Thermal management materials frequently have multi-phase composite character with complex architecture of the constituents. As a result, design rules are needed which can be used in selection of the phases and optimizing their volume fractions. The study shows that such are provided by finite element modeling of these composites. This is demonstrated for a diamond-SiC-Si-(Al) composites, which have been optimized in terms of the volume fraction of SiC, contact area between the components and presence of open porosity.
IntroductionWorldwide research in the field of thermal management materials has lead to development of high thermally conductive diamond-based composites. Among them, diamond-SiC have potentially a high thermal conductivity (>400 W/m/K), low density and, in contrast to the metal-based composites, CTE matched to the one of silicon [1].These composites are produced in HTHP process [2], GPI or squeeze-casting [3], [4] and, more recently, by reactive microwave sintering [5]. The latter enables selective absorption of microwave energy by Si, preventing graphitization of diamond. The as-grown SiC provides a mechanical stability of the composite and a path for heat transport between the diamonds. However, the composites obtained by microwave sintering of Si and diamond powders are characterized by a complex structure, Fig. 1, which needs to be optimized for their industrial applications.The goal of this work is to develop a model which could be used to predict the effective thermal conductivity of diamond-SiC-Si porous and infiltrated composites with varying microstructures. To this end, a finite element method (FEM) has been used with representative unit cell shown in Fig.2. The FEM is a universal tool which can be applied to problems with various types of load, including mechanical, thermal stresses [6] or heat [7] and this method was used in the current work.