/MAT/LAW26 (SESAM)
Block Format Keyword This ALE material law describes a SESAME tabular EOS, used with a Johnson-Cook yield criterion.
SESAME EOS covers a wide range of phases including solids, fluids and high temperature/high density plasmas, and the well-known transitions between these various phases. It requires SESAME tables, which were developed at Los Alamos National Laboratory in USA.
Format
(1) | (2) | (3) | (4) | (5) | (6) | (7) | (8) | (9) | (10) |
---|---|---|---|---|---|---|---|---|---|
/MAT/LAW26/mat_ID or /MAT/SESAM/mat_ID | |||||||||
mat_title | |||||||||
E | |||||||||
a | b | n | |||||||
E0 | |||||||||
SESAM301 | |||||||||
c | m | Tmelt | Tmax |
(1) | (2) | (3) | (4) | (5) | (6) | (7) | (8) | (9) | (10) |
---|---|---|---|---|---|---|---|---|---|
SESAM505 | |||||||||
KLOR | A | Kmax | |||||||
SESAM502 | |||||||||
Definition
Field | Contents | SI Unit Example |
---|---|---|
mat_ID | Material identifier. (Integer, maximum 10 digits) |
|
mat_title | Material title. (Character, maximum 100 characters) |
|
Initial density. (Real) |
||
Reference density used in E.O.S (equation of
state). Default = (Real) |
||
E | Young's modulus. (Real) |
|
Poisson's ratio. (Real) |
||
a | Plasticity yield stress. (Real) |
|
b | Hardening hardening
parameter. (Real) |
|
n | Plasticity hardening exponent (must be ≤
1). Default = 1.0 (Real) |
|
Failure plastic strain. (Real) |
||
Maximum stress. (Real) |
||
E0 | Initial energy per unit
volume. (Real) |
|
SESAM301 | File name of the SESAME EOS
table (301). (Character, maximum 100 characters) |
|
c | Strain rate coefficient.
Default = 0.00 (Real) |
|
Reference strain rate. Default = 10-06 (Real) |
||
m | Temperature exponent. Default = 1.00 (Real) |
|
Tmelt | Melting temperature.
Default = 1030 (Real) |
|
Tmax | Maximum temperature. for T > Tmax: m = 1 is used. (Real) |
|
SESAM505 | File name of the SESAME table
(504). (Character, maximum 100 characters) |
|
KLOR | Lorentz conductivity. Default = 1.6833x10-9 (Real) |
|
Lamda. Default = 8.3x106 (Real) |
||
A | Atomic weight. (Real) |
|
Kmax | Maximum conductivity. (Real) |
|
SESAM502 | File name of the SESAME table
(502). (Character, maximum 100 characters) |
|
Stefan-Boltzman constant (equal to
5.6697x10-8). (Real) |
Example (Water)
#RADIOSS STARTER
#---1----|----2----|----3----|----4----|----5----|----6----|----7----|----8----|----9----|---10----|
#- 2. MATERIALS:
#---1----|----2----|----3----|----4----|----5----|----6----|----7----|----8----|----9----|---10----|
/MAT/LAW26/1
WATER - 560 K - 130 bars - Initially Liquid - Without Plastic Behavior (Unit: kg-mm-ms)
# RHO_I RHO_0
.00074 0
# Young Poisson
1.0E-20 0.0
# A B N EPSP_MAX SIG_MAX
1.0E+20 0.0 0.0 0.0 0.0
# E0
740.0
# SESAM301 TABLE
sesam--water_301.dat
# C EPS_DOT_0 M T_MELT T_MAX
0.0 0.0 0.0 0.0 0.0
# SESAM505 TABLE
sesam--water_505.dat
# XKL XLAMB ATOM XKMAX
0.0 0.0 0.0 0.0
# SESAM502 TABLE
sesam--water_502.dat
# SIG
0.0
#---1----|----2----|----3----|----4----|----5----|----6----|----7----|----8----|----9----|---10----|
#ENDDATA
/END
#---1----|----2----|----3----|----4----|----5----|----6----|----7----|----8----|----9----|---10----|
Comments
- The thermal conductivity flux
is:
(1) Where,- Ke
- Thermal conductivity
- KL
- Conductivity for a Lorentz gas
(2) With:(3) and(4) KLOR (Lorentz conductivity) is:(5) LAMBDA depends of the electronic temperature (Te), the electronic density (ne) and the coefficient :(6) (7) Where,- A
- Atomic weight
- NA
- Avogadro number NA = 6.0225 x 1023
- Z
- Atomic number obtained from the SESAME EOS table 504
- Density
- Te
- Electronic temperature obtained from the SESAME table
- The thermal radiation flux
is:
(8) With:(9) Where,- Stefan-Boltzmann constant
- LR
- Rosseland mean length obtained from the SESAME tables.
- (equivalent to T)
- Radiation temperature is obtained from the SESAME tables
- Files SESAM301, SESAM505, and SESAM502 are tabulated equations from analytical model selected to describe material state in different states. Most of SESAME tables are double entry tables (two variable functions). These tabulated EOS provide pressure and energy in function of density and temperature. Tables are interpolated in both directions. With Radioss the two variables are density and specific energy.
- /EOS/SESAM is able to handle SESAME tabulated EOS. This present material law also take into account Johnson-Cook yield criteria and conductive/radiative transports in potential plasma.