Eur. Phys. J. Plus (2021) 136: 725
https://doi.org/10.1140/epjp/s13360-021-01417-9

Regular Article

Development of Jang–Yin model for effectual conductivity of nanocomposite systems by simple equations for the resistances of carbon nanotubes, interphase and tunneling section

¹ Biomaterials and Tissue Engineering Research Group, Department of Interdisciplinary Technologies, Breast Cancer Research Center, Motamed Cancer Institute, ACECR, Tehran, Iran
² Department of Mechanical Engineering (BK21 Four), College of Engineering, Kyung Hee University, 1 Seocheon, Giheung, 449-701, Yongin, Gyeonggi, Republic of Korea

^b ssrhim@khu.ac.kr
^c rheeky@khu.ac.kr

Received: 15 December 2020
Accepted: 9 April 2021
Published online: 6 July 2021

Abstract

This work considers the resistances of nanocomposite’s components such as interphase space and tunneling section into Jang–Yin model to propose an advanced model for the effectual conductivity of polymer carbon nanotubes (CNTs) system (PCNT). The advanced model expresses the effectual conductivity by interphase depth, tunneling parameters and network portion. The experimental data of numerous samples evaluate the predictions obtained from original and advanced models. In addition, the effects of all model’s factors on the effectual conductivity are estimated. The predictions of original model mismatch with the measured data, while the estimations of the advanced equation correctly match with the conductivity of real specimens. The high concentration of slim CNTs as well as little tunneling resistivity and small tunnels favorably improves the effectual conductivity.