A probability model for the strength of carbon nanotubes | Zendy

Frank F. Xu | Zendy; Yuxin Jie | Zendy; Irene J. Beyerlein | Zendy

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A probability model for the strength of carbon nanotubes

Author(s) -

Frank F. Xu,

Yuxin Jie,

Irene J. Beyerlein

Publication year - 2014

Publication title -

aip advances

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.421

H-Index - 58

ISSN - 2158-3226

DOI - 10.1063/1.4890214

Subject(s) - weibull distribution , carbon nanotube , log normal distribution , brittleness , statistical physics , scaling , strength of materials , probability distribution , probability density function , materials science , weibull modulus , mathematics , statistics , composite material , physics , geometry

A longstanding controversy exists on the form of the probability distribution for the strength of carbon nanotubes: is it Weibull, lognormal, or something else? We present a theory for CNT strength through integration of weakest link scaling, flaw statistics, and brittle fracture. The probability distribution that arises exhibits multiple regimes, each of which takes the form of a Weibull distribution. Our model not only gives a possible resolution to the debate but provides a way to attain reliable estimates of CNT strength for materials design from practical-sized (non-asymptotic) data sets of CNT strength. Last, the model offers an explanation for the severe underestimation of CNT strength from strength tests of CNT bundles

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