Abstract
We develop an atomistic-based continuum theory for carbon nanotubes by incorporating the interatomic potential directly into the continuum analysis through the constitutive model. The theory accounts for the effect of carbon nanotube chirality, and is applied to study fracture nucleation in carbon nanotubes by modeling it as a bifurcation problem. The results agree well with the molecular dynamics simulations.
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Jiang, H., Huang, Y., Zhang, P., Hwang, K.C. (2006). Fracture Nucleation in Single-Wall Carbon Nanotubes. In: Chuang, T.J., Anderson, P.M., Wu, M.K., Hsieh, S. (eds) Nanomechanics of Materials and Structures. Springer, Dordrecht. https://doi.org/10.1007/1-4020-3951-4_8
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DOI: https://doi.org/10.1007/1-4020-3951-4_8
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-3950-8
Online ISBN: 978-1-4020-3951-5
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