Journal of Zhejiang University-SCIENCE A

, Volume 11, Issue 10, pp 822–826 | Cite as

Shift in the percolation threshold of compressed composites—A 3D Monte Carlo simulation



The shift in the percolation threshold of compressed composites was studied by a 3D continuum percolation model. A Monte Carlo (MC) method was employed in the simulations. The percolation threshold was found to rise with the compression strain, which captures the basic trend in compression-induced conductivity variation from the experiments. Both fiber bending and texture formation contribute to the percolation threshold. The results suggest that fillers with a high aspect ratio are more desirable for sensor and electrical switch applications.

Key words

Monte Carlo (MC) model Percolation threshold Compressed composites 

CLC number



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  1. Bauhofer, W., Kovacs, J.Z., 2009. A review and analysis of electrical percolation in carbon nanotube polymer composites. Composites Science and Technology, 69(10): 1486–1498. [doi:10.1016/j.compscitech.2008.06.018]CrossRefGoogle Scholar
  2. Carmona, F., Canet, R., Delhaes, P., 1987. Piezoresistance of heterogeneous solids. Journal of Applied Physics, 61(7): 2550–2557. [doi:10.1063/1.337932]CrossRefGoogle Scholar
  3. Dang, Z.M., Wang, L., Yin, Y., Zhang, Q., Lei, Q.Q., 2007. Giant dielectric permittivities in functionalized carbon-nanotube/electroactive-polymer nanocomposites. Advanced Materials, 19(6):852–857. [doi:10.1002/adma.200600703]CrossRefGoogle Scholar
  4. Foygel, M., Morris, R.D., Anez, D., French, S., Sobolev, V.L., 2005. Theoretical and computational studies of carbon nanotube composites and suspensions: Electrical and thermal conductivity. Physical Review B, 71(10):104201. [doi:10.1103/PhysRevB.71.104201]CrossRefGoogle Scholar
  5. Hussain, M., Choa, Y.H., Niihara, K., 2001. Fabrication process and electrical behavior of novel pressure-sensitive composites. Composites Part A: Applied Science and Manufacturing, 32(12):1689–1696. [doi:10.1016/S1359-835X(01)00035-5]CrossRefGoogle Scholar
  6. Kirkpatrick, S., 1973. Percolation and conduction. Reviews of Modern Physics, 45(4):574–588 [doi:10.1103/RevModPhys.45.574]CrossRefGoogle Scholar
  7. Li, C., Chou, T.W., 2007. Continuum percolation of nanocomposites with fillers of arbitrary shapes. Applied Physics Letters, 90(17):174108. [doi:10.1063/1.2732201]CrossRefGoogle Scholar
  8. Lin, C., Wang, H., Yang, W., 2010. Variable percolation threshold of composites with fiber fillers under compression. Journal of Applied Physics, 108(1):013509. [doi:10.1063/1.3457351]CrossRefGoogle Scholar
  9. Ma, H.M., Gao, X.L., 2008. A three-dimensional Monte Carlo model for electrically conductive polymer matrix composites filled with curved fibers. Polymer, 49(19):4230–4238. [doi:10.1016/j.polymer.2008.07.034]CrossRefGoogle Scholar
  10. Ma, H.M., Gao, X.L., Tolle, T.B., 2010. Monte Carlo modeling of the fiber curliness effect on percolation of conductive composites. Applied Physics Letters, 96(6): 061910. [doi:10.1063/1.3309590]CrossRefGoogle Scholar
  11. Safran, S.A., Webman, I., Grest, G.S., 1985. Percolation in interacting colloids. Physical Review A, 32(1):506–511 [doi:10.1103/PhysRevA.32.506]CrossRefGoogle Scholar
  12. Wichmann, M.H.G., Buschhorn, S.T., Gehrmann, J., Schulte, K., 2009. Piezoresistive response of epoxy composites with carbon nanoparticles under tensile load. Physical Review B, 80(24):245437. [doi:10.1103/PhysRevB.80.245437]CrossRefGoogle Scholar
  13. Yang, J.H., Xu, T., Lu, A., Zhang, Q., Fu, Q., 2008. Electrical properties of poly(phenylene sulfide)/multiwalled carbon nanotube composites prepared by simple mixing and compression. Journal of Applied Polymer Science, 109(2): 720–726. [doi:10.1002/app.28098]CrossRefGoogle Scholar
  14. Zhang, X.W., Pan, Y., Zheng, Q., Yi, X.S., 2000. Time dependence of piezoresistance for the conductor filled polymer composites. Journal of Polymer Science Part B Polymer Physics, 38(21):2739–2749. [doi:10.1002/1099-0488(20001101)38:21]CrossRefGoogle Scholar

Copyright information

© Zhejiang University and Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  1. 1.Applied Mechanics Laboratory, Department of Engineering MechanicsTsinghua UniversityBeijingChina
  2. 2.Institute of Applied MechanicsZhejiang UniversityHangzhouChina

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