Effective Conductivity of Densely Packed Disks and Energy of Graphs

Wojciech Nawalaniec, Katarzyna Necka, Vladimir Mityushev
2020 Mathematics  
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.
doi:10.3390/math8122161 fatcat:m4pc6r3lizea5e7jsalitaifzm