Processing math: 100%

/EOS/LSZK

Block Format Keyword Describes the Landau-Stanyukovich-Zeldovich-Kompaneets EOS for detonation products.

Format

(1) (2) (3) (4) (5) (6) (7) (8) (9) (10)
/EOS/LSZK/mat_ID/unit_ID
eos_title
γ P0 Psh A b

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)

 
γ Heat capacity ratio γ=CpCv .

(Real)

 
P0 Initial pressure.

(Real)

[Pa]
Psh Pressure shift.

(Real)

[Pa]
A EOS parameter.

(Real)

[Pa]
b EOS parameter.

(Real)

 

Example (Gas)

Comments

  1. The Landau-Stanyukovich-Zeldovich-Kompaneets EOS 1 for detonation products is:(1)
    P(ρ,e)=(γ1)ρe+aρb
    Where,
    ρ
    Density
    e
    Internal energy density by mass
    b
    Material parameters
    (2)
    μ=ρρ01=V0V1
    This leads to:(3)
    P(μ,E)=(γ1)(1+μ)E+A(1+μ)b
    Which is the form used by Radioss where,(4)
    A=aρ0b
    Where,
    E
    Internal energy by initial volume
    A and b
    Material parameters
  2. 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)
1
Needham, Charles E. Blast Waves. Springer, 2003
2
Lutzky, Morton. The Flow Field Behind a Spherical Detonation in TNT Using the Landau-Stanyukovich Equation of State for Detonation Products. No. NOLTR-64-40. Naval Ordance Lab White Oak, MD, 1964