Abstract
The effective DC conductivity of polymer-graphene composites is modeled by contact resistance and interphase depth. The resistances of polymer layer and graphene nanosheets in the contact spaces define the contact resistance. Also, the effective filler concentration reveals the interphase role in the conductivity. So, the effective conductivity is correlated to the concentration, thickness and conduction of graphene in addition to interphase depth, tunnel resistivity, contact diameter, contact distance and percolation onset. Experimental data of some samples are fitted to the predictions of developed model. The impressions of factors on the effective conductivity are justified supposing the contact resistance and network performance. Thin graphene nanosheets and wide contacts suggest a high effective conductivity. In addition, the effective conductivity directly links to the graphene loading, while the significant graphene conduction cannot affect it. The small contact area between nanosheets weakens the conductivity, but a high effective conductivity is achieved by big contact area and poor percolation onset.
Similar content being viewed by others
Data Availability
The raw/processed data required to reproduce these findings can be shared as requested.
References
K.S. Novoselov, A.K. Geim, S.V. Morozov, D. Jiang, Y. Zhang, S.V. Dubonos, I.V. Grigorieva, and A.A. Firsov, Science 306, 666 (2004).
L. Shi, M. Liu, W. Zhang, W. Ren, S. Zhou, Q. Zhou, Y. Yang, and Z. Ren, JOM 74, 3082 (2022).
P. Kumar, J.K. Ratan, and N. Divya, JOM 74, 1828 (2022).
J.R. Junaqani, M. Kazazi, M.J.S. Shahraki, and M.D. Chermahini, JOM 74, 808 (2022).
A. Owhal, A.D. Pingale, S. Khan, S.U. Belgamwar, P.N. Jha, and J.S. Rathore, JOM 73, 4270 (2021).
S. Ghanbari, F. Ahour, and S. Keshipour, Sci. Rep. 12, 1 (2022).
M.S. Alborzi, and A. Rajabpour, Eur. Phys. J. Plus 136, 959 (2021).
S. Bahrami, N. Baheiraei, and M. Shahrezaee, Sci. Rep. 11, 1 (2021).
M. Azizi-Lalabadi, and S.M. Jafari, Adv. Colloid Interface Sci. 292, 102416 (2021).
M. Hassanzadeh-Aghdam, Compos. Sci. Technol. 209, 108791 (2021).
A. Khosrozadeh, R. Rasuli, H. Hamzeloopak, and Y. Abedini, Sci. Rep. 11, 1 (2021).
F. Mahdi, L. Naji, and A. Rahmanian, Surf. Interfaces 23, 100925 (2021).
J. Li, Y. Huang, Y. Zhou, and F. Zhu, JOM 74, 3518 (2022).
Z. Lin, X. Ren, J. Liu, Y. Sui, C. Qin, and X. Jiang, JOM 73, 834 (2021).
D. Khedri, A.H. Hassani, E. Moniri, H.A. Panahi, and M. Khaleghian, Surf. Interfaces 35, 102439 (2022).
M. Pagnola, F. Morales, P. Tancredi, and L. Socolovsky, JOM 73, 2471 (2021).
A. Patil, M.S.K.K.Y. Nartu, F. Ozdemir, R. Banerjee, R.K. Gupta, and T. Borkar, JOM 74, 4583 (2022).
X. Ren, Z. Yuan, Z. Lin, X. Lv, C. Qin, and X. Jiang, JOM 73, 4091 (2021).
Y. Zhang, J. Qin, M. Batmunkh, and Y.L. Zhong, JOM 73, 2531 (2021).
Y. Zare, and K.Y. Rhee, J. Phys. Chem. Solids 131, 15 (2019).
Y. Zare, K.Y. Rhee, and S.-J. Park, Res. Phys. 14, 102406 (2019).
C. Feng, and L. Jiang, Compos. A Appl. Sci. Manuf. 47, 143 (2013).
T. Takeda, Y. Shindo, Y. Kuronuma, and F. Narita, Polymer 52, 3852 (2011).
S. Colonna, O. Monticelli, J. Gomez, C. Novara, G. Saracco, and A. Fina, Polymer 102, 292 (2016).
M. Haghgoo, R. Ansari, and M. Hassanzadeh-Aghdam, Compos. A Appl. Sci. Manuf. 152, 106716 (2022).
Y. Zare, and K.Y. Rhee, Sci. Rep. 12, 1 (2022).
M.L. Clingerman, J.A. King, K.H. Schulz, and J.D. Meyers, J. Appl. Polym. Sci. 83, 1341 (2002).
L. Chang, K. Friedrich, L. Ye, and P. Toro, J. Mater. Sci. 44, 4003 (2009).
S. Kara, E. Arda, F. Dolastir, and Ö. Pekcan, J. Colloid Interface Sci. 344, 395 (2010).
F. Du, R.C. Scogna, W. Zhou, S. Brand, J.E. Fischer, and K.I. Winey, Macromolecules 37, 9048 (2004).
N. Ryvkina, I. Tchmutin, J. Vilčáková, M. Pelíšková, and P. Sáha, Synth. Met. 148, 141 (2005).
G. Ambrosetti, C. Grimaldi, I. Balberg, T. Maeder, A. Danani, and P. Ryser, Phys. Rev. B 81, 155434 (2010).
N. Hu, Y. Karube, C. Yan, Z. Masuda, and H. Fukunaga, Acta Mater. 56, 2929 (2008).
Y. Zare, K.Y. Rhee, and S.-J. Park, J. Ind. Eng. Chem. 86, 53 (2020).
R. Razavi, Y. Zare, and K.Y. Rhee, RSC Adv. 7, 50225 (2017).
Y. Zare, H. Garmabi, and K.Y. Rhee, Mater. Chem. Phys. 206, 243 (2018).
M. Mohiuddin, and S.V. Hoa, Compos. Sci. Technol. 79, 42 (2013).
Y. Zare, and K.Y. Rhee, Eng. Sci. Technol. Int. J. 24, 605 (2021).
Y. Zare, J. Colloid Interface Sci. 467, 165 (2016).
Y. Zare, RSC Adv. 5, 95532 (2015).
W. Peng, S. Rhim, Y. Zare, and K.Y. Rhee, Polym. Compos. 40, 1117 (2019).
Y. Zare, Int. J. Adhes. Adhes. 54, 67 (2014).
Y. Zare, and K.Y. Rhee, Nanoscale Res. Lett. 12, 1 (2017).
M. Martin-Gallego, M. Bernal, M. Hernandez, R. Verdejo, and M. Lopez-Manchado, Eur. Polym. J. 49, 1347 (2013).
H. Shin, S. Yang, J. Choi, S. Chang, and M. Cho, Chem. Phys. Lett. 635, 80 (2015).
V. Favier, J. Cavaille, G. Canova, and S. Shrivastava, Polym. Eng. Sci. 37, 1732 (1997).
Y. Zare, and K. Rhee, Phys. Mesomech. 21, 351 (2018).
Y. Zare, and K.Y. Rhee, Polym. Compos. 41, 748 (2020).
Y. Zare, and K.Y. Rhee, RSC Adv. 8, 30986 (2018).
Y. Zare, K.Y. Rhee, and S.-J. Park, JOM 74, 3059 (2022).
E. Messina, N. Leone, A. Foti, G. Di Marco, C. Riccucci, G. Di Carlo, F. Di Maggio, A. Cassata, L. Gargano, and C. D’Andrea, ACS Appl. Mater. Interfaces 8, 23244 (2016).
G. Seidel, and A.-S. Puydupin-Jamin, Mech. Mater. 43, 755 (2011).
J. Li, and J.-K. Kim, Compos. Sci. Technol. 67, 2114 (2007).
Y.G. Yanovsky, G. Kozlov, and Y.N. Karnet, Phys. Mesomech. 16, 9 (2013).
J. Li, P.C. Ma, W.S. Chow, C.K. To, B.Z. Tang, and J.K. Kim, Adv. Funct. Mater. 17, 3207 (2007).
L. Xu, G. Chen, W. Wang, L. Li, and X. Fang, Compos. A Appl. Sci. Manuf. 84, 472 (2016).
S. Stankovich, D.A. Dikin, G.H. Dommett, K.M. Kohlhaas, E.J. Zimney, E.A. Stach, R.D. Piner, S.T. Nguyen, and R.S. Ruoff, Nature 442, 282 (2006).
C. Gao, S. Zhang, F. Wang, B. Wen, C. Han, Y. Ding, and M. Yang, ACS Appl. Mater. Interfaces 6, 12252 (2014).
M. Goumri, B. Lucas, B. Ratier, and M. Baitoul, Opt. Mater. 60, 105 (2016).
S. Maiti, S. Suin, N.K. Shrivastava, and B. Khatua, J. Appl. Polym. Sci. 130, 543 (2013).
Funding
No funding.
Author information
Authors and Affiliations
Corresponding authors
Ethics declarations
Conflict of interest
The authors declare that they have no conflict of interest.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Zare, Y., Rhee, K.Y. Effective DC Conductivity of Polymer Composites Containing Graphene Nanosheets. JOM 75, 4485–4493 (2023). https://doi.org/10.1007/s11837-023-05758-x
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11837-023-05758-x