For multiple applications in nuclear energy, the ability to accurately represent material behavior with a simplified model is important to facilitate practical engineering-scale simulations. In this work, we focus on the homogenized thermal response of a medium containing spherical inclusions, similar to a fuel form (compact or pebble) containing (TRISO) particles. A review on effective thermal conductivity (ETC) modeling is performed considering a random distribution of mono-sized spherical inclusions in a continuous matrix, with a primary focus on the analytical models. Finite element simulations are performed to evaluate each analytical model in varying material conditions. The model predictions are compared with the expected results obtained from the finite element predictions in addition to the Wiener and Hashin-Shtrikman bounds. Lastly, we included a practical discussion on the homogenization applied to a TRISO fuel pebble.

对于核能的多种应用，使用简化模型准确表示材料行为的能力对于促进实际工程规模模拟非常重要。在这项工作中，我们专注于包含球形夹杂物的介质的均匀热响应，类似于包含 (TRISO) 颗粒的燃料形式（紧凑或卵石）。考虑单尺寸球形夹杂物在连续基体中的随机分布，对有效热导率 (ETC) 建模进行了审查，主要关注分析模型。执行有限元模拟以评估不同材料条件下的每个分析模型。除了 Wiener 和 Hashin-Shtrikman 界限外，还将模型预测与从有限元预测中获得的预期结果进行比较。最后，