Nonlinear mechanical response and rippling of thick multi-walled carbon nanotubes

Author (s): Arroyo, M., Belytschko,T.
Journal: Physical Review Letters

Volume: 91, Issue 21
Date: 2003

The measured drop of the effective bending stiffness of multiwalled carbon nanotubes (MWCNTs) with increasing diameter is investigated by a generalized local quasi continuum method. The previous hypothesis that this reduction is due to a rippling mode is confirmed by the calculations. The observed ripples result from a complex three-dimensional deformation similar to the Yoshimura buckling pattern. It is found that thick MWCNTs exhibit a well-defined nonlinear moment-curvature relation, even for small deformations, governed by the interplay of strain energy relaxation and intertube interactions. Rippling deformations are also predicted for MWCNTs subject to torsion, resulting in an effective
torsional modulus much smaller than that predicted by linear elasticity.



  title = {Nonlinear Mechanical Response and Rippling of Thick Multiwalled Carbon Nanotubes},
  author = {Arroyo, M. and Belytschko, T.},
  journal = {Phys. Rev. Lett.},
  volume = {91},
  issue = {21},
  pages = {215505},
  numpages = {4},
  year = {2003},
  month = {Nov},
  publisher = {American Physical Society},
  doi = {10.1103/PhysRevLett.91.215505},
  url = {}