Additionally, it is found that the high reliability shear strengths of C/C composite pin in the 30° and 45° directions are relatively higher, and the high reliability shear strengths of C/C composite pin are relatively lower in the 75° and 90° directions.