/MAT/LAW97 (JWLB)
Block Format Keyword This law describes the JonesWilkinsLeeBaker EOS for detonation products of high explosives.
Where, $v=\frac{V}{{V}_{0}}$ is relative volume and $E={\rho}_{0}e$ and ${A}_{i},{R}_{i},{A}_{\lambda i},{B}_{\lambda i},{R}_{\lambda i},\omega ,C$ are material parameters.
Format
(1)  (2)  (3)  (4)  (5)  (6)  (7)  (8)  (9)  (10) 

/MAT/LAW97/mat_ID/unit_ID or /MAT/JWLB/mat_ID/unit_ID  
mat_title  
${\rho}_{i}$  ${\rho}_{0}$  
P_{0}  p_{sh}  II_{BFRAC}  
D  P_{CJ}  E_{0}  $\omega $  C  
A_{5}  A_{2}  A_{3}  A_{4}  A_{5}  
R_{1}  R_{2}  R_{3}  R_{4}  R_{5}  
AL_{1}  AL_{2}  AL_{3}  AL_{4}  AL_{5}  
BL_{1}  BL_{2}  BL_{3}  BL_{4}  BL_{5}  
RL_{1}  RL_{2}  RL_{3}  RL_{4}  RL_{5} 
Definition
Field  Contents  SI Unit Example 

mat_ID  Material
identifier. (Integer, maximum 10 digits) 

unit_ID  Unit Identifier. (Interger, maximum 10 digits) 

mat_title  Material
title. (Character, maximum 100 characters) 

${\rho}_{i}$  Initial
density. (Real) 
$\left[\frac{\text{kg}}{{\text{m}}^{\text{3}}}\right]$ 
${\rho}_{0}$  Reference density used in
E.O.S (equation of state). Default = ${\rho}_{0}={\rho}_{i}$ (Real) 
$\left[\frac{\text{kg}}{{\text{m}}^{\text{3}}}\right]$ 
P_{0}  Initial
pressure (Real) 
$\left[\text{Pa}\right]$ 
P_{sh}  Pressure
shift (Real) 
$\left[\text{Pa}\right]$ 
I_{BFRAC}  Burn fraction calculation flag.
(Integer) 

D  Detonation
velocity. (Real) 
$\left[\frac{\text{m}}{\text{s}}\right]$ 
P_{CJ}  Chapman Jouguet
pressure. (Real) 
$\left[\text{Pa}\right]$ 
E_{0}  Detonation energy per unit
volume. (Real) 
$\left[\frac{\text{J}}{{\text{m}}^{\text{3}}}\right]$ 
$\omega $  Parameter of equation of
state. (Real) 

C  Parameter of equation of
state. (Real) 
$\left[\text{Pa}\right]$ 
A_{1}~A_{5}  Parameter of equation of
state. (Real) 
$\left[\text{Pa}\right]$ 
R_{1}~R_{5}  Parameter of equation of
state. (Real) 

AL_{1}~AL_{5}  Parameter of equation of
state. (Real) 

BL_{1}~BL_{5}  Parameter of equation of
state. (Real) 

RL_{1}~RL_{5}  Parameter of equation of
state. (Real) 
Example
#RADIOSS STARTER
#12345678910
/UNIT/1
unit for mat
g mm ms
#12345678910
/MAT/LAW97/7/1
JWLB  OCTOL 72/25
# RHO_I RHO_0
1.821 1.821
# P0 PSH IBFRAC
0 0 0
# D PCJ E0 W C
0.85381 .33755 .096034 .30731 .0104772
# A1 A2 A3 A4 A5
909.17 8.9469 .81495 0 0
# R1 R2 R3 R4 R5
15.941 5.4178 2.1956 0 0
# AL1 AL2 AL3 AL4 AL5
65.093 179.81 156.04 .78487 0
# BL1 BL2 BL3 BL4 BL5
0 0 0 0 0
# RL1 RL2 RL3 RL4 RL5
3.6906 4.52693 5.8014 .95864 0
/ALE/MAT/7/1
0
#12345678910
#enddata
Parameters
From Reference
Unit System is g, cm, ms, Mbar
PAX2  PAX2A  OCTOL 77/25  OCTOL 70/30  

${\rho}_{0}$  1.7370  1.770  1.821  1.803 
E_{0}  .086116  .090798  .096034  .093757 
D  .83460  .85173  .85381  .84120 
P_{CJ}  .30502  .32416  .33755  .32528 
A_{1}  909.13  909.14  909.17  549.98 
A_{2}  10.513  10.195  8.9469  5.8075 
A_{3}  .92253  .76191  .81495  .041638 
R_{1}  16.661  16.266  15.941  15.323 
R_{2}  5.9113  5.6415  5.4178  4.0477 
R_{3}  2.3618  2.1540  2.1956  .62665 
C  .011724  .011325  .0104772  .0058269 
$\omega $  .35956  .36989  .30731  .27665 
${A}_{\lambda 1}$  46.898  69.018  65.093  1.5621 
${A}_{\lambda 2}$  215.40  176.03  179.81  
${A}_{\lambda 3}$  270.22  163.48  156.04  
${A}_{\lambda 4}$  .88536  .76214  .78487  
${B}_{\lambda 1}$  .27665  
${R}_{\lambda 1}$  4.3128  4.0339  3.6906  1.0841 
${R}_{\lambda 2}$  5.7197  4.8830  4.52693  
${R}_{\lambda 3}$  7.318  6.5455  5.8014  
${R}_{\lambda 4}$  1.0892  1.0394  .95864 
Comments
 JWLB EOS is an updated model from JWL EOS. For further information about JWL parameters, refer to /MAT/LAW5 (JWL).
 JWLB EOS can be degenerated
into JWL EOS using:
$n=2$ ; C=0; ${A}_{\lambda i}={B}_{\lambda i}=0$