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Mechanics modeling of carbon nanotube yarns   193


              the collapsed structure after the pressure was removed. For example, the
              16 × (23,0) bundle (a simulation box containing 16 CNTs) can be fully
              collapsed at 0.05 GPa, and the 16 × RC bundle at 0.2 GPa. MD simulations
              showed that the sliding friction between neighboring CNTs could increase
              by a factor of 1.5–4 from the un-collapsed to the collapsed configurations,
              as illustrated in  Fig.  8.5. For the 16 × (23,0) bundle, the commensurate
              intertube contacts resulted in a high depinning force (static friction) of
              ≈0.1 meV/Å per carbon atom. After being collapsed, the intertube friction
              increased up to 0.4–0.45 meV/Å. In the RC case, although the friction
              force is two orders of magnitude smaller, the sliding friction force could
              still increase by more than 50% from 0.0017 to 0.0026 meV/Å. The tube
              collapse induced a change of the intertube structure. A calculation of the
              partial pair distribution function showed that the friction enhancement was
              ascribable to the graphite-like stacking of CNT walls.
                 In order to enhance the intertube friction, polymer molecules are often
              introduced between CNTs. These polymers include epoxy [97], polyim-
              ide [31], bismaleimide [32,34], polyethylenimine conjugated with catechol
              groups  [98], poly-dopamine  [99], and the most widely used poly(vinyl
              alcohol) (PVA) [3,7,30,32,97,100]. The introduction of these long-chain


























              Fig. 8.5  For a commensurate CNT bundles, the sliding friction increased from ≈0.1
              to  ≈0.4 meV/Å after the structural collapse. Although the friction force is small,
              <0.002 meV/Å, for a bundle containing random chiralities, the friction also increased
              by a factor of ≈1.5 after the collapse. (Reproduced with permission from X. Zhang, Q. Li,
              Enhancement of friction between carbon nanotubes: an efficient strategy to strengthen
              fibres. ACS Nano 4 (1) (2010) 312–316.)
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