Composite materials have been widely used across industry sectors. However, they are characterized by a variability of thermal conductivity with the architecture and manufacturing processes. Hence, thermal transfer in composite materials requires an improved fundamental understanding. From numerical purposes, the Finite Element Method (FEM) seems a robust method to study heat transfer in composite material. However, it does not establish a high-fidelity with the real life of material since it is difficult to take into account potential damage matrix or interface imperfection by this method. As such, this paper discusses the development of numerical approach based on the Discrete Element Method (DEM) to study heat transfer in composite materials. For that purpose, we consider a hybrid lattice model based on the equivalence between a particulate domain and a continuous medium. Several works have used the DEM to study heat transfer in a homogeneous and continuous medium. Through this contribution, we aim to extend this approach to investigate composite materials. The model is then validated in terms of temperature by comparison with numerical and experimental results through several applications. Furthermore, a special care taken in the evaluation of the heat flux density fields. To the knowledge of the authors, previous works did not interest to the examination of heat flux density when using the DEM. Indeed, this sensitive to the packing configuration and consequently always heterogeneous even if there typically homogeneous. To overcome this problem, an original smoothing technique called Halo is proposed and discussed in this work. Results exhibit the relevance of the proposed approach to evaluate both temperature and heat flux density fields with a good degree of precision compared with th FEM, the Fast Fourier Transformer (FFT) based method and experimental data.

复合材料已广泛应用于各个行业。然而，它们的特征在于热导率随体系结构和制造过程的变化。因此，复合材料中的热传递需要更好的基础理解。从数值目的来看，有限元方法（FEM）似乎是研究复合材料传热的可靠方法。但是，由于很难通过这种方法考虑潜在的损坏基质或界面缺陷，因此无法在材料的真实寿命中建立高保真度。因此，本文讨论了基于离散元方法（DEM）的数值方法的发展，以研究复合材料中的传热。为了这个目的，我们考虑基于颗粒域和连续介质之间的等价关系的混合晶格模型。多项工作已使用DEM来研究均质和连续介质中的传热。通过这一贡献，我们旨在将这种方法扩展到研究复合材料。然后通过与几种应用的数值和实验结果进行比较，在温度方面验证该模型。此外，在评估热通量密度场时要格外小心。据作者所知，以前的工作对使用DEM时检查热通量密度不感兴趣。实际上，这对填充构造敏感，因此即使在通常均匀的情况下也总是异质的。为了克服这个问题，在这项工作中提出并讨论了一种称为Halo的原始平滑技术。结果表明，与FEM，基于快速傅立叶变压器（FFT）的方法和实验数据相比，该方法具有较高的精确度，可以同时评估温度和热通量密度场，具有相关性。