Page 168 - Carbon Nanotube Fibres and Yarns
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Carbon nanotube yarn structures and properties   159


              including the hollow center of the CNT. Its engineering strength, i.e., when
              the hollowness is excluded, is lower. Some nanotubes can collapse into
                ribbons and their engineering strength can approach the ultimate (intrin-
              sic) strength as the void in the center diminishes. So far there has not been
              an experimentally established direct relationship between the strength of
              continuously made CNT yarn and the strength of its constituent nanotubes.
                 Hill et  al.  [52] measured the strength of CNT bundles taken from
              3-mm-high CNT forests. The gauge length for the bundle test was 1 mm
              and the two ends of the bundle were secured using epoxy resin. It was
              estimated that 50% of the nanotubes in the bundle was continuous across
              the gauge length. The number of CNTs in the reported bundle test was in
              the order of a million, which is the same order of magnitude for a typical
              CNT yarn. The measured bundle strength had a high reliance on bundle
              size and method of densification. The highest specific strength and modulus
              were 1.8 and 88.7 N/tex, respectively, achieved on toluene-densified CNT
              bundles [52]. The measured bundle strength was thus one or two orders of
              magnitude lower than the values measured on single nanotubes reported by
              other researchers. Unfortunately, the tensile properties of single nanotubes
              used in Hill’s bundle test were not measured, making it impossible to estab-
              lish a relationship between single nanotube strength and bundle strength.
              The reported CNT bundle strength of 1.8 N/tex is about twice the tenac-
              ity of typical CNT yarns reported by many researchers. This bundle-to-yarn
              strength ratio is similar to that between cotton fiber bundle and spun yarn
              from the textile industry [51].

              7.2.3.2  Nanotube length
              Several control experiments pointed to an increasing trend of yarn strength
              when longer CNTs were used. For example, Zhang et al. [13] reported that
              when CNT length was increased from 0.3 to 0.65 mm, the yarn strength
              improved from 0.3 to 0.85 GPa. When the CNT length was further in-
              creased to 1 mm, the average yarn strength increased to 1.9 GPa [53]. Fang
              et al. [41] grew CNT forests to a series of heights between 0.15 and 0.4 mm
              to  spin  yarns of  similar  diameter  (5–7 μm)  and surface  twist  angle  (17–
              21 degrees). The yarn strength was found to increase from 310 MPa for the
              shortest CNTs (0.15 mm) to about 420 MPa for the longest (0.4 mm). A less
              consistent increasing trend of yarn strength with increasing CNT length
              from 0.8 to 2.1 mm was reported by Ghemes et al. [54]. A substantially
              low yarn strength at 1.4 mm was attributed to a thicker yarn sample. This
              generally positive influence of nanotube length on yarn strength shown
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