ANALYTICAL CALCULATION OF THE CONDUCTIVITY OF HIGHLY
HETEROGENEOUS MEDIA WITH ALLOWANCE FOR PERCOLATION PHENOMENA

A. M. Mandel'

UDC 536

Purely analytical methods without employing any computer-empirical 
relations or parameters have been used to construct a simple model 
of the conductivity of a two-phase heterogeneous medium composed of 
grains in the form of oriented ellipsoids. The model is applicable 
at any, up to infinite, contrast of the conductivities of the phases 
and in the entire range of their possible concentrations. Moreover, 
it "automatically" predicts the existence of a percolation threshold, 
the value of which depends on the grain shape.

JEPTER7492019992
JEPTER749202