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 r2 for all sufficiently small r.
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
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