Abstract

A novel effective medium theory for homogenized transport coefficients of anisotropic mixtures of possibly anisotropic materials is developed. Existing theories for isotropic systems cannot be easily extended, because that would require geometric characterizations of anisotropic connectivity. In this work anisotropic connectivity is characterized by introducing a tensor that is constructed from a histogram of local percolating directions. The construction is inspired by local porosity theory. A large number of known and unknown generalized effective medium approximations for anisotropic media are obtained as limiting special cases from the new theory. Among these limiting cases the limit of strong cylindrical anisotropy is of particular interest. The parameter space of the generalized theory is explored, and the advanced results are applied to experiment.

Graphic abstract

中文翻译：

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各向异性无序材料的有效输运系数

摘要

发展了一种新的有效介质理论，用于计算可能的各向异性材料的各向异性混合物的均匀输运系数。现有的各向同性系统理论不能轻易扩展，因为这需要各向异性连通性的几何表征。在这项工作中，各向异性连通性的特点是引入了一个由局部渗透方向直方图构建的张量。该结构的灵感来自局部孔隙率理论。从新理论中获得了大量已知和未知的各向异性介质的广义有效介质近似值作为限制特例。在这些极限情况中，强圆柱各向异性的极限是特别令人感兴趣的。探索广义理论的参数空间，

图形摘要