Hostname: page-component-cd9895bd7-q99xh Total loading time: 0 Render date: 2024-12-27T02:14:35.228Z Has data issue: false hasContentIssue false

An Equivalent Circuit Approach to Evaluating Conductivity of Polymer-Filler Composites

Published online by Cambridge University Press:  11 February 2011

Vladislav Skorokhod*
Affiliation:
Xerox Research Centre of Canada, 2660 Speakman Drive, Mississauga, Ontario L5K 2L1, Canada
Get access

Abstract

An equivalent circuit model of electrical conduction in polymer-filler particulate composites was developed in this study. The equivalent circuit was constructed for an individual composite particle with a sub-monolayer of conductive filler, where the filler particles play the role of circuit nodes, and inter-particle contacts are represented by resistors between the nodes. The mathematical representation of the equivalent circuit in the form of a linear system of equations for nodal potentials was solved numerically with Matlab software to calculate conductance of the composite as a function of the amount of conductive filler, filled fraction of the monolayer, filler-to-matrix size ratio and the degree of structuredness (non-randomness) of the filler material. Additionally, percolation concentrations and statistical distributions of composite conductance were calculated as functions of the filler-to-matrix size ratio.

Type
Research Article
Copyright
Copyright © Materials Research Society 2003

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

1. Lux, F., J. Mater. Sci. 28, 285 (1993).CrossRefGoogle Scholar
2. Clingerman, M.L, King, J.A., Schulz, K.H. and Meyers, J.D., J. Appl. Polymer Sci. 83, 1341 (2002).CrossRefGoogle Scholar
3. Maliaris, A. and Turner, D.T., J. Appl. Phys. 42, 614 (1971).Google Scholar
4. Rajagopal, C. and Satyam, M., J. Appl. Phys. 49, 5536 (1978).CrossRefGoogle Scholar
5. Bhattacharya, S.K. and Chaklader, A.C.D., Poly.-Plast. Technol. Eng. 19, 21 (1982).Google Scholar
6. Kendall, K., Powder Technology 62, 147 (1990).CrossRefGoogle Scholar