Effective Conductivity of Densely Packed Disks and Energy of Graphs

Author:

Nawalaniec WojciechORCID,Necka Katarzyna,Mityushev VladimirORCID

Abstract

The theory of structural approximations is extended to two-dimensional double periodic structures and applied to determination of the effective conductivity of densely packed disks. Statistical simulations of non-overlapping disks with the different degrees of clusterization are considered. The obtained results shows that the distribution of inclusions in a composite, as an amount of geometrical information, remains in the discrete corresponding Voronoi tessellation, hence, precisely determines the effective conductivity for random composites.

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Reference26 articles.

1. Network Approximation in the Limit of¶Small Interparticle Distance of the¶Effective Properties of a High-Contrast¶Random Dispersed Composite

2. Asymptotics of the capacitance of a system of closely-spaced bodies. The I. E. Tamm screening effect and network model;Kolpakov;Dokl. Ross. Akad. Nauk,2007

3. Influence of a Defect Between Closely-Spaced Disks on Their Mutual Capacitance

4. Capacity and Transport in Contrast Composite Structures: Asymptotic Analysis and Applications;Kolpakov,2010

5. Introduction to the Network Approximation. Method for Materials Modeling;Berly,2013

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