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.
Perturbation analysis of the effective conductivity of a periodic composite
Musolino, Paolo
2020-01-01
Abstract
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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