Numerical Simulation for Thermal Shock Resistance of Thermal Protection Materials Considering Different Operating Environments

Table 1

Temperature-dependent material properties of HfB₂.

Material parameters	Values and expressions
𝑇𝑚 (°C)	3400
𝐸 (GPa)	𝐸=𝐸0−𝐵𝑇𝑒^−𝑇𝑚/𝑇+𝐵1(𝑇−𝐵2𝑇𝑚+𝑇−𝐵2𝑇𝑚)𝑒^−𝑇𝑚/𝑇
𝐸0, 𝐵0, 𝐵1, 𝐵2	441, 2.54, 1.9, 0.363
𝛼 (°C^−1)	(2ln(𝑇)−5)×10^−6
𝑘 (W·(m·°C)^−1)	– 8.3455 × ln(T) + 127.68
𝜈	0.12
𝐶𝑝(T) (cal/mol)	73.346+7.824×10^−3𝑇−2.301×10^6𝑇^2
𝜌 (g·cm^−3)	10.5