Nanoscale Weibull Statistics
Materials Science
2009-11-11 v1
Abstract
In this paper a modification of the classical Weibull Statistics is developed for nanoscale applications. It is called Nanoscale Weibull Statistics. A comparison between Nanoscale and classical Weibull Statistics applied to experimental results on fracture strength of carbon nanotubes clearly shows the effectiveness of the proposed modification. A Weibull's modulus around 3 is, for the first time, deduced for nanotubes. The approach can treat (also) a small number of structural defects, as required for nearly defect free structures (e.g., nanotubes) as well as a quantized crack propagation (e.g., as a consequence of the discrete nature of matter), allowing to remove the paradoxes caused by the presence of stress-intensifications.
Keywords
Cite
@article{arxiv.cond-mat/0504518,
title = {Nanoscale Weibull Statistics},
author = {N. Pugno and R. Ruoff},
journal= {arXiv preprint arXiv:cond-mat/0504518},
year = {2009}
}