ORCID

Abstract

Carbon nanotubes (CNTs) have garnered great attention in recent years due to their outstanding electrical, thermal, and mechanical properties. The incorporation of small amounts of CNTs in polymers can substantially improve the sensitivity of the polymer’s electrical conductivity. This paper presents a modified Maxwell model to evaluate the electrical conductivity of CNTs-filled polymer composites by introducing a transition zone to account for the tunneling effect. In this modified Maxwell model, the CNTs-filled polymer composite is modeled as a three-phase composite, consisting of a matrix (polymer), inclusions (CNTs), and a transition zone (tunneling zone). The effective electrical conductivity (EEC) of the composite is calculated based on the volume fractions and electrical conductivities of the matrix, inclusions, and transition zone. The model’s validity is confirmed through the use of available test data, which demonstrates its capability to accurately capture the nonlinear conductivity behavior observed in CNTs-polymer composites. This study offers valuable insights into the design of high-performance conductive polymer nanocomposites, and enhances the understanding of electrical conduction mechanisms in CNT-dispersed polymer composites.

Publication Date

2025-01-02

Publication Title

Applied Mathematics and Mechanics (English Edition)

Volume

46

Issue

1

ISSN

0253-4827

Acceptance Date

2024-12-06

Deposit Date

2025-07-15

Keywords

carbon nanotube (CNT), composite, electrical conductivity, Maxwell model, O242.2, O441.1, polymer, tunneling

First Page

25

Last Page

36

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