The isothermal EOS is often described by the Birch-Murnaghan equation (finite strain theory):
[ P = \frac3K_02 \left[ \left(\fracVV_0\right)^-7/3 - \left(\fracVV_0\right)^-5/3 \right] \cdot \left 1 + \frac34(K_0' - 4)\left[\left(\fracVV_0\right)^-2/3 - 1\right] \right ] equation of state and strength properties of selected
For shock compression (Hugoniot), the Rankine-Hugoniot relations combine mass, momentum, and energy conservation. The linear ( U_s - u_p ) relation is widely used: [ U_s = C_0 + S u_p ] where ( U_s ) is shock velocity, ( u_p ) is particle velocity, ( C_0 ) is bulk sound speed, and ( S ) is a material constant. **More physically based than JC, but requires more
We examine four material classes, each with distinct EOS-strength coupling challenges. T) ] where (P) is pressure
A complete EOS is typically written as: [ P = f(\rho, T) \quad \textor \quad P = f(V, T) ] where (P) is pressure, (\rho) is density, (V) is specific volume, and (T) is temperature.
The isothermal EOS is often described by the Birch-Murnaghan equation (finite strain theory):
[ P = \frac3K_02 \left[ \left(\fracVV_0\right)^-7/3 - \left(\fracVV_0\right)^-5/3 \right] \cdot \left 1 + \frac34(K_0' - 4)\left[\left(\fracVV_0\right)^-2/3 - 1\right] \right ]
For shock compression (Hugoniot), the Rankine-Hugoniot relations combine mass, momentum, and energy conservation. The linear ( U_s - u_p ) relation is widely used: [ U_s = C_0 + S u_p ] where ( U_s ) is shock velocity, ( u_p ) is particle velocity, ( C_0 ) is bulk sound speed, and ( S ) is a material constant.
We examine four material classes, each with distinct EOS-strength coupling challenges.
A complete EOS is typically written as: [ P = f(\rho, T) \quad \textor \quad P = f(V, T) ] where (P) is pressure, (\rho) is density, (V) is specific volume, and (T) is temperature.