Abstract

AbstractVariational perturbation approach is applied to derive upper and lower bounds on the effective conductivity of two‐dimensional isotropic quasisymmetric (or symmetric cell) N‐component media, which involve only the definite information about the volume proportions and properties of their components. The bounds appear to improve upon, or coincide (in case of circular cell subclass) with, the bounds constructed by an alternative variational approach. The general geometry‐dependent bounds for isotropic composites converge to yield the exact effective conductivity of the multi‐coated circles model.

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