On the effective conductivity of composite materials

TL;DR

This paper analyzes the effective electrical conductivity of composite materials with high-conductivity fibers in a low-conductivity matrix, using Clausius-Mossotti approximation to relate measurable parameters to the system's properties.

Contribution

It introduces a method to calculate the effective conductivity of composite materials and analyzes electric fields within the system, highlighting the potential for high local fields in the matrix.

Findings

Effective conductivity can be estimated from experimental data.

Electric fields in the matrix can exceed the applied field significantly.

The Clausius-Mossotti approximation is applicable for such composites.

Abstract

A composite conductive material, which consists of fibers of a high conductivity in a matrix of low conductivity, is discussed. The effective conductivity of the system considered is calculated in Clausius-Mossotti approximation. Obtained relationships can be used to calculate the conductivity of a matrix, using experimentally measured parameters. Electric fields in the matrix and the inclusions are calculated. It is shown that the field in a low-conductivity matrix can be much higher than the external applied one.