International Journal of Fracture

, Volume 141, Issue 1, pp 313–323

New quantized failure criteria: application to nanotubes and nanowires

  • Nicola Pugno
Original Article

DOI: 10.1007/s10704-006-0082-7

Cite this article as:
Pugno, N. Int J Fract (2006) 141: 313. doi:10.1007/s10704-006-0082-7


In this paper new quantized failure criteria are proposed, also for nanoscale applications. The main theories in the context of the strength of solids, i.e., of brittle fracture, dynamic fracture, fatigue and Weibull Statistics are reconsidered according to the proposed “quantization rules”. The “corresponding principle” is verified and thus the classical theories are found to be the limit cases of the quantized counterparts. As an example, our treatment is applied to very recent experimental results on carbon or WS2 nanotubes and to futurist ultra-nanocrystalline diamond nanowires, for which the tensile, bending and ideal strength are estimated.


Quantized fracture mechanicsSize-effectsNanoscale strengthNanotubesNanowiresUltra nano crystalline diamond

Copyright information

© Springer Science+Business Media B.V. 2006

Authors and Affiliations

  • Nicola Pugno
    • 1
  1. 1.Department of Structural EngineeringPolitecnico di TorinoTorinoItaly