基于Mori-Tanaka的各种工程材料有效导热系数的估算
Mori-Tanaka Based Estimates of Effective Thermal Conductivity of Various Engineering Materials
摘要：
本文的目的是提出一个简单的细观力学为基础的模型来估计实际世界的宏观各向同性材料的基质夹杂类型的有效导热系数。该方法是基于成熟的Mori-Tanaka方法的复合介质增强与椭球形夹杂物，扩展到占不完善的热接触在基体夹杂物界面，随机取向的颗粒和粒度分布。使用简单的系综平均参数，我们表明，原来的Mori-Tanaka关系仍然适用于这些复杂系统，适当修改的夹杂物的电导率。该结论得到了详细的有限元研究模型的验证以及广泛的工程材料系统的实验数据验证的支持。
英文摘要：
The purpose of this paper is to present a simple micromechanics-based model to estimate the effective thermal conductivity of real-world macroscopically isotropic materials of matrix-inclusion type. The methodology is based on the well-established Mori-Tanaka method for composite media reinforced with ellipsoidal inclusions, extended to account for imperfect thermal contact at the matrix-inclusion interface, random orientation of particles and particle size distribution. Using simple ensemble averaging arguments, we show that the original Mori-Tanaka relations are still applicable for these complex systems, provided that the inclusion conductivity is appropriately modified. Such conclusion is supported by the verification of the model against a detailed finite-element study as well as its validation against experimental data for a wide range of engineering material systems.
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