| Material | EOS Type | Key Parameters | Applicable Range | |----------|----------|----------------|------------------| | Copper (Cu) | Mie-Grüneisen + Shock Hugoniot | (C_0 = 3.94 , \textkm/s), (S = 1.49), (\Gamma_0 = 1.99) | 0–1000 GPa | | Tantalum (Ta) | Mie-Grüneisen + Tabular SESAME | (C_0 = 3.43 , \textkm/s), (S = 1.19), (\Gamma_0 = 1.60) | 0–500 GPa | | Silicon Carbide (SiC) | Polynomial + P-α (porosity) | (K_0 = 220 , \textGPa), (K' = 4.0), (\rho_0 = 3.21 , \textg/cm^3) | 0–300 GPa | | Quartzite (SiO₂) | Mie-Grüneisen + phase change | (C_0 = 3.70 , \textkm/s), (S = 1.38), coesite/stishovite transition at ~12 GPa | 0–100 GPa | | Dry Sand | P-α (porous compaction) | Initial porosity ( \alpha_0 = 1.5–1.8), compaction pressure (P_c \sim 0.1–1 , \textGPa) | 0–10 GPa |
Note: (C_0) and (S) are linear Hugoniot parameters ((U_s = C_0 + S u_p)). (\Gamma_0) is the Grüneisen parameter at ambient density. equation of state and strength properties of selected
Tungsten is a refractory metal with extremely high density and melting point. | Material | EOS Type | Key Parameters
The Grüneisen EOS links temperature to pressure: [ P_thermal = \frac\gammaV E_th ] As temperature rises (under shock or fast deformation), strength drops. If melting occurs (indicated by a break in the EOS, e.g., volume change), shear strength vanishes – a critical transition for planetary core studies. Note: (C_0) and (S) are linear Hugoniot parameters
Below are concise, practical summaries focused on use in engineering decisions. Values are indicative ranges; always consult material datasheets or test data for specific grades and conditions.