Communications in Mathematical Sciences

A discrete network approximation for effective conductivity of non-Ohmic high-contrast composites

Alexei Novikov

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Abstract

We develop a discrete network approximation to effective conductivity of high contrast, highly packed particulate composites with nonlinear constituent relations. The key tool is the perforated medium approach, which provides a simple mathematical justification of the discrete network approximation by variational techniques.

Article information

Source
Commun. Math. Sci., Volume 7, Number 3 (2009), 719-740.

Dates
First available in Project Euclid: 26 October 2009

Permanent link to this document
https://projecteuclid.org/euclid.cms/1256562820

Mathematical Reviews number (MathSciNet)
MR2569030

Zentralblatt MATH identifier
1208.74008

Subjects
Primary: 74Q05: Homogenization in equilibrium problems 35Q72 94C05: Analytic circuit theory

Keywords
Effective conductivity discrete network variational bounds

Citation

Novikov, Alexei. A discrete network approximation for effective conductivity of non-Ohmic high-contrast composites. Commun. Math. Sci. 7 (2009), no. 3, 719--740. https://projecteuclid.org/euclid.cms/1256562820


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