Communications in Mathematical Sciences
Volume 7 (2009)
A discrete network approximation for effective conductivity of non-Ohmic high-contrast composites
Pages: 719 – 740
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.
Effective conductivity; discrete network; variational bounds
2010 Mathematics Subject Classification