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math-ph2019
Effective conductivity of a random suspension of highly conducting spherical particles
Vladimir Mityushev, Wojciech Nawalaniec
Randomly distributed non-overlapping perfectly conducting spheres are embedded in a conducting matrix with the concentration of inclusions . Jeffrey (1973) suggested an analytic…
math-ph2017
Exact and "exact" formulae in the theory of composites
Igor Andrianov, Vladimir Mityushev
The effective properties of composites and review literature on the methods of Rayleigh, Natanzon--Filshtinsky, functional equations and asymptotic approaches are outlined. In conn…
math-ph2017
A relation on the effective conductivity of composites
Vladimir Mityushev
Consider a 2D composites with non-overlapping equal inclusions imbedded in a host material of the normalized unit conductivity. The conductivity of inclusions takes two values $σ_1…