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Transport Properties of Double‐Periodic Arrays of Circular Cylinders
Author(s) -
Mityushev V. V.
Publication year - 1997
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19970770209
Subject(s) - conductivity , rayleigh scattering , tensor (intrinsic definition) , periodic system , mathematical analysis , double layered , physics , materials science , mathematics , geometry , optics , composite material , quantum mechanics
The paper is concerned with the problem of the conductivity of double‐periodic composite materials with circular inclusions. Rayleigh's sum S 2 has been calculated for each double‐periodic structure. An exact formula for the tensor of effective conductivity is given.