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

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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.

Original languageEnglish (US)
Pages (from-to)719-740
Number of pages22
JournalCommunications in Mathematical Sciences
Volume7
Issue number3
DOIs
StatePublished - 2009

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

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