This is an extension of the Shock EOS Linear property. At high shock strengths nonlinearity in the shock velocity - particle velocity relationship is apparent, particularly for non-metallic materials. To account for this nonlinearity, the input calls for the definition of two linear fits to the shock velocity - particle velocity relationship; one at low shock compressions defined by v > VB and one at high shock compressions defined by v < VE.
The region between VE and VB is covered by a smooth interpolation between the two linear relationships as shown below.
In the input you are prompted for values of the parameters c1, c2, s1, s2, VE/Vo, VB/Vo, Γo and ρo. Then
Note: This equation of state can only be applied to solid bodies.
The Poisson's ratio is assumed to be zero when calculating effective strain.
A specific heat capacity should be defined with this property to allow the calculation of temperature.
Table 11.14: Input Data
| Name | Symbol | Units | Notes |
|---|---|---|---|
| Gruneisen coefficient | Γ | None | |
| Parameter C1 | C1 | Velocity | |
| Parameter S1 | S1 | None | |
| Parameter C2 | C2 | Velocity | |
| Parameter S2 | S2 | None | |
| Relative Volume VB/V0 | VB/V0 | None | |
| Relative Volume VE/V0 | VE/V0 | None |
This equation of state can only be used with solid elements.
Custom results variables available for this model:
| Name | Description | Solids | Shells | Beams |
|---|---|---|---|---|
| PRESSURE | Pressure | Yes | No | No |
| DENSITY | Density | Yes | No | No |
| COMPRESSION | Compression | Yes | No | No |
| VISC_PRESSURE | Viscous Pressure | Yes | No | No |
| INT_ENERGY | Internal Energy | Yes | No | No |
| TEMPERATURE | Temperature | Yes | No | No |