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The Quarterly Journal of Mechanics and Applied Mathematics 2003 56(4):617-628; doi:10.1093/qjmam/56.4.617
© 2003 by Oxford University Press
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Macroscopic Properties of Similar Arrays of Cylinders

J. Szczepkowski1, A. E. Malevich2 and V. Mityushev3

( 1 Department of Mathematics, Pedagogical University, ul.Arciszewskiego 22B, Slupsk 76-200, Poland 2 Department of Mathematics and Mechanics, Bielorussian State University, pr. Skaryny 4, Minsk 220050, Belarus 3 Department of Mathematics, Pedagogical University, ul.Arciszewskiego 22B, Slupsk 76-200, Poland )

A doubly periodic set of unidirectional circular cylinders is embedded in a homogeneous matrix. We consider the situation with one or more cylinders moved (or removed) within the representative cell. We compare the effective conductivity of both structures when they are macroscopically isotropic. Analytical formulae for the differences of the effective conductivities are deduced.

Received 8 April 2003.


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