Geodesic
On conductivity of composite material composed from thin random layers
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 10 (2003) no. 1, pp. 76-93 
N. V. Kraynyukova. On conductivity of composite material composed from thin random layers. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 10 (2003) no. 1, pp. 76-93. http://geodesic.mathdoc.fr/item/JMAG_2003_10_1_a6/
@article{JMAG_2003_10_1_a6,
     author = {N. V. Kraynyukova},
     title = {On conductivity of composite material composed from thin random layers},
     journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
     pages = {76--93},
     year = {2003},
     volume = {10},
     number = {1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JMAG_2003_10_1_a6/}
}
TY  - JOUR
AU  - N. V. Kraynyukova
TI  - On conductivity of composite material composed from thin random layers
JO  - Žurnal matematičeskoj fiziki, analiza, geometrii
PY  - 2003
SP  - 76
EP  - 93
VL  - 10
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/JMAG_2003_10_1_a6/
LA  - en
ID  - JMAG_2003_10_1_a6
ER  - 
%0 Journal Article
%A N. V. Kraynyukova
%T On conductivity of composite material composed from thin random layers
%J Žurnal matematičeskoj fiziki, analiza, geometrii
%D 2003
%P 76-93
%V 10
%N 1
%U http://geodesic.mathdoc.fr/item/JMAG_2003_10_1_a6/
%G en
%F JMAG_2003_10_1_a6

Voir la notice de l'article provenant de la source Math-Net.Ru

We study conductive properties of a composite material, consisting of alternating layers with finite and infinite specific conductivity. On the basis of assumptions that separation boundaries of layers are stochastic functions and the layers thickness $\varepsilon$ (in an oder of magnitude) is infinitely descending we have derived the formula for effective electrical conductivity of the relevant sample for the total current flowing in the direction being normal to a layer surface.