Macroscopic Properties of Similar Arrays of Cylinders

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. An...

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Bibliographic Details
Published inQuarterly journal of mechanics and applied mathematics Vol. 56; no. 4; pp. 617 - 628
Main Authors Szczepkowski, J., Malevich, A. E., Mityushev, V.
Format Journal Article
LanguageEnglish
Published Oxford Oxford University Press 01.11.2003
Oxford Publishing Limited (England)
Subjects
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Heat conduction
Heat transfer
Physics
Composite materials
Conductivity
Circular cylinder
Boundary-value problems
Modelling
Effective medium model
Cylinder set
Heat transfer
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Summary: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.
Bibliography:ark:/67375/HXZ-LFDNDSB1-2
local:560617
istex:DDC1BA895137E7E8CAD3B97321E936A68177ADE2
Received 8 April 2003.
ISSN:0033-5614
1464-3855
DOI:10.1093/qjmam/56.4.617