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Explicit cross--property correlations for porous materials with anisotropic microstructures

机译:具有各向异性微观结构的多孔材料的显式跨属性关联

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摘要

Explicit correlations between two groups of anisotropic effective properties-coductivity and elasticity--are established for porous materials with anisotropic microstructures (non-ran- domly oriented pores of non-spherical shapes). In the present work, the correlations are derived in the framework of the non--interaction approximation. The elasticity tensor is expressed in terms of the conductivity tensor in the closed form. These results are based on the possibility to represent, with good accuracy, the fourth rank tensor of elastic compliances in terms of a certain second rank symmetric tensor and a unit tensor. Applications to realistic microstruc- tures, containing mixtures of diverse pore shapes are discussed.
机译:对于具有各向异性微观结构的多孔材料(非球形的非随机定向孔),建立了两组各向异性有效特性(导电性和弹性)之间的明确关联。在目前的工作中,相关性是在非相互作用近似的框架中得出的。弹性张量以闭合形式的电导率张量表示。这些结果是基于以一定的第二等级对称张量和单位张量表示弹性顺应性的第四等级张量的可能性。讨论了包含各种孔隙形状混合物的实际微结构的应用。

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