Processing math: 100%

/EOS/OSBORNE

Block Format Keyword Describes the Osborne Equation of State from R.K. Osborne, also called the “quadratic EOS”.

Format

(1) (2) (3) (4) (5) (6) (7) (8) (9) (10)
/EOS/OSBORNE/mat_ID/unit_ID
eos_title
A1 A2 B0 B1 B2
C0 C1 D0 P0  

Definition

Field Contents SI Unit Example
mat_ID Material identifier.

(Integer, maximum 10 digits)

 
unit_ID Unit Identifier.

(Integer, maximum 10 digits)

 
eos_title EOS title.

(Character, maximum 100 characters)

 
A1 Osborne parameter.

(Real)

[Pa2]
A2 Osborne parameter.

(Real)

[Pa2]
B0 Osborne parameter.

(Real)

[Pa]
B1 Osborne parameter.

(Real)

[Pa]
B2 Osborne parameter.

(Real)

[Pa]
C0 Osborne parameter.

(Real)

 
C1 Osborne parameter.

(Real)

 
D0 Osborne parameter.

(Real)

[Pa]
P0 Initial pressure.

(Real)

[Pa]

Table of Parameters

Here is a table of parameters for various material in unit system {g, cm, µs}
Material ρ0 A1 A2 B0 B1 B2 C0 C1 D0
Beryllium 1.845 0.9512 0.3453 0.9269 2.9484 0.5080 0.5644 0.6204 0.8
Boron 2.34 1.8212 4.3509 0.3764 0.3287 1.0801 0.5531 0.6346 .25
Graphite 2.25 0.1608 0.1619 0.8866 0.5140 1.4377 0.5398 0.5960 0.5
Magnesium 1.735 0.5665 0.3343 2.2178 0.8710 0.4814 0.4163 0.5390 1.5
Titanium 4.51 1.9428 0.6591 1.8090 2.6115 1.7984 0.4003 0.5182 1.8
Water 1.00 0.000384 0.001756 0.01312 0.06265 0.21330 0.5132 0.6761 0.02
Plexiglas 1.18 0.006199 0.015491 0.14756 0.05619 .050504 0.5575 0.6151 0.1
Polystyrene 1.04 0.038807 0.043646 0.77420 0.03610 0.46048 0.5443 0.6071 0.5
Polyethylene 0.913 0.007841 0.009766 0.19257 0.10257 0.31592 0.5748 0.6230 0.1
Micarta 1.39 0.016164 0.023579 0.34261 0.15107 0.43434 0.0540 0.0612 0.15
Silastic 1.43 0.004794 0.04684 0.33969 0.02377 0.50767 0.4925 0.5721 0.3
Aluminum 2.702 1.1867 0.7630 3.4448 1.5451 0.96430 0.43382 0.54873 1.5
Copper 8.90 4.9578 3.6884 7.4727 11.519 5.5251 0.39493 0.52883 3.6
Iron 7.86 7.78 31.18 9.591 15.676 4.634 0.3984 0.5306 9.0
Tungsten 19.17 21.67419 14.93338 10.195827 12.263234 9.6051515 0.33388437 0.48248861 7.0
Steel 7.9 4.9578323 3.6883726 7.4727361 11.519148 5.521138 0.39492613 0.52883412 3.6
Uranium 2.806 2.4562457 3.6883726 7.47361 11.519148 5.521138 0.39492613 0.52883412 0.6

Example (Aluminum)

Comments

  1. This equation of state is due to R.K. Osborne:(1)
    P(μ,E)=A1μ+A2μ|μ|+(B0+B1μ+B2μ2)E+(C0+C1μ)E2E+D0
    Where,
    E
    Internal energy by initial volume
    E=EintV0=ρ0e
    μ
    ρρ01
    A1,A2,B0,B1,B2,C0,C1,D0
    Constant parameters
  2. Initial pressure is used to compute E0 such that P(0,E0)=P0 .
  3. Equations of state are used by Radioss to compute the hydrodynamic pressure and are compatible with the material laws:
    • /MAT/LAW3 (HYDPLA)
    • /MAT/LAW4 (HYD_JCOOK)
    • /MAT/LAW6 (HYDRO or HYD_VISC)
    • /MAT/LAW10 (DPRAG1)
    • /MAT/LAW12 (3D_COMP)
    • /MAT/LAW49 (STEINB)
    • /MAT/LAW102 (DPRAG2)
    • /MAT/LAW103 (HENSEL-SPITTEL)