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Effective conductivity of 2D disk – ring composite material

    Serhii Gryshchuk Affiliation
    ; Sergei Rogosin Affiliation

Abstract

For 2D bounded composite material geometrically composed by a disk of variable radius r and an outer ring it is determined in an analytic form the x-component of the effective conductivity tensor. Namely, it is shown that the x-component is a sum of geometrical progression with respect to powers of r 2 for all sufficiently small r.

Keyword : bounded 2D composites, disk-ring, heat conduction, ℝ-linear problem, effective conductivity

How to Cite
Gryshchuk, S., & Rogosin, S. (2013). Effective conductivity of 2D disk – ring composite material. Mathematical Modelling and Analysis, 18(3), 386-394. https://doi.org/10.3846/13926292.2013.804890
Published in Issue
Jun 1, 2013
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This work is licensed under a Creative Commons Attribution 4.0 International License.