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Effective thermal conductivity of functionally graded random micro-heterogeneous materials using representative volume element and BEM

机译:使用代表性体积元和BEM的功能梯度随机微非均质材料的有效导热系数

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摘要

This work introduces a numerical methodology for the computation of the effective thermal conductivity (ETC) of random micro-heterogeneous materials using representative volume elements and the Fast Mul-tipole Boundary Element Method (FMBEM). The methodology is applied to solve two-dimensional foam-like materials consisting of random distributions of circular isolated holes. The computed ETC values are successfully used to predict the temperature fields of two materials with functionally graded ETCs. Numerical and analytical results are experimentally validated. The proposed methodology is flexible and versatile, as it is capable to account for both, the geometrical and topological details of the material microstructure.
机译:这项工作介绍了一种数值方法,用于使用代表性的体积元和快速多极边界元方法(FMBEM)计算随机微非均质材料的有效导热系数(ETC)。该方法适用于求解由圆形隔离孔的随机分布组成的二维泡沫状材料。计算得出的ETC值已成功用于预测两种具有功能梯度ETC的材料的温度场。数值和分析结果均经过实验验证。所提出的方法是灵活和通用的,因为它能够解决材料微观结构的几何和拓扑细节。

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