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Accepted for publication in Physical Review Letters Size-dependent nonlinear elastic scaling of multiwalled carbon nanotubes
 

Summary: Accepted for publication in Physical Review Letters
Size-dependent nonlinear elastic scaling of multiwalled carbon nanotubes
Irene Arias and Marino Arroyo
LaC`aN, Dept. Applied Mathematics 3, Universitat Polit`ecnica de Catalunya, Barcelona 08034, Spain
(Dated: January 19, 2008)
We characterize through large-scale simulations the nonlinear elastic response of multi-walled
carbon nanotubes (MWNCNTs) in torsion and bending. We identify a unified law consisting of two
distinct power-law regimes in the energy-deformation relation. This law encapsulates the complex
mechanics of rippling and is described in terms of elastic constants, a critical length-scale and an
anharmonic energy-deformation exponent. The mechanical response of MWCNTs is found to be
strongly size-dependent, in that the critical strain beyond which they behave nonlinearly scales as the
inverse of their diameter. These predictions are consistent with available experimental observations.
PACS numbers: 62.25.+g, 02.70.-c, 46.32.+x, 61.46.Fg
Due to a unique combination of dimensions, geome-
try, mechanical, electronic and chemical properties, car-
bon nanotubes appear as an attractive component in
nanoscale devices and nano-structured materials. Me-
chanically, the graphene wall of nanotubes is arguably
the stiffest and strongest material in Nature. Under
large tensile stress, CNTs fail irreversibly through plas-

  

Source: Arias, Irene - Departament de Matemàtica Aplicada III, Universitat Politècnica de Catalunya

 

Collections: Engineering; Materials Science