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Effective Conductivity of Densely Packed Disks and Energy of Graphs
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