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
U_{p} > VB and one at high shock compressions
defined by U_{p} < 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 c_{1}, c_{2}, s_{1}, s_{2}, VE/V_{o}, VB/V_{o}, Γ_{o} and ρ_{o}. 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 127: Input Data**

Name | Symbol | Units | Notes |
---|---|---|---|

Gruneisen coefficient | Γ | None | |

Parameter C1 | C_{1} | Velocity | |

Parameter S1 | S_{1} | None | |

Parameter C2 | C_{2} | Velocity | |

Parameter S2 | S_{2} | None | |

Relative Volume VB/V0 | VB/V_{0} | None | |

Relative Volume VE/V0 | VE/V_{0} | 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 |