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.
CitationArias, I.; Arroyo, M. Size dependent nonlinear elastic scaling of multiwalled carbon nanotubes. "Physical review letters", Febrer 2008, vol. 100, núm. 8, p. 085503-1-085503-4.
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