Heat Conduction of 2D Composite Materials with Symmetric Inclusions: a Model and Reduction to a Vector-Matrix Problem

Abstract:

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We consider steady potential heat conduction of a cylindrical composite material with the special geometry. The matrix is modelling by the unit disc with di®erent conductivity of six equal sectors. Inclusions (having di®erent conductivity too) are symmetrically situated discs non-intersecting boundary of sectors. Mixed boundary conditions on parts of the boundary of matrix and matrix-inclusions leads to di®erent model of composite materials. A new method to study the corresponding mathematical model is proposed. It is based on the reduction of the problem to the vector-matrix boundary value problem for analytic vectors. The method is connected with the approach by Zhorovina and Mityushev to the study of R-linear boundary value on a fan-shaped domain.

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Periodical:

Edited by:

Andreas Öchsner and José Grácio

Pages:

136-142

DOI:

10.4028/www.scientific.net/MSF.553.136

Citation:

M. Dubatovskaya and S. Rogosin, "Heat Conduction of 2D Composite Materials with Symmetric Inclusions: a Model and Reduction to a Vector-Matrix Problem", Materials Science Forum, Vol. 553, pp. 136-142, 2007

Online since:

August 2007

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$35.00

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