Effective elastic and conductive properties of 2-D random (“disordered”) mixtures of several types are examined by computational means. It is found that an “equivalent” material of simple microgeometry – a continuous matrix with elliptical inhomogeneities – can be identified, that matches the elastic and the conductive properties, in the entire range of property contrast between constituents. Moreover, the ellipse eccentricities are almost the same for different types of the random mixtures in the volume fraction range (0.3 – 0.7); in this range, there is no need in specifying the type of a mixture, as far as the effective properties are concerned. It is also found that the effective properties of the considered random mixtures are well described by the Mori-Tanaka-Benveniste model (in spite of the fact that this model was not intended for them).

中文翻译：

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随机微观结构的有效性质及其跨性质联系

通过计算手段检查几种类型的二维随机（“无序”）混合物的有效弹性和导电特性。研究发现，可以识别出简单微观几何形状的“等效”材料（具有椭圆不均匀性的连续基体），该材料在成分之间的整个性能对比范围内与弹性和导电性能相匹配。此外，不同类型的随机混合物在体积分数范围（0.3~0.7）内椭圆偏心率几乎相同；在此范围内，就有效性能而言，无需指定混合物的类型。还发现 Mori-Tanaka-Benveniste 模型很好地描述了所考虑的随机混合物的有效特性（尽管该模型并非针对它们）。