For a fuel element with such high heterogeneity, we have proposed a two-temperature homogenized model using the particle transport Monte Carlo method for the heat conduction problem. This model distinguishes between fuel-kernel and SiC matrix temperatures. Moreover, the obtained temperature profiles are more realistic than those of other models. | Steady - and transient state analyses of fully ceramic microencapsulated fuel with randomly dispersed tristructural isotropic particles via two temperature homogenized modeldi: theory and method