/EOS/TILLOTSON
Block Format Keyword Describes the Tillotson equation of state.
Format
(1) | (2) | (3) | (4) | (5) | (6) | (7) | (8) | (9) | (10) |
---|---|---|---|---|---|---|---|---|---|
/EOS/TILLOTSON/mat_ID/unit_ID | |||||||||
eos_title | |||||||||
C1 | C2 | a | b | ||||||
ER | ES | VS | E0 | ||||||
α |
Definition
Field | Contents | SI Unit Example |
---|---|---|
mat_ID | Material
identifier. (Integer, maximum 10 digits) |
|
Unit Identifier | Unit Identifier. (Integer, maximum 10 digits) |
|
eos_title | EOS title. (Character, maximum 100 characters) |
|
C1 | C1 coefficient
. (Real) |
|
C2 | C2
coefficient. (Real) |
|
a | A
coefficient. (Real) |
|
b | b
coefficient. (Real) |
|
ER | Internal energy per unit
reference volume . (Real) |
|
ES | Sublimation energy per
unit reference volume. (Real) |
|
VS | Sublimation relative
volume. (Real) |
|
E0 | Initial energy per unit
reference volume. (Real) |
|
Reference
density. Default = material density (Real) |
||
α | α coefficient. (Real) |
|
coefficient. (Real) |
Example (Aluminum)
#RADIOSS STARTER
#---1----|----2----|----3----|----4----|----5----|----6----|----7----|----8----|----9----|---10----|
/UNIT/1
unit for mat
g cm mus
#---1----|----2----|----3----|----4----|----5----|----6----|----7----|----8----|----9----|---10----|
#- 2. MATERIALS:
#---1----|----2----|----3----|----4----|----5----|----6----|----7----|----8----|----9----|---10----|
/MAT/HYD_JCOOK/1/1
Aluminium
# RHO_I RHO_0
2.8 0
# E nu
.734 .33
# A B n epsmax sigmax
.0024 .0042 .8 0 .0068
# Pmin
-.0223
# C EPS_DOT_0 M Tmelt Tmax
.062 1E-6 1 1220 0
# RHOCP T_r
2.59E-5 0
/EOS/TILLOTSON/1/1
Aluminium
# C1 C2 A B
.752 .65 .5 1.63
# ER ES VS E0 RHO_0
.135 .081 1.1 0 0
# ALPHA BETA
5 5
/FAIL/JOHNSON/3
# D1 D2 D3 D4 D5
.112 .123 -1.5 .007 0
# EPS_0 Ifail_sh Ifail_so Dadv Ixfem
1E-6 0 1 0 0
#---1----|----2----|----3----|----4----|----5----|----6----|----7----|----8----|----9----|---10----|
#ENDDATA
/END
#---1----|----2----|----3----|----4----|----5----|----6----|----7----|----8----|----9----|---10----|
Input Example
Material | g/cm3 | C1 | C2 | a | b | Er | α | Es | Vs | |
---|---|---|---|---|---|---|---|---|---|---|
Cu | 8.9 | 1.390 | 1.10 | 0.5 | 1.50 | 2.892 | 5 | 5 | 0.123 | 1.18 |
Fe | 7.8 | 1.279 | 1.05 | 0.5 | 1.50 | 0.741 | 5 | 5 | 0.190 | 1.21 |
Al | 2.7 | 0.752 | 0.65 | 0.5 | 1.63 | 0.135 | 5 | 5 | 0.081 | 1.10 |
Comments
- With
the specific volume
and E being the internal energy per unit reference volume.
The pressure is defined by:
Region 1:(1) with
Region 2: and(2) Region 3: , or and(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)