Developed specifically for high-pressure shock physics. It assumes the yield strength and shear modulus increase with pressure (pressure hardening) and decrease with temperature (thermal softening) up to the melting point.
This demonstrates that high-pressure of selected materials often diverge from ideal EOS predictions due to microstructural evolution (grain growth, recrystallization).
For applications like high-speed machining and nuclear reactor components, refractory metals and novel alloys must maintain their strength under extreme pressures, temperatures, and strain rates. equation of state and strength properties of selected
The most widely used form for solids:
Various structural steels, beryllium, and ceramics like tungsten carbide. Developed specifically for high-pressure shock physics
The separation of EOS (volumetric) and strength (deviatoric) is a pragmatic convenience, not a physical reality. At high pressure, both derive from the same interatomic potential. Selected materials reveal that:
Depending on the pressure regime and material type, scientists utilize different analytical models: At high pressure, both derive from the same
For decades, the —a thermodynamic relation between pressure, volume, and temperature (P-V-T)—was treated separately from strength properties (resistance to plastic deformation, fracture, and shear). However, under dynamic loading (e.g., ballistic impact, planetary accretion, or explosive forming), these properties are intimately coupled. A material's compressive response influences its shear strength, and its strength affects the onset of melting and phase transitions.