*EOS

Specify an equation of state model.

This option is used to define a hydrodynamic material model in the form of an equation of state.

This page discusses:

See Also
In Other Guides
Equation of State

ProductsAbaqus/ExplicitAbaqus/CAE

TypeModel data

LevelModel

Abaqus/CAEProperty module

Required parameters

TYPE

Set TYPE=IDEAL GAS for an ideal gas equation of state.

Set TYPE=IGNITION AND GROWTH for an ignition and growth equation of state; if this equation of state is used, the REACTION RATE option and the GAS SPECIFIC HEAT option are required.

Set TYPE=JWL for an explosive equation of state; if this equation of state is used, the DETONATION POINT option is required.

Set TYPE=TABULAR for a tabulated equation of state that is linear in energy.

Set TYPE=USER for a user-defined equation of state that is defined in user subroutine VUEOS.

Set TYPE=USUP for a linear Us-Up equation of state.

Optional parameters

DETONATION ENERGY

This parameter can be used only in combination with TYPE=IGNITION AND GROWTH.

Set this parameter equal to the energy of detonation. The default value is 0.0.

PROPERTIES

This parameter can be used only if the USER parameter is specified.

Set this parameter equal to the number of property values needed as data in user subroutine VUEOS. The default value is 0.

Data line for an ideal gas equation of state (TYPE=IDEAL GAS)

First (and only) line
  1. Gas constant, R. (Units of JM−1θ−1.)

  2. The ambient pressure, pA (Units of FL−2). If this field is left blank, a default of 0.0 is used.

Data lines for an ignition and growth equation of state (TYPE=IGNITION AND GROWTH)

First line

Material constants used in the equation of state for unreacted explosive.

  1. As. (Units of FL−2.)

  2. Bs. (Units of FL−2.)

  3. ωs. (Dimensionless.)

  4. R1s. (Dimensionless.)

  5. R2s. (Dimensionless.)

Second line

Material constants used in the equation of state for reacted products.

  1. Ag. (Units of FL−2.)

  2. Bg. (Units of FL−2.)

  3. ωg. (Dimensionless.)

  4. R1g. (Dimensionless.)

  5. R2g. (Dimensionless.)

Data line for an explosive equation of state (TYPE=JWL)

First (and only) line
  1. Detonation wave speed, Cd. (Units of LT−1.)

  2. A. (Units of FL−2.)

  3. B. (Units of FL−2.)

  4. ω. (Dimensionless.)

  5. R1. (Dimensionless.)

  6. R2. (Dimensionless.)

  7. Detonation energy density, E0. (Units of JM−1.)

  8. Pre-detonation bulk modulus, Kpd. (Units of FL−2.)

Data line for a tabulated equation of state (TYPE=TABULAR), where the volumetric strain values must be arranged in descending order

First line
  1. f1. (Units of FL−2.)

  2. f2. (Dimensionless.)

  3. Volumetric strain εvol. (Dimensionless.)

Repeat this data line as often as necessary to define the dependence of f1 and f2 on volumetric strain.

Data line for a linear equation of state (TYPE=USUP)

First (and only) line
  1. c 0 , reference sound speed. (Units of LT−1.)

  2. s, slope of the U s U p curve. (Dimensionless.)

  3. Γ 0 , Grüneisen ratio. (Dimensionless.)

Data lines to define the material properties for a user-defined equation of state (TYPE=USER)

No data lines are needed if the PROPERTIES parameter is omitted or set to 0. Otherwise, first line
  1. Material properties, eight per line.

Repeat this data line as often as necessary to define the material properties.