TY - JOUR

T1 - Isotropic conductivity of two-dimensional three-component symmetric composites

AU - Fel, Leonid G.

AU - Machavariani, Vladimir Sh

AU - Bergman, David J.

PY - 2000/9/29

Y1 - 2000/9/29

N2 - The effective DC conductivity problem of isotropic, two-dimensional (2D), three-component, symmetric, regular composites is considered. A simple cubic equation with one free parameter for σe (σ1, σ2, σ3) is suggested whose solutions automatically have all the exactly known properties of that function. Numerical calculations on four different symmetric, isotropic, 2D, three-component, regular structures show a non-universal behaviour of σe, (σ1, σ2, σ3) with an essential dependence on micro-structural details, in contrast with the analogous two-component problem. The applicability of the cubic equation to these structures is discussed. An extension of that equation to the description of other types of 2D three-component structures is suggested, including the case of random structures.

AB - The effective DC conductivity problem of isotropic, two-dimensional (2D), three-component, symmetric, regular composites is considered. A simple cubic equation with one free parameter for σe (σ1, σ2, σ3) is suggested whose solutions automatically have all the exactly known properties of that function. Numerical calculations on four different symmetric, isotropic, 2D, three-component, regular structures show a non-universal behaviour of σe, (σ1, σ2, σ3) with an essential dependence on micro-structural details, in contrast with the analogous two-component problem. The applicability of the cubic equation to these structures is discussed. An extension of that equation to the description of other types of 2D three-component structures is suggested, including the case of random structures.

UR - http://www.scopus.com/inward/record.url?scp=0034730269&partnerID=8YFLogxK

U2 - 10.1088/0305-4470/33/38/302

DO - 10.1088/0305-4470/33/38/302

M3 - מאמר

AN - SCOPUS:0034730269

VL - 33

SP - 6669

EP - 6681

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

IS - 38

ER -