Estimation of the Weibull parameters of carbon fibers using the method of moments

Weibull analysis is an effective method for examining the strength distribution of carbon fibers. However, prior studies have reported only the average strength and standard deviation (SD), which precludes the determination of the Weibull distribution. To address this limitation, this study proposes a method for estimating the Weibull parameters from average strength and SD data using the method of moments. The number of defects and their associated errors were derived from the tensile strength (mean±SD), and their validity was assessed. The results showed that the method of moments can be used to estimate the approximate number of defects and their errors from the tensile strength data of the fibers. The method allows the estimation of Weibull parameters from previously reported results, and may be beneficial for research and development that relies on existing literature. The number of tensile tests was also determined from these analyses.