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.

中文翻译：

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周期性复合材料有效电导率的扰动分析

我们考虑了周期性的两相复合材料的有效电导率$ \ lambda ^ {\ mathrm {eff}} $，这是通过将无限种均质材料的周期性夹杂物引入无限均质矩阵中而获得的。然后，我们研究了\ lambda ^ {\ mathrm {eff}} $在夹杂物形状，周期性结构和每种材料的电导率扰动下的行为。