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

Alexei Novikov

doi:10.4310/CMS.2009.v7.n3.a10

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

Alexei Novikov

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

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.

Original language	English (US)
Pages (from-to)	719-740
Number of pages	22
Journal	Communications in Mathematical Sciences
Volume	7
Issue number	3
DOIs	https://doi.org/10.4310/CMS.2009.v7.n3.a10
State	Published - 2009

All Science Journal Classification (ASJC) codes

Mathematics(all)
Applied Mathematics

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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.",

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

Abstract

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