Abstract
In the development of conductive threads for wearable electronics, nonconductive cotton fibres and conductive stainless steel fibres are mixed to produce composite yarns at a wide range of stainless steel fibre weight fractions. The electrical resistance of the composite yarns is measured at different probe span lengths, ranging from 0.5 to 10 L ss (L ss = 50 mm is the average length of stainless steel fibres). The percolation threshold and critical exponent are determined for each span length. The critical exponent followed a decreasing trend from 1.87 to 1.17 as the span length was increased. When the conductive fibre loading was expressed in terms of conductive fibre volume fraction, the percolation critical exponent showed a similar trend of change with probe span length. Such a dependence of percolation critical exponent on resistance probe span length has not been previously reported for conductive particle-filled polymer composites, probably because the probe span length used in resistance measurement is orders of magnitude larger than the dimension of the conductive fillers in the composites.
Similar content being viewed by others
References
A.V. Kyrylyuk, M.C. Hermant, T. Schilling, B. Klumperman, C.E. Koning, P. van der Schoot, Nat. Nanotechnol. 6(6), 364 (2011)
A. Behnam, J. Guo, A. Ural, J. Appl. Phys. 102(4), 044313 (2007)
D. Fangming, J.E. Fischer, K.I. Winey, Phys. Rev. B 72(12), 121404 (2005)
W. Bauhofer, J.Z. Kovacs, Compos. Sci. Technol. 69(10), 1486 (2009)
R.M. Mutiso, K.I. Winey, Prog. Polym. Sci. 40, 63 (2015)
S.I. White, R.M. Mutiso, P.M. Vora, D. Jahnke, S. Hsu, J.M. Kikkawa, J. Li, J.E. Fischer, K.I. Winey, Adv. Funct. Mater. 20(16), 2709 (2010)
R.H. Otten, P. van der Schoot, J. Chem. Phys. 134(9), 094902 (2011)
R.H.J. Otten, P. van der Schoot, Phys. Rev. Lett. 103(22), 225704 (2009)
D.R. Cox, J. Text. Inst. Trans. 45(2), T113 (1954)
G. Cho, K. Jeong, M. Paik, Y. Kwun, M. Sung, IEEE Sens. J. 11(12), 3183 (2011)
R. Wijesiriwardana, IEEE Sens. J. 6(3), 571 (2006)
C.-T. Huang, C.-F. Tang, M.-C. Lee, S.-H. Chang, Sens. Actuators, A 148(1), 10 (2008)
K.B. Cheng, T.W. Cheng, K.C. Lee, T.H. Ueng, W.H. Hsing, Compos. A Appl. Sci. Manuf. 34(10), 971 (2003)
P.C. Patel, D.A. Vasavada, H.R. Mankodi, in 2012 IEEE International Conference on Power System Technology (POWERCON) (IEEE, Auckland, 2012), p. 1
V. Šafářová, J. Militký, J. Mater. Sci. Eng. B 2(2), 197 (2012)
M. Miao, Carbon 49(12), 3755 (2011)
B.E. Kilbride, J.N. Coleman, J. Fraysse, P. Fournet, M. Cadek, A. Drury, S. Hutzler, S. Roth, W.J. Blau, J. Appl. Phys. 92(7), 4024 (2002)
J.G. Martindale, J. Text. Inst. Trans. 36, 35 (1945)
Acknowledgments
We would like to thank Phil Henry and Mark Freijah (CSIRO) for assistance in yarn productions and Colin Veitch (CSIRO) for assistance in optical microscopy, and Huaying Yin (Deakin University) for preparing the yarn cross-sections for imaging. We acknowledge the financial support from China Scholarship Council (201406630052) that enabled JX to carry out this work at CSIRO in Australia.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Xie, J., Gordon, S., Long, H. et al. Electrical percolation of fibre mixtures. Appl. Phys. A 121, 589–595 (2015). https://doi.org/10.1007/s00339-015-9436-1
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00339-015-9436-1