Statistical Analysis of the Tensile Strength of Carbon Nanotubes
Two available strength data sets of single-walled and multi-walled carbon nanotubes are analysed, and the effects of sample sizes on their tensile strengths are investigated. A minimum information criterion is applied to determine the optimal strength distribution. The results show that, in contrast to a two-parameter Weibull distribution, lognormal distribution seems to be a more suitable choice. A simple extrapolation of classical Weibull statistics to nanoscales may result in overestimation on the tensile strength of carbon nanotubes.
Xiaozhi Hu, Brent Fillery, Tarek Qasim and Kai Duan
C. S. Lu "Statistical Analysis of the Tensile Strength of Carbon Nanotubes", Advanced Materials Research, Vols. 41-42, pp. 27-32, 2008