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首页> 外文期刊>International Journal of Thermophysics >A Multiscale Model for the Effective Thermal Conductivity Tensor of a Stratified Composite Material
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A Multiscale Model for the Effective Thermal Conductivity Tensor of a Stratified Composite Material

机译：分层复合材料有效导热系数张量的多尺度模型

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摘要

Thermal modeling of composites has three essential objectives: (i) comprehension of their thermal behavior; (ii) composite scaling in order to satisfy specific requirements; and (iii) optimal analysis of experimental results from thermal characterization. For a complete study of the material, each of these three points must be taken into account at the fiber scale (≈ 10μm), the yarn scale (≈ 1 mm), and the composite scale (≈ 10 cm). This work presents multi-scale modeling of the effective thermal conductivity tensor of a stratified composite material made from carbon fibers, phenolic resin, and carbon loads. The longitudinal and transverse thermal conductivities of the yarn are computed from optical microscopic imaging of the material. The isotropic thermal conductivity of the loaded matrix is computed by the Bruggeman model. Then, the thermal conductivity tensor is determined by a finite element method taking into account the morphology of the fabric. Computed values are close to experimental values measured by classical methods. Finally, analytical relations are proposed to obtain an efficient model which can be used in a multiphenomenon simulation of the composite structure.
机译：复合材料的热建模具有三个基本目标：（i）了解其热行为； （ii）综合缩放以满足特定要求； （iii）通过热表征对实验结果进行最佳分析。为了对材料进行全面研究，必须在纤维尺寸（≈10μm），纱线尺寸（≈1 mm）和复合材料尺寸（≈10 cm）下考虑这三个点。这项工作提出了由碳纤维，酚醛树脂和碳负荷制成的分层复合材料的有效导热张量的多尺度建模。纱线的纵向和横向热导率是根据材料的光学显微镜成像计算得出的。加载的矩阵的各向同性热导率由Bruggeman模型计算。然后，考虑织物的形态，通过有限元法确定热导率张量。计算值接近于通过经典方法测得的实验值。最后，提出解析关系以获得可用于复合结构的多现象模拟的有效模型。

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