Block Format Keyword
/MAT/LAW5 - Jones Wilkins-Lee Material
Description
This law describes the Jones-Wilkins-Lee EOS for detonation products of high explosives.
Format
(1)
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(2)
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(3)
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(4)
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(5)
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(6)
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(7)
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(8)
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(9)
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(10)
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/MAT/LAW5/mat_ID or /MAT/JWL/mat_ID
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mat_title
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A
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B
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R1
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R2
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D
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PCJ
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E0
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Eadd
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IBFRAC
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Insert if Eadd > 0
(1)
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(2)
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(3)
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(4)
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(5)
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(6)
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(7)
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(8)
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(9)
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(10)
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Tstart
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Tstop
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Field
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Contents
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SI Unit Example
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mat_ID
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Material identifier
(Integer, maximum 10 digits)
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mat_title
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Material title
(Character, maximum 100 characters)
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Initial density
(Real)
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Reference density used in E.O.S (equation of state)
Default = (Real)
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A
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A parameter of equation of state
(Real)
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B
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B parameter of equation of state
(Real)
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R1
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R1 parameter of equation of state
(Real)
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R2
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R2 parameter of equation of state
(Real)
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parameter of equation of state
(Real)
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D
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Detonation velocity
(Real)
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PCJ
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Chapman Jouguet pressure
(Real)
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E0
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Detonation energy per unit volume
(Real)
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Eadd
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Additional energy per unit volume
(Real)
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IBFRAC
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Burn fraction calculation flag (Comment 3)
(Integer)
= 0: Volumetric Compression + Burning Time
= 1: Volumetric Compression only
= 2: Burning Time only
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Tstart
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Start time for additional energy
(Real)
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Tstop
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Stop time for additional energy
(Real)
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#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/JWL/2
TNT - data from example 46
# RHO_I RHO_0
1.63 0
# A B R1 R2 OMEGA
3.7121 .0323 4.15 .95 .3
# D P_CJ E0 Eadd I_BFRAC
.693 .21 .07 0 0
#---1----|----2----|----3----|----4----|----5----|----6----|----7----|----8----|----9----|---10----|
#ENDDATA
#---1----|----2----|----3----|----4----|----5----|----6----|----7----|----8----|----9----|---10----|
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1. | |
Where, V is the relative volume:
E is the internal energy per unit initial volume:
and
Where, is the adiabatic constant.
2. | The Jones Wilkins Lee Material Law (Law 5) may be used as a boundary for Hydrodynamic Viscous Fluid Material (/MAT/LAW6) provided the flow direction is from Law 5 to Law 6 (simulation of an explosion), and the gas properties () are similar. Nevertheless this method is not the most accurate one and multi-material law (/MAT/LAW51) is recommended instead. |
3. | Detonation Velocity (D) and Chapman Jouget Pressure (PCJ) are used in the burn fraction calculation (). It controls the release of detonation energy and corresponds to a factor which multiplies JWL pressure. |
For a given time:
A lighting time, Tdet, is computed by the Starter from the detonation velocity. During the simulation the burn fraction is computed as follows:
Where,
It can take several cycles for the burn fraction to reach its maximum value of 1.00.
Burn fraction calculation can be changed defining IBFRAC flag:
IBFRAC = 1:
IBFRAC = 2:
4. | Time histories for detonation time and burn fraction are available through /TH/BRIC with keyword BFRAC. You can output a function, f, whose first value is detonation time (with opposite sign) and positive values corresponds to the burn fraction evolution. |
5. | Detonation times can be written in the Starter listing file for each JWL element. The printout flag (Ipri) must be greater than or equal to 3 (/IOFLAG). |
6. | If no detonation card is linked to the material, then instantaneous detonation will be assumed. |
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See Also:
Material Compatibility
Law Compatibility with Failure Model
Example 46 - TNT Cylinder Expansion