Perturbation analysis of the effective conductivity of a periodic composite

Paolo Luzzini, Паоло Мусоліно · Networks and Heterogeneous Media · 2020

We consider the effective conductivity $ \lambda^{\mathrm{eff}} $ of a periodic two-phase composite obtained by introducing into an infinite homogeneous matrix a periodic set of inclusions of a different material. Then we study the behavior of $ \lambda^{\mathrm{eff}} $ upon perturbation of the shape of the inclusions, of the periodicity structure, and of the conductivity of each material.

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