Defining an ignition and growth equation of state

This type of equation of state models shock initiation and detonation wave propagation for a solid high-explosive material. For more information, see Ignition and growth equation of state.

  1. Define an ignition and growth equation of state, as described in Defining an equation of state.”

  2. In the Detonation energy field, enter a value for Ed. The default value is 0.

  3. On the Solid Phase tabbed page, enter the following material constants for the unreacted solid explosive in the Data table:

    A and B

    Material constants A and B. (Units of FL−2.)

    omega, R1, and R2

    Material constants ω, R1, and R2. (Dimensionless.)

    For detailed information on how to enter data, see Entering tabular data.

  4. On the Gas Phase tabbed page, enter the following material constants for the reacted gas product in the Data table:

    A and B

    Material constants A and B. (Units of FL−2.)

    omega, R1, and R2

    Material constants ω, R1, and R2. (Dimensionless.)

    For detailed information on how to enter data, see Entering tabular data.

  5. On the Reaction Rate tabbed page, enter the following data in the Data table:

    I

    Initial pressure. (Units of T−1.)

    a

    Product covolume. (Dimensionless.)

    b

    Exponent on the unreacted fraction (ignition term). (Dimensionless.)

    x

    Exponent (ignition term). (Dimensionless.)

    G1

    First burn rate coefficient. (Units of T−1.)

    c

    Exponent on the unreacted fraction (growth term). (Dimensionless.)

    d

    Exponent on the reacted fraction (growth term). (Dimensionless.)

    y

    Pressure exponent (growth term). (Dimensionless.)

    G2

    Second burn rate coefficient. (Units of T−1.)

    e

    Exponent on the unreacted fraction (completion term). (Dimensionless.)

    g

    Exponent on the reacted fraction (completion term). (Dimensionless.)

    z

    Pressure exponent (completion term). (Dimensionless.)

    Fig(max)

    Initial reacted fraction, Figmax. (Dimensionless.)

    FG1(max)

    Maximum reacted fraction for the growth term, FG1max. (Dimensionless.)

    FG2(min)

    Minimum reacted fraction for the completion term, FG2min. (Dimensionless.)

    For detailed information on how to enter data, see Entering tabular data.

  6. On the Gas Specific tabbed page, enter specific heat data for the reacted gas product.

    1. Toggle on Use temperature-dependent data to define data that depend on temperature. A column labeled Temp appears in the Data table.
    2. Click the arrows to the right of the Number of field variables field to increase or decrease the number of field variables on which the data depend.
    3. Enter the following data in the Data table:

      Specific Heat

      Specific heat of the reacted gas product, per unit mass. (Units of JM−1θ−1.)

      Temp

      Temperature.

      Field n

      Predefined field variables.

      You may need to expand the dialog box to see all the columns in the Data table. For detailed information on how to enter data, see Entering tabular data.

  7. Click OK to create the material and to close the Edit Material dialog box. Alternatively, you can select another material behavior to define from the menus in the Edit Material dialog box (see Browsing and modifying material behaviors, for more information).