Nanoscale Weibull Statistics

TL;DR

This paper introduces Nanoscale Weibull Statistics, a modified version of classical Weibull analysis tailored for nanoscale materials like carbon nanotubes, effectively capturing their fracture behavior and defect characteristics.

Contribution

It develops a new statistical approach specifically designed for nanoscale structures, addressing limitations of classical Weibull statistics in this regime.

Findings

Nanoscale Weibull modulus around 3 for nanotubes.

Effective modeling of defect-free and quantized crack propagation.

Comparison shows improved accuracy over classical Weibull statistics.

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.