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Decreasing a Shock Sensitivity of the HMX-based PBXs through the Morphology
Modification of the HMX-Constituents 1Igor Plaksin 1Ricardo Mendes 1Luis Rodrigues 1Svyatoslav Plaksin 1Claudia
Ferreira 1Andre Ferreira 1Eduardo Fernandes
2Michael Herrmann 2Thomas Heints and 2Hartmut Kroeber
sup1ADAI amp LEDAP ndash Assoc for Development of Industrial Aerodynamics amp Lab of Energetic and Detonics Dept Mech Engineering Dept Chem Engineering University of Coimbra
3030-788 Coimbra PORTUGAL sup2 ICT - Fraunhofer Institute of Chem Technology 76327 Pfinztal GERMANY
2013 INSENSITIVE MUNITIONS AND ENERGETIC MATERIALS TECHNOLOGY SYMPOSIUM Coronado Bay CA
October 7th-10th 2013
Paper 16285 igorplaksindemucpt
University of Coimbra Dept Mech Engineering
Assoc for Development of Industrial Aerodynamics
Lab of Energetic amp Detonics
ACKNOWLEDGEMENTS
Work was supported by Office of Naval Research and ONR Global under the ONR Grants N 00014-08-1-0096 0014-12-1-0477 and ONR-G 62909-12-1-7131 with Drs Clifford Bedford and Shawn Thorne as a Program Directors
Research efforts were supported in part by the European Defense Agency amp Portuguese MoD under the RSEM-Project Arrangement No B-0993-GEM2-GP (2012)
Experimental efforts on characterization of the RS-PBXs were conducted as a part of the WEAG Research Program ERG-114009 ldquoParticles Processing and Characterizationrdquo
Prof Pedro Simoes (Dept Chemical Engineering) and Prof Amilcar Romalho (Dept Mechanical Engineering of University of Coimbra) are cordially acknowledged for help in characterization of particlesrsquo density PSD and particlesrsquo morphology
Objective amp Technical Concept
bullMajor challenge bull to find a way for improving the insensitivity characteristics of the HMX-based PBX ingredients --coarse-grained HMX particles and ldquodirty binderrdquo and then
bull to apply RS-ingredients for elaboration of the HMX-based PBXs with the shock sensitivity comparable to TATB while keeping or even improving a detonation performance in comparison with the reference HMX-based PBXs
bull Exploring novel physically justified concept for designing the high performance RS-PBXs containing the HMX-filler in total amount up to 85 wt
Variety technological aspects on fabrication of the RS-HMX components are analyzed in a context of morphological properties of β-HMX particles
Eliminating the nano-porous (defective and sensitive) layer of HMX-particles provides a way for decreasing shock reactivity amp initiation sensitivity Idea for Chemical etching amp Light-reflective coating of HMX grains
β-HMX Coarse Particles applied for PBX fabrication Morphology amp Density
ldquoRef HMX(114microm)rdquo particles HMX Class-6 military grade (Dyno Nobel) Mono-modal PSD d 50 =114408 microm ρ0 = 1881plusmn0006 gcmsup3 ldquoRC-HMX(1309microm)rdquo particles Fraunhofer ICT Re-crystallization of the ldquoRef HMX(114microm)rdquo in the propylene-carbonate solution Mono-modal PSD d50 =130925 microm ρ0 = 1892plusmn0006 gcmsup3
ldquoRef HMX(114 microm)rdquo ldquoRC-HMX(1309 microm)rdquo
bullDensity measurements standard helium and liquid pycnometry bullPSD analyzers bullMalvern Mastersizer 2000
Outer layer represent a continuum the cluster-type substructures spaced by dislocation pits cracks and fissures Clusters are max concentrated in vertexes amp edges Surface layer the average density = 186 gcmsup3
β-HMX Fine amp UF-Particles applied for PBX fabrication Morphology and Density
rdquoF-HMX (111 microm)rdquo particles Fraunhofer ICT applied a ldquoRotor-Stator Millingrdquo technology for comminuting particles ldquoRef HMX (114microm)rdquo as a row material Mono-modal PSD d 50 = 1106 microm ρ0 = 1874plusmn0008 gcmsup3
ldquoF HMX-PCA (76 microm)rdquo particles Obtained at Fraunhofer ICT using the supercritical fluid technology for precipitation from γ-butyro-lactone solution (Compressed Fluid Anti-solvent PCA) Bi-modal PSD at median size d 50 = 76 microm
0
2
4
6
8
01 1 10 100
q3 [m
m-1
]
Particle size d [mm]
HMX-PCA
PCA-product represents agglomerations of UF-particles (d50 asymp 03 microm) with asymp10 times larger particles
β-HMX UF-Particles applied for PBX fabrication Morphology and Density
ldquoUF-HMX (16 microm)rdquo Fraunhofer ICT applied the ldquoAnnular Gap Ball-Millrdquo technology for further comminuting the water slurry of rdquoF-HMX (111 microm)rdquo particles Mono-modal PSD d50 =164 microm ρ0 = 1933plusmn0005 gcmsup3 ldquoUF-HMX (06 microm)rdquo ρ0 = 1951plusmn0005 gcmsup3
0
2
4
6
8
10
0 0 1 10 100
Vo
lum
e [
]
Particle Size d [mm]
HMX-Ball Mill
001 01 1 10 100
1) surface clusters asymp ldquoUF-HMX (06 microm)rdquo 2) ldquoUF-HMX (16 microm)rdquo particles are almost free of substructures 3) ldquoUF-HMX (06 microm)rdquo particles have a maximal density 1951 gcmsup3
ldquoUF-HMX (06 microm)rdquo particles represent themselves original clusters separated from the crystalrsquos body at commuting
β-HMX Fine amp UF-Particles applied for PBX fabrication Morphology and Density
ldquoβ-HMX (1375 microm)rdquo crystalrsquos surface structure ldquoβ-HMX UF-particle (16 microm)rdquo
bullCluster structure of the surface layer bull05-1 microm-clusters are spaced by dislocation pits cracks and fissures of 2-4 nm-size
What is a realistic max density of β-HMX ndash Wersquove found ρ0 = 1951 gcmsup3
β-HMX crystal (5075 microm ρ0 =1893plusmn0012 gcmsup3 ) was splitted in median zone of the (0-1-0)-facet
β-HMX seed has a maximum packed molecular structure ρ0 = 195 ndash 196 gcmsup3 (ICT TNO Un Coimbra ρ0 = 1951 gcmsup3 WH Rinkenbach (1951) ρ0 = 196 gcmsup3 ) Outer layer represents a continuum the cluster-type substructures spaced by dislocation pits cracks and fissures The surface layer has the average density = 186 gcmsup3 Thickness of the outer cluster-shell in which the surface-defects are concentrated attains asymp20 of crystalrsquos cross-section or occupies roughly asymp 64 of its volume The defects-less ldquoseedrdquo has 195 gcmsup3-density and occupies asymp 36 of crystalrsquos volume
Relative volume of nanoscale-porosity υ of particles determined with respect to the voids-free
UF-HMX(06 microm)-particles υ = 100 times(1-ρ01951)
ldquoRef HMX(114 microm)rdquo
ldquoRC-HMX(1309 microm)rdquo
rdquo F-HMX (111 microm)rdquo
F-HMX PCA (76 microm)
ldquoUF-HMX (16 microm)rdquo
υ equiv 1
υ = 06 υ = 17
υ = 06 υ = 04
PBX
MFOP
shock
front
emission I0 ~ AT(t)4
transmitted radiance
Iτ = I0 - Iςα
scattering ldquoςrdquo amp
absorption ldquoαrdquo
reaction
spot
Z
-to
ES
C T
ho
mso
n
TS
N 5
06 N
Sp
ectr
al
ran
ge
450 n
m lt
λlt
850 n
m
ℓ-z(t)
SM
RS--PBAN-128
40 ns time
P(t
)-fi
eld
an
aly
zer
D(t)-analyzer
Spectral range 450 nm lt λ lt850 nm
Panoramic Multi-Channel Optical
Analyzer coupled with the ESC Thomson TSN
506 N
Multi-fiber Optical ProbePMMA-fibers Oslash250 microm
360 nm lt λ lt 850 nm
0
1
2
3
4
5
6
7
8
9
10
400 450 500 550 600 650 700 750 800 850 900
Att
en
ua
tio
n [d
Bm
]
Wave Length [nm]
Light intensity attenuation in the PG-S250-64 PMMA fibers(S-grade 250 microm-diameter)
Visible radiation 380 nm lt λ lt 760 nm
700600500400 800300
Near-infrared 760 nm lt λ lt 2500 nm
Ultra-violet 10 nm lt λ lt 400 nm
Multi-Channel Optical Analyzer MCOA-UC instrumented with optical fiber ribbon stacked optical monitor (SM) and ESC Thomson TSN 506N
Light intensity attenuation in optical fibers
Meso-scale probing of the 3D reaction zone structure temporal and spatial resolution 200 ps and 50-250 μm 96 independent registration channels Kinetic parameters time history of reaction radiance 360nm lt λ lt 850nm spectrum Sensitive to radiation from near-UV up to near-IR Dynamic parameters stress field (unlimited amplitude) in stacked optic monitor
Shock Reactivity vs Morphology and Density Kinetics RateReaction Radiance Test
HMX particles were bonded with HTPB and Epoxy binder in mass-ratios 8218 8515 amp 9010 Six samples Ǿ4x104mm tested simultaneously HMXEpoxy samples - voids-free PBX-charges of 99TMD -fabricated with use of slurry mixing low pressure pressing vacuum casting amp pressure curing in PMMA holder -HMXHTPB samples 96-98 TMD
Calibrated boosters induce P 0 = 19-20 GPa pressure in HMX particles of test
samples
P E -4AOslash25
detonator
Oslash 40steelP VC S A
350 microm
P VC S M
MF O P to E S C T homson T S N 506 N
B rass 15
T est samples oslash4 x 09
60
Z
Z
PVC SA
PVC SM
Bo
oste
ra
cc
ep
tor
MFOP
D
0 time 40 ns
UF-HMX (16 microm)
F-HMX (111 microm)
PMMA
SW input to samples
Shock motion in PVC SM
0
10
20
30
40
100 120 140 160 180 200 220
Str
es
s G
Pa
time ns
UF-HMX (16)
F-HMX (111)
PMMA
PBXb2 - PVC SA - HMX 85 15 HTPB (900microm) - PVC SM
24 ns-precursors caused by radiation
absorption
dP P = 015
0 time 40 ns Shock motion in PVC SM
Ref HMX (114 microm)
SW in
put t
o sa
mpl
es
UF-HMX (16 microm)
F-HMX PCA (76 microm)
PBX b2 ndash PVC SA ndash P 8515 HTPB (1010 microm) ndash PVC SM induced shock in HMX particles P0 = 197 GPa
0
10
20
30
40
50
120 140 160 180 200 220
P H
E(G
Pa
)
time (ns)
HMX Ref HTPB
20 ns-precursor
Major front output
R = (ΔIΔt)OC (ΔIΔt)OA = 26 04
0
4000
8000
12000
40 80 120 160
time ns
Rad
iati
on
In
ten
sit
y [
Arb
itra
ry u
nit
s]
HMX ref -- F3
HMX ref -- F2
HMX ref -- F1
HMX ref aver
O
A
C
Major front output
Shock input
B
R = (ΔIΔt)OC (ΔIΔt)OA = 22
Kinetics RateReaction Radiance Test Basic Concept
Absolute shock reactivity value R at P0-initiation pressure is determined for each i-acceptor as a ratio between mean rate of full radiation growth and the initial rate of the reaction light growth
R = [(I final ndash I initial)(t final ndash t initial)]mean( ΔI0Δt0)mean
0
10000
20000
30000
40000
50000
0 50 100 150 200 250time (ns)
P05-F1
P05-F2
P05-F3
P05
Ra
dia
tio
n in
ten
sit
y
I (a
rbit
rary
un
its
)
Major front output
SW input
O
C
O1
AB
R = (ΔIΔt)OC (ΔIΔt)O1-A = 06
5000
15000
25000
35000
45000
0 50 100 150 200 250 300
time (ns)
Channel 1
Channel 2
Channel 3
SW input 21 ns
Major front outputPrecursor output
Ra
dia
tio
n in
ten
sit
y
I (a
rbit
rary
un
its
)
SW motion in PVC SM
A
O
B C
(ΔIΔt)OA = 78 ns-1
(ΔIΔt)OC = 206 ns-1
R = (ΔIΔt)OC (ΔIΔt)OA = 26 04
PBX b2 - ldquoUF-HMX (16 microm) 8518 HTPBrdquo-PVC SM 985 microm-sample
PBX b2 ndash ldquoF-HMX (1106 microm) 8518 HTPBrdquo-PVC SM 985 microm-sample
10000
15000
20000
25000
30000
35000
100 150 200 250 300
time (ns)
P03-F1
P03-F2
P03-F3
P03
PBXb2 - KSA - P 8515 Epoxy(985um) - KSM
Major front outputSW input
C
A B
R = (ΔIΔt)OC (ΔIΔt)OA = 06
Ra
dia
tio
n in
ten
sit
y
I (a
rbit
rary
un
its
)
O
PBX b2 ndash ldquoRC-HMX (1309 microm) 8518 HTPBrdquo-KSM 985 microm-sample
KRRR Test data
Detonation Failure Cone Test Determination of Detonation Failure Diameter
2
4
6
8
10
12
14
16
14 16 18 2 22 24 26 28 3 32 34
D lo
cal
(mm
us)
OslashPBX (mm)
HMX(165 plusmn 15 microm) 8218 wt HTPB
Detonation failure Oslash f = 165 mm
2
4
6
8
10
12
2 25 3 35 4 45 5
D lo
cal
(mm
us)
OslashPBX (mm)
UF-HMX(d 50 = 16 microm) 8515 HTPB
Detonation failure Oslash f = 220 mm
20
40
60
80
100
30 40 50 60 70
D [m
mm
s]
f [mm]
RC-HMX (1309 um)UF-HMX (164 um)HTPB = 06560164018
d f = 40 mm
time 200 ns between marks
Detonation Failure Cone Test Determination of Detonation Failure diameter
UF-HMX (16 microm) 8515 HTPB
The RS-PBX ldquoRC-HMXUF-HMXHTPB 65616418 wtrdquo is possessing the Detonation Failure diameter on the level of the purified TATB explosive material of 097 TMD (LASL data)
ID - HMX particles d50 dmin amp dmax ρ0 [gcm3] nano-Porosity
υ [vol ]
R Shock
Reactivity
Failure diam df
[mm]
Relative Shock
Sensitivity S
HMX ref (114408 um) 1877plusmn 0005 37 22 na equiv1 RC-HMX (1309 um) 1895plusmn 0007 29 06 na 03 F-HMX (1106 um) 1874plusmn0008 39 26 na 12
UF-HMX (Ball Milled) d50 = 164 um 19330005 09 04 22 02 F-HMX PCA 76 um 1939 06 1 na 05
HMX (420-595 um) 1893plusmn0012 3 13 252 06 HMX (180-210 um) na na na 155 na HMX (150-180 um) 1896 28 065 165 03 HMX (125-150 um) 1899plusmn0001 27 043 na 02
HMX (63-90 um) na na na 155 na HMX (45-53 um) 1886plusmn 0019 33 14 138 06
Fractions of HMX Class-3 particles
Shock Reactivity of PBXs vs HMX-particles Morphology Data Summary for PBXs ldquoHMX (82-85 wt )Epoxyrdquo amp ldquoHMX (85-90 wt )Epoxyrdquo
y = 17664x - 43158Rsup2 = 09622
0
05
1
15
2
25
3
0 05 1 15 2 25 3 35 4 45
Sh
oc
k R
ea
cti
vit
y R
(A
bs
olu
te v
alu
es
)
nano-voids in HMX particles υ (vol )
F-HMX 1106 microm
HMX (45-53 microm)HMX (420-595 microm)
RC-HMX 1309 microm
HMX (125-150 microm)UF-HMX 164 microm (BM)
F-HMX 76 microm (PCA) HMX (150-180 microm)
Shock Reactivity of PBXs vs nano-porosity of HMX particles Data Summary for PBXs ldquoHMX (82-85 wt )Epoxyrdquo (096-098TMD) amp ldquoHMX (85-90
wt )Epoxyrdquo (099TMD)
Agglomeration of particles causes
increase of shock reactivity
0
05
1
15
2
25
3
0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180
Sh
oc
k R
ea
cti
vit
y R
(A
bs
olu
te
HMX particle sizes d 50 (microm)
F-HMX 1106 microm
RC-HMX 1309 microm
UF-HMX 164 microm (BM)
F-HMX 76 microm (PCA)HMX (150-180 microm)
HMX Ref 1144 microm
HMX 8515 HTPB ρ0 asymp 096 TMD
Shock Reactivity of PBXs vs HMX-particle size Data Summary for PBXs ldquoHMX (82-85 wt )Epoxyrdquo amp ldquoHMX (85-90 wt )Epoxyrdquo
Re-crystallization of particles provides decrease of shock
reactivity in 37 times
1
12
14
16
18
2
22
24
0 100 200 300 400 500 600
UF-HMX (Ball Mill) 164 um
HMX (420-595 um)
HMX (180-210 um)
HMX (150-180 um)
HMX (63-90 um)
HMX (45-53 um)
d failure vs HMX particle size
HMX particle sizes d (microm)
De
ton
ati
on
Failu
re D
iam
ete
r d
f (micro
m)
Detonation failure diameter of PBXs vs HMX-particle sizes Data Summary for PBXs ldquoHMX (82-85 wt )Epoxyrdquo amp ldquoHMX (85-90 wt )Epoxyrdquo
Conclusive Remarks
Kinetic RateReaction Radiance Test and Detonation Failure Cone Test both instrumented with Multi-Channel Optical Analyzer MCOA-UC produce quantitative data on reaction rate in PBX-samples subjected to shock or detonation
Very small amount of test material (KR-RR Test 20mg Detonation Failure Test 800 mg) is required for tailoring PBXs on shock sensitivity
Role of HMX-particles morphology in shock sensitivity of PBXs is quantitatively described
Basic ldquomorphological factorrdquo determining a shock reactivity of HMX-particles is a nano-porosity of crystalline structure of the particlersquos surface layer
HMX-particles of micronsubmicron size demonstrate a shock reactivity in 5-7 times lesser than larger particles having 100-10microm sizes Experimental data are in good correlation with Kenneth Grahamrsquos results
In this context shock reactivity data strongly support the idea to minimize the amount of the surface micro-defects via the re-crystallization or comminuting particles up to the 05-1 microm-size
PBX-formulations composed with the re-crystallized particles a micron-size particles and HTPB in ratio 65616418 wt rdquo is possessing the insensitivity to shock on the level of the TATB
ACKNOWLEDGEMENTS
Work was supported by Office of Naval Research and ONR Global under the ONR Grants N 00014-08-1-0096 0014-12-1-0477 and ONR-G 62909-12-1-7131 with Drs Clifford Bedford and Shawn Thorne as a Program Directors
Research efforts were supported in part by the European Defense Agency amp Portuguese MoD under the RSEM-Project Arrangement No B-0993-GEM2-GP (2012)
Experimental efforts on characterization of the RS-PBXs were conducted as a part of the WEAG Research Program ERG-114009 ldquoParticles Processing and Characterizationrdquo
Prof Pedro Simoes (Dept Chemical Engineering) and Prof Amilcar Romalho (Dept Mechanical Engineering of University of Coimbra) are cordially acknowledged for help in characterization of particlesrsquo density PSD and particlesrsquo morphology
Objective amp Technical Concept
bullMajor challenge bull to find a way for improving the insensitivity characteristics of the HMX-based PBX ingredients --coarse-grained HMX particles and ldquodirty binderrdquo and then
bull to apply RS-ingredients for elaboration of the HMX-based PBXs with the shock sensitivity comparable to TATB while keeping or even improving a detonation performance in comparison with the reference HMX-based PBXs
bull Exploring novel physically justified concept for designing the high performance RS-PBXs containing the HMX-filler in total amount up to 85 wt
Variety technological aspects on fabrication of the RS-HMX components are analyzed in a context of morphological properties of β-HMX particles
Eliminating the nano-porous (defective and sensitive) layer of HMX-particles provides a way for decreasing shock reactivity amp initiation sensitivity Idea for Chemical etching amp Light-reflective coating of HMX grains
β-HMX Coarse Particles applied for PBX fabrication Morphology amp Density
ldquoRef HMX(114microm)rdquo particles HMX Class-6 military grade (Dyno Nobel) Mono-modal PSD d 50 =114408 microm ρ0 = 1881plusmn0006 gcmsup3 ldquoRC-HMX(1309microm)rdquo particles Fraunhofer ICT Re-crystallization of the ldquoRef HMX(114microm)rdquo in the propylene-carbonate solution Mono-modal PSD d50 =130925 microm ρ0 = 1892plusmn0006 gcmsup3
ldquoRef HMX(114 microm)rdquo ldquoRC-HMX(1309 microm)rdquo
bullDensity measurements standard helium and liquid pycnometry bullPSD analyzers bullMalvern Mastersizer 2000
Outer layer represent a continuum the cluster-type substructures spaced by dislocation pits cracks and fissures Clusters are max concentrated in vertexes amp edges Surface layer the average density = 186 gcmsup3
β-HMX Fine amp UF-Particles applied for PBX fabrication Morphology and Density
rdquoF-HMX (111 microm)rdquo particles Fraunhofer ICT applied a ldquoRotor-Stator Millingrdquo technology for comminuting particles ldquoRef HMX (114microm)rdquo as a row material Mono-modal PSD d 50 = 1106 microm ρ0 = 1874plusmn0008 gcmsup3
ldquoF HMX-PCA (76 microm)rdquo particles Obtained at Fraunhofer ICT using the supercritical fluid technology for precipitation from γ-butyro-lactone solution (Compressed Fluid Anti-solvent PCA) Bi-modal PSD at median size d 50 = 76 microm
0
2
4
6
8
01 1 10 100
q3 [m
m-1
]
Particle size d [mm]
HMX-PCA
PCA-product represents agglomerations of UF-particles (d50 asymp 03 microm) with asymp10 times larger particles
β-HMX UF-Particles applied for PBX fabrication Morphology and Density
ldquoUF-HMX (16 microm)rdquo Fraunhofer ICT applied the ldquoAnnular Gap Ball-Millrdquo technology for further comminuting the water slurry of rdquoF-HMX (111 microm)rdquo particles Mono-modal PSD d50 =164 microm ρ0 = 1933plusmn0005 gcmsup3 ldquoUF-HMX (06 microm)rdquo ρ0 = 1951plusmn0005 gcmsup3
0
2
4
6
8
10
0 0 1 10 100
Vo
lum
e [
]
Particle Size d [mm]
HMX-Ball Mill
001 01 1 10 100
1) surface clusters asymp ldquoUF-HMX (06 microm)rdquo 2) ldquoUF-HMX (16 microm)rdquo particles are almost free of substructures 3) ldquoUF-HMX (06 microm)rdquo particles have a maximal density 1951 gcmsup3
ldquoUF-HMX (06 microm)rdquo particles represent themselves original clusters separated from the crystalrsquos body at commuting
β-HMX Fine amp UF-Particles applied for PBX fabrication Morphology and Density
ldquoβ-HMX (1375 microm)rdquo crystalrsquos surface structure ldquoβ-HMX UF-particle (16 microm)rdquo
bullCluster structure of the surface layer bull05-1 microm-clusters are spaced by dislocation pits cracks and fissures of 2-4 nm-size
What is a realistic max density of β-HMX ndash Wersquove found ρ0 = 1951 gcmsup3
β-HMX crystal (5075 microm ρ0 =1893plusmn0012 gcmsup3 ) was splitted in median zone of the (0-1-0)-facet
β-HMX seed has a maximum packed molecular structure ρ0 = 195 ndash 196 gcmsup3 (ICT TNO Un Coimbra ρ0 = 1951 gcmsup3 WH Rinkenbach (1951) ρ0 = 196 gcmsup3 ) Outer layer represents a continuum the cluster-type substructures spaced by dislocation pits cracks and fissures The surface layer has the average density = 186 gcmsup3 Thickness of the outer cluster-shell in which the surface-defects are concentrated attains asymp20 of crystalrsquos cross-section or occupies roughly asymp 64 of its volume The defects-less ldquoseedrdquo has 195 gcmsup3-density and occupies asymp 36 of crystalrsquos volume
Relative volume of nanoscale-porosity υ of particles determined with respect to the voids-free
UF-HMX(06 microm)-particles υ = 100 times(1-ρ01951)
ldquoRef HMX(114 microm)rdquo
ldquoRC-HMX(1309 microm)rdquo
rdquo F-HMX (111 microm)rdquo
F-HMX PCA (76 microm)
ldquoUF-HMX (16 microm)rdquo
υ equiv 1
υ = 06 υ = 17
υ = 06 υ = 04
PBX
MFOP
shock
front
emission I0 ~ AT(t)4
transmitted radiance
Iτ = I0 - Iςα
scattering ldquoςrdquo amp
absorption ldquoαrdquo
reaction
spot
Z
-to
ES
C T
ho
mso
n
TS
N 5
06 N
Sp
ectr
al
ran
ge
450 n
m lt
λlt
850 n
m
ℓ-z(t)
SM
RS--PBAN-128
40 ns time
P(t
)-fi
eld
an
aly
zer
D(t)-analyzer
Spectral range 450 nm lt λ lt850 nm
Panoramic Multi-Channel Optical
Analyzer coupled with the ESC Thomson TSN
506 N
Multi-fiber Optical ProbePMMA-fibers Oslash250 microm
360 nm lt λ lt 850 nm
0
1
2
3
4
5
6
7
8
9
10
400 450 500 550 600 650 700 750 800 850 900
Att
en
ua
tio
n [d
Bm
]
Wave Length [nm]
Light intensity attenuation in the PG-S250-64 PMMA fibers(S-grade 250 microm-diameter)
Visible radiation 380 nm lt λ lt 760 nm
700600500400 800300
Near-infrared 760 nm lt λ lt 2500 nm
Ultra-violet 10 nm lt λ lt 400 nm
Multi-Channel Optical Analyzer MCOA-UC instrumented with optical fiber ribbon stacked optical monitor (SM) and ESC Thomson TSN 506N
Light intensity attenuation in optical fibers
Meso-scale probing of the 3D reaction zone structure temporal and spatial resolution 200 ps and 50-250 μm 96 independent registration channels Kinetic parameters time history of reaction radiance 360nm lt λ lt 850nm spectrum Sensitive to radiation from near-UV up to near-IR Dynamic parameters stress field (unlimited amplitude) in stacked optic monitor
Shock Reactivity vs Morphology and Density Kinetics RateReaction Radiance Test
HMX particles were bonded with HTPB and Epoxy binder in mass-ratios 8218 8515 amp 9010 Six samples Ǿ4x104mm tested simultaneously HMXEpoxy samples - voids-free PBX-charges of 99TMD -fabricated with use of slurry mixing low pressure pressing vacuum casting amp pressure curing in PMMA holder -HMXHTPB samples 96-98 TMD
Calibrated boosters induce P 0 = 19-20 GPa pressure in HMX particles of test
samples
P E -4AOslash25
detonator
Oslash 40steelP VC S A
350 microm
P VC S M
MF O P to E S C T homson T S N 506 N
B rass 15
T est samples oslash4 x 09
60
Z
Z
PVC SA
PVC SM
Bo
oste
ra
cc
ep
tor
MFOP
D
0 time 40 ns
UF-HMX (16 microm)
F-HMX (111 microm)
PMMA
SW input to samples
Shock motion in PVC SM
0
10
20
30
40
100 120 140 160 180 200 220
Str
es
s G
Pa
time ns
UF-HMX (16)
F-HMX (111)
PMMA
PBXb2 - PVC SA - HMX 85 15 HTPB (900microm) - PVC SM
24 ns-precursors caused by radiation
absorption
dP P = 015
0 time 40 ns Shock motion in PVC SM
Ref HMX (114 microm)
SW in
put t
o sa
mpl
es
UF-HMX (16 microm)
F-HMX PCA (76 microm)
PBX b2 ndash PVC SA ndash P 8515 HTPB (1010 microm) ndash PVC SM induced shock in HMX particles P0 = 197 GPa
0
10
20
30
40
50
120 140 160 180 200 220
P H
E(G
Pa
)
time (ns)
HMX Ref HTPB
20 ns-precursor
Major front output
R = (ΔIΔt)OC (ΔIΔt)OA = 26 04
0
4000
8000
12000
40 80 120 160
time ns
Rad
iati
on
In
ten
sit
y [
Arb
itra
ry u
nit
s]
HMX ref -- F3
HMX ref -- F2
HMX ref -- F1
HMX ref aver
O
A
C
Major front output
Shock input
B
R = (ΔIΔt)OC (ΔIΔt)OA = 22
Kinetics RateReaction Radiance Test Basic Concept
Absolute shock reactivity value R at P0-initiation pressure is determined for each i-acceptor as a ratio between mean rate of full radiation growth and the initial rate of the reaction light growth
R = [(I final ndash I initial)(t final ndash t initial)]mean( ΔI0Δt0)mean
0
10000
20000
30000
40000
50000
0 50 100 150 200 250time (ns)
P05-F1
P05-F2
P05-F3
P05
Ra
dia
tio
n in
ten
sit
y
I (a
rbit
rary
un
its
)
Major front output
SW input
O
C
O1
AB
R = (ΔIΔt)OC (ΔIΔt)O1-A = 06
5000
15000
25000
35000
45000
0 50 100 150 200 250 300
time (ns)
Channel 1
Channel 2
Channel 3
SW input 21 ns
Major front outputPrecursor output
Ra
dia
tio
n in
ten
sit
y
I (a
rbit
rary
un
its
)
SW motion in PVC SM
A
O
B C
(ΔIΔt)OA = 78 ns-1
(ΔIΔt)OC = 206 ns-1
R = (ΔIΔt)OC (ΔIΔt)OA = 26 04
PBX b2 - ldquoUF-HMX (16 microm) 8518 HTPBrdquo-PVC SM 985 microm-sample
PBX b2 ndash ldquoF-HMX (1106 microm) 8518 HTPBrdquo-PVC SM 985 microm-sample
10000
15000
20000
25000
30000
35000
100 150 200 250 300
time (ns)
P03-F1
P03-F2
P03-F3
P03
PBXb2 - KSA - P 8515 Epoxy(985um) - KSM
Major front outputSW input
C
A B
R = (ΔIΔt)OC (ΔIΔt)OA = 06
Ra
dia
tio
n in
ten
sit
y
I (a
rbit
rary
un
its
)
O
PBX b2 ndash ldquoRC-HMX (1309 microm) 8518 HTPBrdquo-KSM 985 microm-sample
KRRR Test data
Detonation Failure Cone Test Determination of Detonation Failure Diameter
2
4
6
8
10
12
14
16
14 16 18 2 22 24 26 28 3 32 34
D lo
cal
(mm
us)
OslashPBX (mm)
HMX(165 plusmn 15 microm) 8218 wt HTPB
Detonation failure Oslash f = 165 mm
2
4
6
8
10
12
2 25 3 35 4 45 5
D lo
cal
(mm
us)
OslashPBX (mm)
UF-HMX(d 50 = 16 microm) 8515 HTPB
Detonation failure Oslash f = 220 mm
20
40
60
80
100
30 40 50 60 70
D [m
mm
s]
f [mm]
RC-HMX (1309 um)UF-HMX (164 um)HTPB = 06560164018
d f = 40 mm
time 200 ns between marks
Detonation Failure Cone Test Determination of Detonation Failure diameter
UF-HMX (16 microm) 8515 HTPB
The RS-PBX ldquoRC-HMXUF-HMXHTPB 65616418 wtrdquo is possessing the Detonation Failure diameter on the level of the purified TATB explosive material of 097 TMD (LASL data)
ID - HMX particles d50 dmin amp dmax ρ0 [gcm3] nano-Porosity
υ [vol ]
R Shock
Reactivity
Failure diam df
[mm]
Relative Shock
Sensitivity S
HMX ref (114408 um) 1877plusmn 0005 37 22 na equiv1 RC-HMX (1309 um) 1895plusmn 0007 29 06 na 03 F-HMX (1106 um) 1874plusmn0008 39 26 na 12
UF-HMX (Ball Milled) d50 = 164 um 19330005 09 04 22 02 F-HMX PCA 76 um 1939 06 1 na 05
HMX (420-595 um) 1893plusmn0012 3 13 252 06 HMX (180-210 um) na na na 155 na HMX (150-180 um) 1896 28 065 165 03 HMX (125-150 um) 1899plusmn0001 27 043 na 02
HMX (63-90 um) na na na 155 na HMX (45-53 um) 1886plusmn 0019 33 14 138 06
Fractions of HMX Class-3 particles
Shock Reactivity of PBXs vs HMX-particles Morphology Data Summary for PBXs ldquoHMX (82-85 wt )Epoxyrdquo amp ldquoHMX (85-90 wt )Epoxyrdquo
y = 17664x - 43158Rsup2 = 09622
0
05
1
15
2
25
3
0 05 1 15 2 25 3 35 4 45
Sh
oc
k R
ea
cti
vit
y R
(A
bs
olu
te v
alu
es
)
nano-voids in HMX particles υ (vol )
F-HMX 1106 microm
HMX (45-53 microm)HMX (420-595 microm)
RC-HMX 1309 microm
HMX (125-150 microm)UF-HMX 164 microm (BM)
F-HMX 76 microm (PCA) HMX (150-180 microm)
Shock Reactivity of PBXs vs nano-porosity of HMX particles Data Summary for PBXs ldquoHMX (82-85 wt )Epoxyrdquo (096-098TMD) amp ldquoHMX (85-90
wt )Epoxyrdquo (099TMD)
Agglomeration of particles causes
increase of shock reactivity
0
05
1
15
2
25
3
0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180
Sh
oc
k R
ea
cti
vit
y R
(A
bs
olu
te
HMX particle sizes d 50 (microm)
F-HMX 1106 microm
RC-HMX 1309 microm
UF-HMX 164 microm (BM)
F-HMX 76 microm (PCA)HMX (150-180 microm)
HMX Ref 1144 microm
HMX 8515 HTPB ρ0 asymp 096 TMD
Shock Reactivity of PBXs vs HMX-particle size Data Summary for PBXs ldquoHMX (82-85 wt )Epoxyrdquo amp ldquoHMX (85-90 wt )Epoxyrdquo
Re-crystallization of particles provides decrease of shock
reactivity in 37 times
1
12
14
16
18
2
22
24
0 100 200 300 400 500 600
UF-HMX (Ball Mill) 164 um
HMX (420-595 um)
HMX (180-210 um)
HMX (150-180 um)
HMX (63-90 um)
HMX (45-53 um)
d failure vs HMX particle size
HMX particle sizes d (microm)
De
ton
ati
on
Failu
re D
iam
ete
r d
f (micro
m)
Detonation failure diameter of PBXs vs HMX-particle sizes Data Summary for PBXs ldquoHMX (82-85 wt )Epoxyrdquo amp ldquoHMX (85-90 wt )Epoxyrdquo
Conclusive Remarks
Kinetic RateReaction Radiance Test and Detonation Failure Cone Test both instrumented with Multi-Channel Optical Analyzer MCOA-UC produce quantitative data on reaction rate in PBX-samples subjected to shock or detonation
Very small amount of test material (KR-RR Test 20mg Detonation Failure Test 800 mg) is required for tailoring PBXs on shock sensitivity
Role of HMX-particles morphology in shock sensitivity of PBXs is quantitatively described
Basic ldquomorphological factorrdquo determining a shock reactivity of HMX-particles is a nano-porosity of crystalline structure of the particlersquos surface layer
HMX-particles of micronsubmicron size demonstrate a shock reactivity in 5-7 times lesser than larger particles having 100-10microm sizes Experimental data are in good correlation with Kenneth Grahamrsquos results
In this context shock reactivity data strongly support the idea to minimize the amount of the surface micro-defects via the re-crystallization or comminuting particles up to the 05-1 microm-size
PBX-formulations composed with the re-crystallized particles a micron-size particles and HTPB in ratio 65616418 wt rdquo is possessing the insensitivity to shock on the level of the TATB
Objective amp Technical Concept
bullMajor challenge bull to find a way for improving the insensitivity characteristics of the HMX-based PBX ingredients --coarse-grained HMX particles and ldquodirty binderrdquo and then
bull to apply RS-ingredients for elaboration of the HMX-based PBXs with the shock sensitivity comparable to TATB while keeping or even improving a detonation performance in comparison with the reference HMX-based PBXs
bull Exploring novel physically justified concept for designing the high performance RS-PBXs containing the HMX-filler in total amount up to 85 wt
Variety technological aspects on fabrication of the RS-HMX components are analyzed in a context of morphological properties of β-HMX particles
Eliminating the nano-porous (defective and sensitive) layer of HMX-particles provides a way for decreasing shock reactivity amp initiation sensitivity Idea for Chemical etching amp Light-reflective coating of HMX grains
β-HMX Coarse Particles applied for PBX fabrication Morphology amp Density
ldquoRef HMX(114microm)rdquo particles HMX Class-6 military grade (Dyno Nobel) Mono-modal PSD d 50 =114408 microm ρ0 = 1881plusmn0006 gcmsup3 ldquoRC-HMX(1309microm)rdquo particles Fraunhofer ICT Re-crystallization of the ldquoRef HMX(114microm)rdquo in the propylene-carbonate solution Mono-modal PSD d50 =130925 microm ρ0 = 1892plusmn0006 gcmsup3
ldquoRef HMX(114 microm)rdquo ldquoRC-HMX(1309 microm)rdquo
bullDensity measurements standard helium and liquid pycnometry bullPSD analyzers bullMalvern Mastersizer 2000
Outer layer represent a continuum the cluster-type substructures spaced by dislocation pits cracks and fissures Clusters are max concentrated in vertexes amp edges Surface layer the average density = 186 gcmsup3
β-HMX Fine amp UF-Particles applied for PBX fabrication Morphology and Density
rdquoF-HMX (111 microm)rdquo particles Fraunhofer ICT applied a ldquoRotor-Stator Millingrdquo technology for comminuting particles ldquoRef HMX (114microm)rdquo as a row material Mono-modal PSD d 50 = 1106 microm ρ0 = 1874plusmn0008 gcmsup3
ldquoF HMX-PCA (76 microm)rdquo particles Obtained at Fraunhofer ICT using the supercritical fluid technology for precipitation from γ-butyro-lactone solution (Compressed Fluid Anti-solvent PCA) Bi-modal PSD at median size d 50 = 76 microm
0
2
4
6
8
01 1 10 100
q3 [m
m-1
]
Particle size d [mm]
HMX-PCA
PCA-product represents agglomerations of UF-particles (d50 asymp 03 microm) with asymp10 times larger particles
β-HMX UF-Particles applied for PBX fabrication Morphology and Density
ldquoUF-HMX (16 microm)rdquo Fraunhofer ICT applied the ldquoAnnular Gap Ball-Millrdquo technology for further comminuting the water slurry of rdquoF-HMX (111 microm)rdquo particles Mono-modal PSD d50 =164 microm ρ0 = 1933plusmn0005 gcmsup3 ldquoUF-HMX (06 microm)rdquo ρ0 = 1951plusmn0005 gcmsup3
0
2
4
6
8
10
0 0 1 10 100
Vo
lum
e [
]
Particle Size d [mm]
HMX-Ball Mill
001 01 1 10 100
1) surface clusters asymp ldquoUF-HMX (06 microm)rdquo 2) ldquoUF-HMX (16 microm)rdquo particles are almost free of substructures 3) ldquoUF-HMX (06 microm)rdquo particles have a maximal density 1951 gcmsup3
ldquoUF-HMX (06 microm)rdquo particles represent themselves original clusters separated from the crystalrsquos body at commuting
β-HMX Fine amp UF-Particles applied for PBX fabrication Morphology and Density
ldquoβ-HMX (1375 microm)rdquo crystalrsquos surface structure ldquoβ-HMX UF-particle (16 microm)rdquo
bullCluster structure of the surface layer bull05-1 microm-clusters are spaced by dislocation pits cracks and fissures of 2-4 nm-size
What is a realistic max density of β-HMX ndash Wersquove found ρ0 = 1951 gcmsup3
β-HMX crystal (5075 microm ρ0 =1893plusmn0012 gcmsup3 ) was splitted in median zone of the (0-1-0)-facet
β-HMX seed has a maximum packed molecular structure ρ0 = 195 ndash 196 gcmsup3 (ICT TNO Un Coimbra ρ0 = 1951 gcmsup3 WH Rinkenbach (1951) ρ0 = 196 gcmsup3 ) Outer layer represents a continuum the cluster-type substructures spaced by dislocation pits cracks and fissures The surface layer has the average density = 186 gcmsup3 Thickness of the outer cluster-shell in which the surface-defects are concentrated attains asymp20 of crystalrsquos cross-section or occupies roughly asymp 64 of its volume The defects-less ldquoseedrdquo has 195 gcmsup3-density and occupies asymp 36 of crystalrsquos volume
Relative volume of nanoscale-porosity υ of particles determined with respect to the voids-free
UF-HMX(06 microm)-particles υ = 100 times(1-ρ01951)
ldquoRef HMX(114 microm)rdquo
ldquoRC-HMX(1309 microm)rdquo
rdquo F-HMX (111 microm)rdquo
F-HMX PCA (76 microm)
ldquoUF-HMX (16 microm)rdquo
υ equiv 1
υ = 06 υ = 17
υ = 06 υ = 04
PBX
MFOP
shock
front
emission I0 ~ AT(t)4
transmitted radiance
Iτ = I0 - Iςα
scattering ldquoςrdquo amp
absorption ldquoαrdquo
reaction
spot
Z
-to
ES
C T
ho
mso
n
TS
N 5
06 N
Sp
ectr
al
ran
ge
450 n
m lt
λlt
850 n
m
ℓ-z(t)
SM
RS--PBAN-128
40 ns time
P(t
)-fi
eld
an
aly
zer
D(t)-analyzer
Spectral range 450 nm lt λ lt850 nm
Panoramic Multi-Channel Optical
Analyzer coupled with the ESC Thomson TSN
506 N
Multi-fiber Optical ProbePMMA-fibers Oslash250 microm
360 nm lt λ lt 850 nm
0
1
2
3
4
5
6
7
8
9
10
400 450 500 550 600 650 700 750 800 850 900
Att
en
ua
tio
n [d
Bm
]
Wave Length [nm]
Light intensity attenuation in the PG-S250-64 PMMA fibers(S-grade 250 microm-diameter)
Visible radiation 380 nm lt λ lt 760 nm
700600500400 800300
Near-infrared 760 nm lt λ lt 2500 nm
Ultra-violet 10 nm lt λ lt 400 nm
Multi-Channel Optical Analyzer MCOA-UC instrumented with optical fiber ribbon stacked optical monitor (SM) and ESC Thomson TSN 506N
Light intensity attenuation in optical fibers
Meso-scale probing of the 3D reaction zone structure temporal and spatial resolution 200 ps and 50-250 μm 96 independent registration channels Kinetic parameters time history of reaction radiance 360nm lt λ lt 850nm spectrum Sensitive to radiation from near-UV up to near-IR Dynamic parameters stress field (unlimited amplitude) in stacked optic monitor
Shock Reactivity vs Morphology and Density Kinetics RateReaction Radiance Test
HMX particles were bonded with HTPB and Epoxy binder in mass-ratios 8218 8515 amp 9010 Six samples Ǿ4x104mm tested simultaneously HMXEpoxy samples - voids-free PBX-charges of 99TMD -fabricated with use of slurry mixing low pressure pressing vacuum casting amp pressure curing in PMMA holder -HMXHTPB samples 96-98 TMD
Calibrated boosters induce P 0 = 19-20 GPa pressure in HMX particles of test
samples
P E -4AOslash25
detonator
Oslash 40steelP VC S A
350 microm
P VC S M
MF O P to E S C T homson T S N 506 N
B rass 15
T est samples oslash4 x 09
60
Z
Z
PVC SA
PVC SM
Bo
oste
ra
cc
ep
tor
MFOP
D
0 time 40 ns
UF-HMX (16 microm)
F-HMX (111 microm)
PMMA
SW input to samples
Shock motion in PVC SM
0
10
20
30
40
100 120 140 160 180 200 220
Str
es
s G
Pa
time ns
UF-HMX (16)
F-HMX (111)
PMMA
PBXb2 - PVC SA - HMX 85 15 HTPB (900microm) - PVC SM
24 ns-precursors caused by radiation
absorption
dP P = 015
0 time 40 ns Shock motion in PVC SM
Ref HMX (114 microm)
SW in
put t
o sa
mpl
es
UF-HMX (16 microm)
F-HMX PCA (76 microm)
PBX b2 ndash PVC SA ndash P 8515 HTPB (1010 microm) ndash PVC SM induced shock in HMX particles P0 = 197 GPa
0
10
20
30
40
50
120 140 160 180 200 220
P H
E(G
Pa
)
time (ns)
HMX Ref HTPB
20 ns-precursor
Major front output
R = (ΔIΔt)OC (ΔIΔt)OA = 26 04
0
4000
8000
12000
40 80 120 160
time ns
Rad
iati
on
In
ten
sit
y [
Arb
itra
ry u
nit
s]
HMX ref -- F3
HMX ref -- F2
HMX ref -- F1
HMX ref aver
O
A
C
Major front output
Shock input
B
R = (ΔIΔt)OC (ΔIΔt)OA = 22
Kinetics RateReaction Radiance Test Basic Concept
Absolute shock reactivity value R at P0-initiation pressure is determined for each i-acceptor as a ratio between mean rate of full radiation growth and the initial rate of the reaction light growth
R = [(I final ndash I initial)(t final ndash t initial)]mean( ΔI0Δt0)mean
0
10000
20000
30000
40000
50000
0 50 100 150 200 250time (ns)
P05-F1
P05-F2
P05-F3
P05
Ra
dia
tio
n in
ten
sit
y
I (a
rbit
rary
un
its
)
Major front output
SW input
O
C
O1
AB
R = (ΔIΔt)OC (ΔIΔt)O1-A = 06
5000
15000
25000
35000
45000
0 50 100 150 200 250 300
time (ns)
Channel 1
Channel 2
Channel 3
SW input 21 ns
Major front outputPrecursor output
Ra
dia
tio
n in
ten
sit
y
I (a
rbit
rary
un
its
)
SW motion in PVC SM
A
O
B C
(ΔIΔt)OA = 78 ns-1
(ΔIΔt)OC = 206 ns-1
R = (ΔIΔt)OC (ΔIΔt)OA = 26 04
PBX b2 - ldquoUF-HMX (16 microm) 8518 HTPBrdquo-PVC SM 985 microm-sample
PBX b2 ndash ldquoF-HMX (1106 microm) 8518 HTPBrdquo-PVC SM 985 microm-sample
10000
15000
20000
25000
30000
35000
100 150 200 250 300
time (ns)
P03-F1
P03-F2
P03-F3
P03
PBXb2 - KSA - P 8515 Epoxy(985um) - KSM
Major front outputSW input
C
A B
R = (ΔIΔt)OC (ΔIΔt)OA = 06
Ra
dia
tio
n in
ten
sit
y
I (a
rbit
rary
un
its
)
O
PBX b2 ndash ldquoRC-HMX (1309 microm) 8518 HTPBrdquo-KSM 985 microm-sample
KRRR Test data
Detonation Failure Cone Test Determination of Detonation Failure Diameter
2
4
6
8
10
12
14
16
14 16 18 2 22 24 26 28 3 32 34
D lo
cal
(mm
us)
OslashPBX (mm)
HMX(165 plusmn 15 microm) 8218 wt HTPB
Detonation failure Oslash f = 165 mm
2
4
6
8
10
12
2 25 3 35 4 45 5
D lo
cal
(mm
us)
OslashPBX (mm)
UF-HMX(d 50 = 16 microm) 8515 HTPB
Detonation failure Oslash f = 220 mm
20
40
60
80
100
30 40 50 60 70
D [m
mm
s]
f [mm]
RC-HMX (1309 um)UF-HMX (164 um)HTPB = 06560164018
d f = 40 mm
time 200 ns between marks
Detonation Failure Cone Test Determination of Detonation Failure diameter
UF-HMX (16 microm) 8515 HTPB
The RS-PBX ldquoRC-HMXUF-HMXHTPB 65616418 wtrdquo is possessing the Detonation Failure diameter on the level of the purified TATB explosive material of 097 TMD (LASL data)
ID - HMX particles d50 dmin amp dmax ρ0 [gcm3] nano-Porosity
υ [vol ]
R Shock
Reactivity
Failure diam df
[mm]
Relative Shock
Sensitivity S
HMX ref (114408 um) 1877plusmn 0005 37 22 na equiv1 RC-HMX (1309 um) 1895plusmn 0007 29 06 na 03 F-HMX (1106 um) 1874plusmn0008 39 26 na 12
UF-HMX (Ball Milled) d50 = 164 um 19330005 09 04 22 02 F-HMX PCA 76 um 1939 06 1 na 05
HMX (420-595 um) 1893plusmn0012 3 13 252 06 HMX (180-210 um) na na na 155 na HMX (150-180 um) 1896 28 065 165 03 HMX (125-150 um) 1899plusmn0001 27 043 na 02
HMX (63-90 um) na na na 155 na HMX (45-53 um) 1886plusmn 0019 33 14 138 06
Fractions of HMX Class-3 particles
Shock Reactivity of PBXs vs HMX-particles Morphology Data Summary for PBXs ldquoHMX (82-85 wt )Epoxyrdquo amp ldquoHMX (85-90 wt )Epoxyrdquo
y = 17664x - 43158Rsup2 = 09622
0
05
1
15
2
25
3
0 05 1 15 2 25 3 35 4 45
Sh
oc
k R
ea
cti
vit
y R
(A
bs
olu
te v
alu
es
)
nano-voids in HMX particles υ (vol )
F-HMX 1106 microm
HMX (45-53 microm)HMX (420-595 microm)
RC-HMX 1309 microm
HMX (125-150 microm)UF-HMX 164 microm (BM)
F-HMX 76 microm (PCA) HMX (150-180 microm)
Shock Reactivity of PBXs vs nano-porosity of HMX particles Data Summary for PBXs ldquoHMX (82-85 wt )Epoxyrdquo (096-098TMD) amp ldquoHMX (85-90
wt )Epoxyrdquo (099TMD)
Agglomeration of particles causes
increase of shock reactivity
0
05
1
15
2
25
3
0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180
Sh
oc
k R
ea
cti
vit
y R
(A
bs
olu
te
HMX particle sizes d 50 (microm)
F-HMX 1106 microm
RC-HMX 1309 microm
UF-HMX 164 microm (BM)
F-HMX 76 microm (PCA)HMX (150-180 microm)
HMX Ref 1144 microm
HMX 8515 HTPB ρ0 asymp 096 TMD
Shock Reactivity of PBXs vs HMX-particle size Data Summary for PBXs ldquoHMX (82-85 wt )Epoxyrdquo amp ldquoHMX (85-90 wt )Epoxyrdquo
Re-crystallization of particles provides decrease of shock
reactivity in 37 times
1
12
14
16
18
2
22
24
0 100 200 300 400 500 600
UF-HMX (Ball Mill) 164 um
HMX (420-595 um)
HMX (180-210 um)
HMX (150-180 um)
HMX (63-90 um)
HMX (45-53 um)
d failure vs HMX particle size
HMX particle sizes d (microm)
De
ton
ati
on
Failu
re D
iam
ete
r d
f (micro
m)
Detonation failure diameter of PBXs vs HMX-particle sizes Data Summary for PBXs ldquoHMX (82-85 wt )Epoxyrdquo amp ldquoHMX (85-90 wt )Epoxyrdquo
Conclusive Remarks
Kinetic RateReaction Radiance Test and Detonation Failure Cone Test both instrumented with Multi-Channel Optical Analyzer MCOA-UC produce quantitative data on reaction rate in PBX-samples subjected to shock or detonation
Very small amount of test material (KR-RR Test 20mg Detonation Failure Test 800 mg) is required for tailoring PBXs on shock sensitivity
Role of HMX-particles morphology in shock sensitivity of PBXs is quantitatively described
Basic ldquomorphological factorrdquo determining a shock reactivity of HMX-particles is a nano-porosity of crystalline structure of the particlersquos surface layer
HMX-particles of micronsubmicron size demonstrate a shock reactivity in 5-7 times lesser than larger particles having 100-10microm sizes Experimental data are in good correlation with Kenneth Grahamrsquos results
In this context shock reactivity data strongly support the idea to minimize the amount of the surface micro-defects via the re-crystallization or comminuting particles up to the 05-1 microm-size
PBX-formulations composed with the re-crystallized particles a micron-size particles and HTPB in ratio 65616418 wt rdquo is possessing the insensitivity to shock on the level of the TATB
β-HMX Coarse Particles applied for PBX fabrication Morphology amp Density
ldquoRef HMX(114microm)rdquo particles HMX Class-6 military grade (Dyno Nobel) Mono-modal PSD d 50 =114408 microm ρ0 = 1881plusmn0006 gcmsup3 ldquoRC-HMX(1309microm)rdquo particles Fraunhofer ICT Re-crystallization of the ldquoRef HMX(114microm)rdquo in the propylene-carbonate solution Mono-modal PSD d50 =130925 microm ρ0 = 1892plusmn0006 gcmsup3
ldquoRef HMX(114 microm)rdquo ldquoRC-HMX(1309 microm)rdquo
bullDensity measurements standard helium and liquid pycnometry bullPSD analyzers bullMalvern Mastersizer 2000
Outer layer represent a continuum the cluster-type substructures spaced by dislocation pits cracks and fissures Clusters are max concentrated in vertexes amp edges Surface layer the average density = 186 gcmsup3
β-HMX Fine amp UF-Particles applied for PBX fabrication Morphology and Density
rdquoF-HMX (111 microm)rdquo particles Fraunhofer ICT applied a ldquoRotor-Stator Millingrdquo technology for comminuting particles ldquoRef HMX (114microm)rdquo as a row material Mono-modal PSD d 50 = 1106 microm ρ0 = 1874plusmn0008 gcmsup3
ldquoF HMX-PCA (76 microm)rdquo particles Obtained at Fraunhofer ICT using the supercritical fluid technology for precipitation from γ-butyro-lactone solution (Compressed Fluid Anti-solvent PCA) Bi-modal PSD at median size d 50 = 76 microm
0
2
4
6
8
01 1 10 100
q3 [m
m-1
]
Particle size d [mm]
HMX-PCA
PCA-product represents agglomerations of UF-particles (d50 asymp 03 microm) with asymp10 times larger particles
β-HMX UF-Particles applied for PBX fabrication Morphology and Density
ldquoUF-HMX (16 microm)rdquo Fraunhofer ICT applied the ldquoAnnular Gap Ball-Millrdquo technology for further comminuting the water slurry of rdquoF-HMX (111 microm)rdquo particles Mono-modal PSD d50 =164 microm ρ0 = 1933plusmn0005 gcmsup3 ldquoUF-HMX (06 microm)rdquo ρ0 = 1951plusmn0005 gcmsup3
0
2
4
6
8
10
0 0 1 10 100
Vo
lum
e [
]
Particle Size d [mm]
HMX-Ball Mill
001 01 1 10 100
1) surface clusters asymp ldquoUF-HMX (06 microm)rdquo 2) ldquoUF-HMX (16 microm)rdquo particles are almost free of substructures 3) ldquoUF-HMX (06 microm)rdquo particles have a maximal density 1951 gcmsup3
ldquoUF-HMX (06 microm)rdquo particles represent themselves original clusters separated from the crystalrsquos body at commuting
β-HMX Fine amp UF-Particles applied for PBX fabrication Morphology and Density
ldquoβ-HMX (1375 microm)rdquo crystalrsquos surface structure ldquoβ-HMX UF-particle (16 microm)rdquo
bullCluster structure of the surface layer bull05-1 microm-clusters are spaced by dislocation pits cracks and fissures of 2-4 nm-size
What is a realistic max density of β-HMX ndash Wersquove found ρ0 = 1951 gcmsup3
β-HMX crystal (5075 microm ρ0 =1893plusmn0012 gcmsup3 ) was splitted in median zone of the (0-1-0)-facet
β-HMX seed has a maximum packed molecular structure ρ0 = 195 ndash 196 gcmsup3 (ICT TNO Un Coimbra ρ0 = 1951 gcmsup3 WH Rinkenbach (1951) ρ0 = 196 gcmsup3 ) Outer layer represents a continuum the cluster-type substructures spaced by dislocation pits cracks and fissures The surface layer has the average density = 186 gcmsup3 Thickness of the outer cluster-shell in which the surface-defects are concentrated attains asymp20 of crystalrsquos cross-section or occupies roughly asymp 64 of its volume The defects-less ldquoseedrdquo has 195 gcmsup3-density and occupies asymp 36 of crystalrsquos volume
Relative volume of nanoscale-porosity υ of particles determined with respect to the voids-free
UF-HMX(06 microm)-particles υ = 100 times(1-ρ01951)
ldquoRef HMX(114 microm)rdquo
ldquoRC-HMX(1309 microm)rdquo
rdquo F-HMX (111 microm)rdquo
F-HMX PCA (76 microm)
ldquoUF-HMX (16 microm)rdquo
υ equiv 1
υ = 06 υ = 17
υ = 06 υ = 04
PBX
MFOP
shock
front
emission I0 ~ AT(t)4
transmitted radiance
Iτ = I0 - Iςα
scattering ldquoςrdquo amp
absorption ldquoαrdquo
reaction
spot
Z
-to
ES
C T
ho
mso
n
TS
N 5
06 N
Sp
ectr
al
ran
ge
450 n
m lt
λlt
850 n
m
ℓ-z(t)
SM
RS--PBAN-128
40 ns time
P(t
)-fi
eld
an
aly
zer
D(t)-analyzer
Spectral range 450 nm lt λ lt850 nm
Panoramic Multi-Channel Optical
Analyzer coupled with the ESC Thomson TSN
506 N
Multi-fiber Optical ProbePMMA-fibers Oslash250 microm
360 nm lt λ lt 850 nm
0
1
2
3
4
5
6
7
8
9
10
400 450 500 550 600 650 700 750 800 850 900
Att
en
ua
tio
n [d
Bm
]
Wave Length [nm]
Light intensity attenuation in the PG-S250-64 PMMA fibers(S-grade 250 microm-diameter)
Visible radiation 380 nm lt λ lt 760 nm
700600500400 800300
Near-infrared 760 nm lt λ lt 2500 nm
Ultra-violet 10 nm lt λ lt 400 nm
Multi-Channel Optical Analyzer MCOA-UC instrumented with optical fiber ribbon stacked optical monitor (SM) and ESC Thomson TSN 506N
Light intensity attenuation in optical fibers
Meso-scale probing of the 3D reaction zone structure temporal and spatial resolution 200 ps and 50-250 μm 96 independent registration channels Kinetic parameters time history of reaction radiance 360nm lt λ lt 850nm spectrum Sensitive to radiation from near-UV up to near-IR Dynamic parameters stress field (unlimited amplitude) in stacked optic monitor
Shock Reactivity vs Morphology and Density Kinetics RateReaction Radiance Test
HMX particles were bonded with HTPB and Epoxy binder in mass-ratios 8218 8515 amp 9010 Six samples Ǿ4x104mm tested simultaneously HMXEpoxy samples - voids-free PBX-charges of 99TMD -fabricated with use of slurry mixing low pressure pressing vacuum casting amp pressure curing in PMMA holder -HMXHTPB samples 96-98 TMD
Calibrated boosters induce P 0 = 19-20 GPa pressure in HMX particles of test
samples
P E -4AOslash25
detonator
Oslash 40steelP VC S A
350 microm
P VC S M
MF O P to E S C T homson T S N 506 N
B rass 15
T est samples oslash4 x 09
60
Z
Z
PVC SA
PVC SM
Bo
oste
ra
cc
ep
tor
MFOP
D
0 time 40 ns
UF-HMX (16 microm)
F-HMX (111 microm)
PMMA
SW input to samples
Shock motion in PVC SM
0
10
20
30
40
100 120 140 160 180 200 220
Str
es
s G
Pa
time ns
UF-HMX (16)
F-HMX (111)
PMMA
PBXb2 - PVC SA - HMX 85 15 HTPB (900microm) - PVC SM
24 ns-precursors caused by radiation
absorption
dP P = 015
0 time 40 ns Shock motion in PVC SM
Ref HMX (114 microm)
SW in
put t
o sa
mpl
es
UF-HMX (16 microm)
F-HMX PCA (76 microm)
PBX b2 ndash PVC SA ndash P 8515 HTPB (1010 microm) ndash PVC SM induced shock in HMX particles P0 = 197 GPa
0
10
20
30
40
50
120 140 160 180 200 220
P H
E(G
Pa
)
time (ns)
HMX Ref HTPB
20 ns-precursor
Major front output
R = (ΔIΔt)OC (ΔIΔt)OA = 26 04
0
4000
8000
12000
40 80 120 160
time ns
Rad
iati
on
In
ten
sit
y [
Arb
itra
ry u
nit
s]
HMX ref -- F3
HMX ref -- F2
HMX ref -- F1
HMX ref aver
O
A
C
Major front output
Shock input
B
R = (ΔIΔt)OC (ΔIΔt)OA = 22
Kinetics RateReaction Radiance Test Basic Concept
Absolute shock reactivity value R at P0-initiation pressure is determined for each i-acceptor as a ratio between mean rate of full radiation growth and the initial rate of the reaction light growth
R = [(I final ndash I initial)(t final ndash t initial)]mean( ΔI0Δt0)mean
0
10000
20000
30000
40000
50000
0 50 100 150 200 250time (ns)
P05-F1
P05-F2
P05-F3
P05
Ra
dia
tio
n in
ten
sit
y
I (a
rbit
rary
un
its
)
Major front output
SW input
O
C
O1
AB
R = (ΔIΔt)OC (ΔIΔt)O1-A = 06
5000
15000
25000
35000
45000
0 50 100 150 200 250 300
time (ns)
Channel 1
Channel 2
Channel 3
SW input 21 ns
Major front outputPrecursor output
Ra
dia
tio
n in
ten
sit
y
I (a
rbit
rary
un
its
)
SW motion in PVC SM
A
O
B C
(ΔIΔt)OA = 78 ns-1
(ΔIΔt)OC = 206 ns-1
R = (ΔIΔt)OC (ΔIΔt)OA = 26 04
PBX b2 - ldquoUF-HMX (16 microm) 8518 HTPBrdquo-PVC SM 985 microm-sample
PBX b2 ndash ldquoF-HMX (1106 microm) 8518 HTPBrdquo-PVC SM 985 microm-sample
10000
15000
20000
25000
30000
35000
100 150 200 250 300
time (ns)
P03-F1
P03-F2
P03-F3
P03
PBXb2 - KSA - P 8515 Epoxy(985um) - KSM
Major front outputSW input
C
A B
R = (ΔIΔt)OC (ΔIΔt)OA = 06
Ra
dia
tio
n in
ten
sit
y
I (a
rbit
rary
un
its
)
O
PBX b2 ndash ldquoRC-HMX (1309 microm) 8518 HTPBrdquo-KSM 985 microm-sample
KRRR Test data
Detonation Failure Cone Test Determination of Detonation Failure Diameter
2
4
6
8
10
12
14
16
14 16 18 2 22 24 26 28 3 32 34
D lo
cal
(mm
us)
OslashPBX (mm)
HMX(165 plusmn 15 microm) 8218 wt HTPB
Detonation failure Oslash f = 165 mm
2
4
6
8
10
12
2 25 3 35 4 45 5
D lo
cal
(mm
us)
OslashPBX (mm)
UF-HMX(d 50 = 16 microm) 8515 HTPB
Detonation failure Oslash f = 220 mm
20
40
60
80
100
30 40 50 60 70
D [m
mm
s]
f [mm]
RC-HMX (1309 um)UF-HMX (164 um)HTPB = 06560164018
d f = 40 mm
time 200 ns between marks
Detonation Failure Cone Test Determination of Detonation Failure diameter
UF-HMX (16 microm) 8515 HTPB
The RS-PBX ldquoRC-HMXUF-HMXHTPB 65616418 wtrdquo is possessing the Detonation Failure diameter on the level of the purified TATB explosive material of 097 TMD (LASL data)
ID - HMX particles d50 dmin amp dmax ρ0 [gcm3] nano-Porosity
υ [vol ]
R Shock
Reactivity
Failure diam df
[mm]
Relative Shock
Sensitivity S
HMX ref (114408 um) 1877plusmn 0005 37 22 na equiv1 RC-HMX (1309 um) 1895plusmn 0007 29 06 na 03 F-HMX (1106 um) 1874plusmn0008 39 26 na 12
UF-HMX (Ball Milled) d50 = 164 um 19330005 09 04 22 02 F-HMX PCA 76 um 1939 06 1 na 05
HMX (420-595 um) 1893plusmn0012 3 13 252 06 HMX (180-210 um) na na na 155 na HMX (150-180 um) 1896 28 065 165 03 HMX (125-150 um) 1899plusmn0001 27 043 na 02
HMX (63-90 um) na na na 155 na HMX (45-53 um) 1886plusmn 0019 33 14 138 06
Fractions of HMX Class-3 particles
Shock Reactivity of PBXs vs HMX-particles Morphology Data Summary for PBXs ldquoHMX (82-85 wt )Epoxyrdquo amp ldquoHMX (85-90 wt )Epoxyrdquo
y = 17664x - 43158Rsup2 = 09622
0
05
1
15
2
25
3
0 05 1 15 2 25 3 35 4 45
Sh
oc
k R
ea
cti
vit
y R
(A
bs
olu
te v
alu
es
)
nano-voids in HMX particles υ (vol )
F-HMX 1106 microm
HMX (45-53 microm)HMX (420-595 microm)
RC-HMX 1309 microm
HMX (125-150 microm)UF-HMX 164 microm (BM)
F-HMX 76 microm (PCA) HMX (150-180 microm)
Shock Reactivity of PBXs vs nano-porosity of HMX particles Data Summary for PBXs ldquoHMX (82-85 wt )Epoxyrdquo (096-098TMD) amp ldquoHMX (85-90
wt )Epoxyrdquo (099TMD)
Agglomeration of particles causes
increase of shock reactivity
0
05
1
15
2
25
3
0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180
Sh
oc
k R
ea
cti
vit
y R
(A
bs
olu
te
HMX particle sizes d 50 (microm)
F-HMX 1106 microm
RC-HMX 1309 microm
UF-HMX 164 microm (BM)
F-HMX 76 microm (PCA)HMX (150-180 microm)
HMX Ref 1144 microm
HMX 8515 HTPB ρ0 asymp 096 TMD
Shock Reactivity of PBXs vs HMX-particle size Data Summary for PBXs ldquoHMX (82-85 wt )Epoxyrdquo amp ldquoHMX (85-90 wt )Epoxyrdquo
Re-crystallization of particles provides decrease of shock
reactivity in 37 times
1
12
14
16
18
2
22
24
0 100 200 300 400 500 600
UF-HMX (Ball Mill) 164 um
HMX (420-595 um)
HMX (180-210 um)
HMX (150-180 um)
HMX (63-90 um)
HMX (45-53 um)
d failure vs HMX particle size
HMX particle sizes d (microm)
De
ton
ati
on
Failu
re D
iam
ete
r d
f (micro
m)
Detonation failure diameter of PBXs vs HMX-particle sizes Data Summary for PBXs ldquoHMX (82-85 wt )Epoxyrdquo amp ldquoHMX (85-90 wt )Epoxyrdquo
Conclusive Remarks
Kinetic RateReaction Radiance Test and Detonation Failure Cone Test both instrumented with Multi-Channel Optical Analyzer MCOA-UC produce quantitative data on reaction rate in PBX-samples subjected to shock or detonation
Very small amount of test material (KR-RR Test 20mg Detonation Failure Test 800 mg) is required for tailoring PBXs on shock sensitivity
Role of HMX-particles morphology in shock sensitivity of PBXs is quantitatively described
Basic ldquomorphological factorrdquo determining a shock reactivity of HMX-particles is a nano-porosity of crystalline structure of the particlersquos surface layer
HMX-particles of micronsubmicron size demonstrate a shock reactivity in 5-7 times lesser than larger particles having 100-10microm sizes Experimental data are in good correlation with Kenneth Grahamrsquos results
In this context shock reactivity data strongly support the idea to minimize the amount of the surface micro-defects via the re-crystallization or comminuting particles up to the 05-1 microm-size
PBX-formulations composed with the re-crystallized particles a micron-size particles and HTPB in ratio 65616418 wt rdquo is possessing the insensitivity to shock on the level of the TATB
β-HMX Fine amp UF-Particles applied for PBX fabrication Morphology and Density
rdquoF-HMX (111 microm)rdquo particles Fraunhofer ICT applied a ldquoRotor-Stator Millingrdquo technology for comminuting particles ldquoRef HMX (114microm)rdquo as a row material Mono-modal PSD d 50 = 1106 microm ρ0 = 1874plusmn0008 gcmsup3
ldquoF HMX-PCA (76 microm)rdquo particles Obtained at Fraunhofer ICT using the supercritical fluid technology for precipitation from γ-butyro-lactone solution (Compressed Fluid Anti-solvent PCA) Bi-modal PSD at median size d 50 = 76 microm
0
2
4
6
8
01 1 10 100
q3 [m
m-1
]
Particle size d [mm]
HMX-PCA
PCA-product represents agglomerations of UF-particles (d50 asymp 03 microm) with asymp10 times larger particles
β-HMX UF-Particles applied for PBX fabrication Morphology and Density
ldquoUF-HMX (16 microm)rdquo Fraunhofer ICT applied the ldquoAnnular Gap Ball-Millrdquo technology for further comminuting the water slurry of rdquoF-HMX (111 microm)rdquo particles Mono-modal PSD d50 =164 microm ρ0 = 1933plusmn0005 gcmsup3 ldquoUF-HMX (06 microm)rdquo ρ0 = 1951plusmn0005 gcmsup3
0
2
4
6
8
10
0 0 1 10 100
Vo
lum
e [
]
Particle Size d [mm]
HMX-Ball Mill
001 01 1 10 100
1) surface clusters asymp ldquoUF-HMX (06 microm)rdquo 2) ldquoUF-HMX (16 microm)rdquo particles are almost free of substructures 3) ldquoUF-HMX (06 microm)rdquo particles have a maximal density 1951 gcmsup3
ldquoUF-HMX (06 microm)rdquo particles represent themselves original clusters separated from the crystalrsquos body at commuting
β-HMX Fine amp UF-Particles applied for PBX fabrication Morphology and Density
ldquoβ-HMX (1375 microm)rdquo crystalrsquos surface structure ldquoβ-HMX UF-particle (16 microm)rdquo
bullCluster structure of the surface layer bull05-1 microm-clusters are spaced by dislocation pits cracks and fissures of 2-4 nm-size
What is a realistic max density of β-HMX ndash Wersquove found ρ0 = 1951 gcmsup3
β-HMX crystal (5075 microm ρ0 =1893plusmn0012 gcmsup3 ) was splitted in median zone of the (0-1-0)-facet
β-HMX seed has a maximum packed molecular structure ρ0 = 195 ndash 196 gcmsup3 (ICT TNO Un Coimbra ρ0 = 1951 gcmsup3 WH Rinkenbach (1951) ρ0 = 196 gcmsup3 ) Outer layer represents a continuum the cluster-type substructures spaced by dislocation pits cracks and fissures The surface layer has the average density = 186 gcmsup3 Thickness of the outer cluster-shell in which the surface-defects are concentrated attains asymp20 of crystalrsquos cross-section or occupies roughly asymp 64 of its volume The defects-less ldquoseedrdquo has 195 gcmsup3-density and occupies asymp 36 of crystalrsquos volume
Relative volume of nanoscale-porosity υ of particles determined with respect to the voids-free
UF-HMX(06 microm)-particles υ = 100 times(1-ρ01951)
ldquoRef HMX(114 microm)rdquo
ldquoRC-HMX(1309 microm)rdquo
rdquo F-HMX (111 microm)rdquo
F-HMX PCA (76 microm)
ldquoUF-HMX (16 microm)rdquo
υ equiv 1
υ = 06 υ = 17
υ = 06 υ = 04
PBX
MFOP
shock
front
emission I0 ~ AT(t)4
transmitted radiance
Iτ = I0 - Iςα
scattering ldquoςrdquo amp
absorption ldquoαrdquo
reaction
spot
Z
-to
ES
C T
ho
mso
n
TS
N 5
06 N
Sp
ectr
al
ran
ge
450 n
m lt
λlt
850 n
m
ℓ-z(t)
SM
RS--PBAN-128
40 ns time
P(t
)-fi
eld
an
aly
zer
D(t)-analyzer
Spectral range 450 nm lt λ lt850 nm
Panoramic Multi-Channel Optical
Analyzer coupled with the ESC Thomson TSN
506 N
Multi-fiber Optical ProbePMMA-fibers Oslash250 microm
360 nm lt λ lt 850 nm
0
1
2
3
4
5
6
7
8
9
10
400 450 500 550 600 650 700 750 800 850 900
Att
en
ua
tio
n [d
Bm
]
Wave Length [nm]
Light intensity attenuation in the PG-S250-64 PMMA fibers(S-grade 250 microm-diameter)
Visible radiation 380 nm lt λ lt 760 nm
700600500400 800300
Near-infrared 760 nm lt λ lt 2500 nm
Ultra-violet 10 nm lt λ lt 400 nm
Multi-Channel Optical Analyzer MCOA-UC instrumented with optical fiber ribbon stacked optical monitor (SM) and ESC Thomson TSN 506N
Light intensity attenuation in optical fibers
Meso-scale probing of the 3D reaction zone structure temporal and spatial resolution 200 ps and 50-250 μm 96 independent registration channels Kinetic parameters time history of reaction radiance 360nm lt λ lt 850nm spectrum Sensitive to radiation from near-UV up to near-IR Dynamic parameters stress field (unlimited amplitude) in stacked optic monitor
Shock Reactivity vs Morphology and Density Kinetics RateReaction Radiance Test
HMX particles were bonded with HTPB and Epoxy binder in mass-ratios 8218 8515 amp 9010 Six samples Ǿ4x104mm tested simultaneously HMXEpoxy samples - voids-free PBX-charges of 99TMD -fabricated with use of slurry mixing low pressure pressing vacuum casting amp pressure curing in PMMA holder -HMXHTPB samples 96-98 TMD
Calibrated boosters induce P 0 = 19-20 GPa pressure in HMX particles of test
samples
P E -4AOslash25
detonator
Oslash 40steelP VC S A
350 microm
P VC S M
MF O P to E S C T homson T S N 506 N
B rass 15
T est samples oslash4 x 09
60
Z
Z
PVC SA
PVC SM
Bo
oste
ra
cc
ep
tor
MFOP
D
0 time 40 ns
UF-HMX (16 microm)
F-HMX (111 microm)
PMMA
SW input to samples
Shock motion in PVC SM
0
10
20
30
40
100 120 140 160 180 200 220
Str
es
s G
Pa
time ns
UF-HMX (16)
F-HMX (111)
PMMA
PBXb2 - PVC SA - HMX 85 15 HTPB (900microm) - PVC SM
24 ns-precursors caused by radiation
absorption
dP P = 015
0 time 40 ns Shock motion in PVC SM
Ref HMX (114 microm)
SW in
put t
o sa
mpl
es
UF-HMX (16 microm)
F-HMX PCA (76 microm)
PBX b2 ndash PVC SA ndash P 8515 HTPB (1010 microm) ndash PVC SM induced shock in HMX particles P0 = 197 GPa
0
10
20
30
40
50
120 140 160 180 200 220
P H
E(G
Pa
)
time (ns)
HMX Ref HTPB
20 ns-precursor
Major front output
R = (ΔIΔt)OC (ΔIΔt)OA = 26 04
0
4000
8000
12000
40 80 120 160
time ns
Rad
iati
on
In
ten
sit
y [
Arb
itra
ry u
nit
s]
HMX ref -- F3
HMX ref -- F2
HMX ref -- F1
HMX ref aver
O
A
C
Major front output
Shock input
B
R = (ΔIΔt)OC (ΔIΔt)OA = 22
Kinetics RateReaction Radiance Test Basic Concept
Absolute shock reactivity value R at P0-initiation pressure is determined for each i-acceptor as a ratio between mean rate of full radiation growth and the initial rate of the reaction light growth
R = [(I final ndash I initial)(t final ndash t initial)]mean( ΔI0Δt0)mean
0
10000
20000
30000
40000
50000
0 50 100 150 200 250time (ns)
P05-F1
P05-F2
P05-F3
P05
Ra
dia
tio
n in
ten
sit
y
I (a
rbit
rary
un
its
)
Major front output
SW input
O
C
O1
AB
R = (ΔIΔt)OC (ΔIΔt)O1-A = 06
5000
15000
25000
35000
45000
0 50 100 150 200 250 300
time (ns)
Channel 1
Channel 2
Channel 3
SW input 21 ns
Major front outputPrecursor output
Ra
dia
tio
n in
ten
sit
y
I (a
rbit
rary
un
its
)
SW motion in PVC SM
A
O
B C
(ΔIΔt)OA = 78 ns-1
(ΔIΔt)OC = 206 ns-1
R = (ΔIΔt)OC (ΔIΔt)OA = 26 04
PBX b2 - ldquoUF-HMX (16 microm) 8518 HTPBrdquo-PVC SM 985 microm-sample
PBX b2 ndash ldquoF-HMX (1106 microm) 8518 HTPBrdquo-PVC SM 985 microm-sample
10000
15000
20000
25000
30000
35000
100 150 200 250 300
time (ns)
P03-F1
P03-F2
P03-F3
P03
PBXb2 - KSA - P 8515 Epoxy(985um) - KSM
Major front outputSW input
C
A B
R = (ΔIΔt)OC (ΔIΔt)OA = 06
Ra
dia
tio
n in
ten
sit
y
I (a
rbit
rary
un
its
)
O
PBX b2 ndash ldquoRC-HMX (1309 microm) 8518 HTPBrdquo-KSM 985 microm-sample
KRRR Test data
Detonation Failure Cone Test Determination of Detonation Failure Diameter
2
4
6
8
10
12
14
16
14 16 18 2 22 24 26 28 3 32 34
D lo
cal
(mm
us)
OslashPBX (mm)
HMX(165 plusmn 15 microm) 8218 wt HTPB
Detonation failure Oslash f = 165 mm
2
4
6
8
10
12
2 25 3 35 4 45 5
D lo
cal
(mm
us)
OslashPBX (mm)
UF-HMX(d 50 = 16 microm) 8515 HTPB
Detonation failure Oslash f = 220 mm
20
40
60
80
100
30 40 50 60 70
D [m
mm
s]
f [mm]
RC-HMX (1309 um)UF-HMX (164 um)HTPB = 06560164018
d f = 40 mm
time 200 ns between marks
Detonation Failure Cone Test Determination of Detonation Failure diameter
UF-HMX (16 microm) 8515 HTPB
The RS-PBX ldquoRC-HMXUF-HMXHTPB 65616418 wtrdquo is possessing the Detonation Failure diameter on the level of the purified TATB explosive material of 097 TMD (LASL data)
ID - HMX particles d50 dmin amp dmax ρ0 [gcm3] nano-Porosity
υ [vol ]
R Shock
Reactivity
Failure diam df
[mm]
Relative Shock
Sensitivity S
HMX ref (114408 um) 1877plusmn 0005 37 22 na equiv1 RC-HMX (1309 um) 1895plusmn 0007 29 06 na 03 F-HMX (1106 um) 1874plusmn0008 39 26 na 12
UF-HMX (Ball Milled) d50 = 164 um 19330005 09 04 22 02 F-HMX PCA 76 um 1939 06 1 na 05
HMX (420-595 um) 1893plusmn0012 3 13 252 06 HMX (180-210 um) na na na 155 na HMX (150-180 um) 1896 28 065 165 03 HMX (125-150 um) 1899plusmn0001 27 043 na 02
HMX (63-90 um) na na na 155 na HMX (45-53 um) 1886plusmn 0019 33 14 138 06
Fractions of HMX Class-3 particles
Shock Reactivity of PBXs vs HMX-particles Morphology Data Summary for PBXs ldquoHMX (82-85 wt )Epoxyrdquo amp ldquoHMX (85-90 wt )Epoxyrdquo
y = 17664x - 43158Rsup2 = 09622
0
05
1
15
2
25
3
0 05 1 15 2 25 3 35 4 45
Sh
oc
k R
ea
cti
vit
y R
(A
bs
olu
te v
alu
es
)
nano-voids in HMX particles υ (vol )
F-HMX 1106 microm
HMX (45-53 microm)HMX (420-595 microm)
RC-HMX 1309 microm
HMX (125-150 microm)UF-HMX 164 microm (BM)
F-HMX 76 microm (PCA) HMX (150-180 microm)
Shock Reactivity of PBXs vs nano-porosity of HMX particles Data Summary for PBXs ldquoHMX (82-85 wt )Epoxyrdquo (096-098TMD) amp ldquoHMX (85-90
wt )Epoxyrdquo (099TMD)
Agglomeration of particles causes
increase of shock reactivity
0
05
1
15
2
25
3
0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180
Sh
oc
k R
ea
cti
vit
y R
(A
bs
olu
te
HMX particle sizes d 50 (microm)
F-HMX 1106 microm
RC-HMX 1309 microm
UF-HMX 164 microm (BM)
F-HMX 76 microm (PCA)HMX (150-180 microm)
HMX Ref 1144 microm
HMX 8515 HTPB ρ0 asymp 096 TMD
Shock Reactivity of PBXs vs HMX-particle size Data Summary for PBXs ldquoHMX (82-85 wt )Epoxyrdquo amp ldquoHMX (85-90 wt )Epoxyrdquo
Re-crystallization of particles provides decrease of shock
reactivity in 37 times
1
12
14
16
18
2
22
24
0 100 200 300 400 500 600
UF-HMX (Ball Mill) 164 um
HMX (420-595 um)
HMX (180-210 um)
HMX (150-180 um)
HMX (63-90 um)
HMX (45-53 um)
d failure vs HMX particle size
HMX particle sizes d (microm)
De
ton
ati
on
Failu
re D
iam
ete
r d
f (micro
m)
Detonation failure diameter of PBXs vs HMX-particle sizes Data Summary for PBXs ldquoHMX (82-85 wt )Epoxyrdquo amp ldquoHMX (85-90 wt )Epoxyrdquo
Conclusive Remarks
Kinetic RateReaction Radiance Test and Detonation Failure Cone Test both instrumented with Multi-Channel Optical Analyzer MCOA-UC produce quantitative data on reaction rate in PBX-samples subjected to shock or detonation
Very small amount of test material (KR-RR Test 20mg Detonation Failure Test 800 mg) is required for tailoring PBXs on shock sensitivity
Role of HMX-particles morphology in shock sensitivity of PBXs is quantitatively described
Basic ldquomorphological factorrdquo determining a shock reactivity of HMX-particles is a nano-porosity of crystalline structure of the particlersquos surface layer
HMX-particles of micronsubmicron size demonstrate a shock reactivity in 5-7 times lesser than larger particles having 100-10microm sizes Experimental data are in good correlation with Kenneth Grahamrsquos results
In this context shock reactivity data strongly support the idea to minimize the amount of the surface micro-defects via the re-crystallization or comminuting particles up to the 05-1 microm-size
PBX-formulations composed with the re-crystallized particles a micron-size particles and HTPB in ratio 65616418 wt rdquo is possessing the insensitivity to shock on the level of the TATB
β-HMX UF-Particles applied for PBX fabrication Morphology and Density
ldquoUF-HMX (16 microm)rdquo Fraunhofer ICT applied the ldquoAnnular Gap Ball-Millrdquo technology for further comminuting the water slurry of rdquoF-HMX (111 microm)rdquo particles Mono-modal PSD d50 =164 microm ρ0 = 1933plusmn0005 gcmsup3 ldquoUF-HMX (06 microm)rdquo ρ0 = 1951plusmn0005 gcmsup3
0
2
4
6
8
10
0 0 1 10 100
Vo
lum
e [
]
Particle Size d [mm]
HMX-Ball Mill
001 01 1 10 100
1) surface clusters asymp ldquoUF-HMX (06 microm)rdquo 2) ldquoUF-HMX (16 microm)rdquo particles are almost free of substructures 3) ldquoUF-HMX (06 microm)rdquo particles have a maximal density 1951 gcmsup3
ldquoUF-HMX (06 microm)rdquo particles represent themselves original clusters separated from the crystalrsquos body at commuting
β-HMX Fine amp UF-Particles applied for PBX fabrication Morphology and Density
ldquoβ-HMX (1375 microm)rdquo crystalrsquos surface structure ldquoβ-HMX UF-particle (16 microm)rdquo
bullCluster structure of the surface layer bull05-1 microm-clusters are spaced by dislocation pits cracks and fissures of 2-4 nm-size
What is a realistic max density of β-HMX ndash Wersquove found ρ0 = 1951 gcmsup3
β-HMX crystal (5075 microm ρ0 =1893plusmn0012 gcmsup3 ) was splitted in median zone of the (0-1-0)-facet
β-HMX seed has a maximum packed molecular structure ρ0 = 195 ndash 196 gcmsup3 (ICT TNO Un Coimbra ρ0 = 1951 gcmsup3 WH Rinkenbach (1951) ρ0 = 196 gcmsup3 ) Outer layer represents a continuum the cluster-type substructures spaced by dislocation pits cracks and fissures The surface layer has the average density = 186 gcmsup3 Thickness of the outer cluster-shell in which the surface-defects are concentrated attains asymp20 of crystalrsquos cross-section or occupies roughly asymp 64 of its volume The defects-less ldquoseedrdquo has 195 gcmsup3-density and occupies asymp 36 of crystalrsquos volume
Relative volume of nanoscale-porosity υ of particles determined with respect to the voids-free
UF-HMX(06 microm)-particles υ = 100 times(1-ρ01951)
ldquoRef HMX(114 microm)rdquo
ldquoRC-HMX(1309 microm)rdquo
rdquo F-HMX (111 microm)rdquo
F-HMX PCA (76 microm)
ldquoUF-HMX (16 microm)rdquo
υ equiv 1
υ = 06 υ = 17
υ = 06 υ = 04
PBX
MFOP
shock
front
emission I0 ~ AT(t)4
transmitted radiance
Iτ = I0 - Iςα
scattering ldquoςrdquo amp
absorption ldquoαrdquo
reaction
spot
Z
-to
ES
C T
ho
mso
n
TS
N 5
06 N
Sp
ectr
al
ran
ge
450 n
m lt
λlt
850 n
m
ℓ-z(t)
SM
RS--PBAN-128
40 ns time
P(t
)-fi
eld
an
aly
zer
D(t)-analyzer
Spectral range 450 nm lt λ lt850 nm
Panoramic Multi-Channel Optical
Analyzer coupled with the ESC Thomson TSN
506 N
Multi-fiber Optical ProbePMMA-fibers Oslash250 microm
360 nm lt λ lt 850 nm
0
1
2
3
4
5
6
7
8
9
10
400 450 500 550 600 650 700 750 800 850 900
Att
en
ua
tio
n [d
Bm
]
Wave Length [nm]
Light intensity attenuation in the PG-S250-64 PMMA fibers(S-grade 250 microm-diameter)
Visible radiation 380 nm lt λ lt 760 nm
700600500400 800300
Near-infrared 760 nm lt λ lt 2500 nm
Ultra-violet 10 nm lt λ lt 400 nm
Multi-Channel Optical Analyzer MCOA-UC instrumented with optical fiber ribbon stacked optical monitor (SM) and ESC Thomson TSN 506N
Light intensity attenuation in optical fibers
Meso-scale probing of the 3D reaction zone structure temporal and spatial resolution 200 ps and 50-250 μm 96 independent registration channels Kinetic parameters time history of reaction radiance 360nm lt λ lt 850nm spectrum Sensitive to radiation from near-UV up to near-IR Dynamic parameters stress field (unlimited amplitude) in stacked optic monitor
Shock Reactivity vs Morphology and Density Kinetics RateReaction Radiance Test
HMX particles were bonded with HTPB and Epoxy binder in mass-ratios 8218 8515 amp 9010 Six samples Ǿ4x104mm tested simultaneously HMXEpoxy samples - voids-free PBX-charges of 99TMD -fabricated with use of slurry mixing low pressure pressing vacuum casting amp pressure curing in PMMA holder -HMXHTPB samples 96-98 TMD
Calibrated boosters induce P 0 = 19-20 GPa pressure in HMX particles of test
samples
P E -4AOslash25
detonator
Oslash 40steelP VC S A
350 microm
P VC S M
MF O P to E S C T homson T S N 506 N
B rass 15
T est samples oslash4 x 09
60
Z
Z
PVC SA
PVC SM
Bo
oste
ra
cc
ep
tor
MFOP
D
0 time 40 ns
UF-HMX (16 microm)
F-HMX (111 microm)
PMMA
SW input to samples
Shock motion in PVC SM
0
10
20
30
40
100 120 140 160 180 200 220
Str
es
s G
Pa
time ns
UF-HMX (16)
F-HMX (111)
PMMA
PBXb2 - PVC SA - HMX 85 15 HTPB (900microm) - PVC SM
24 ns-precursors caused by radiation
absorption
dP P = 015
0 time 40 ns Shock motion in PVC SM
Ref HMX (114 microm)
SW in
put t
o sa
mpl
es
UF-HMX (16 microm)
F-HMX PCA (76 microm)
PBX b2 ndash PVC SA ndash P 8515 HTPB (1010 microm) ndash PVC SM induced shock in HMX particles P0 = 197 GPa
0
10
20
30
40
50
120 140 160 180 200 220
P H
E(G
Pa
)
time (ns)
HMX Ref HTPB
20 ns-precursor
Major front output
R = (ΔIΔt)OC (ΔIΔt)OA = 26 04
0
4000
8000
12000
40 80 120 160
time ns
Rad
iati
on
In
ten
sit
y [
Arb
itra
ry u
nit
s]
HMX ref -- F3
HMX ref -- F2
HMX ref -- F1
HMX ref aver
O
A
C
Major front output
Shock input
B
R = (ΔIΔt)OC (ΔIΔt)OA = 22
Kinetics RateReaction Radiance Test Basic Concept
Absolute shock reactivity value R at P0-initiation pressure is determined for each i-acceptor as a ratio between mean rate of full radiation growth and the initial rate of the reaction light growth
R = [(I final ndash I initial)(t final ndash t initial)]mean( ΔI0Δt0)mean
0
10000
20000
30000
40000
50000
0 50 100 150 200 250time (ns)
P05-F1
P05-F2
P05-F3
P05
Ra
dia
tio
n in
ten
sit
y
I (a
rbit
rary
un
its
)
Major front output
SW input
O
C
O1
AB
R = (ΔIΔt)OC (ΔIΔt)O1-A = 06
5000
15000
25000
35000
45000
0 50 100 150 200 250 300
time (ns)
Channel 1
Channel 2
Channel 3
SW input 21 ns
Major front outputPrecursor output
Ra
dia
tio
n in
ten
sit
y
I (a
rbit
rary
un
its
)
SW motion in PVC SM
A
O
B C
(ΔIΔt)OA = 78 ns-1
(ΔIΔt)OC = 206 ns-1
R = (ΔIΔt)OC (ΔIΔt)OA = 26 04
PBX b2 - ldquoUF-HMX (16 microm) 8518 HTPBrdquo-PVC SM 985 microm-sample
PBX b2 ndash ldquoF-HMX (1106 microm) 8518 HTPBrdquo-PVC SM 985 microm-sample
10000
15000
20000
25000
30000
35000
100 150 200 250 300
time (ns)
P03-F1
P03-F2
P03-F3
P03
PBXb2 - KSA - P 8515 Epoxy(985um) - KSM
Major front outputSW input
C
A B
R = (ΔIΔt)OC (ΔIΔt)OA = 06
Ra
dia
tio
n in
ten
sit
y
I (a
rbit
rary
un
its
)
O
PBX b2 ndash ldquoRC-HMX (1309 microm) 8518 HTPBrdquo-KSM 985 microm-sample
KRRR Test data
Detonation Failure Cone Test Determination of Detonation Failure Diameter
2
4
6
8
10
12
14
16
14 16 18 2 22 24 26 28 3 32 34
D lo
cal
(mm
us)
OslashPBX (mm)
HMX(165 plusmn 15 microm) 8218 wt HTPB
Detonation failure Oslash f = 165 mm
2
4
6
8
10
12
2 25 3 35 4 45 5
D lo
cal
(mm
us)
OslashPBX (mm)
UF-HMX(d 50 = 16 microm) 8515 HTPB
Detonation failure Oslash f = 220 mm
20
40
60
80
100
30 40 50 60 70
D [m
mm
s]
f [mm]
RC-HMX (1309 um)UF-HMX (164 um)HTPB = 06560164018
d f = 40 mm
time 200 ns between marks
Detonation Failure Cone Test Determination of Detonation Failure diameter
UF-HMX (16 microm) 8515 HTPB
The RS-PBX ldquoRC-HMXUF-HMXHTPB 65616418 wtrdquo is possessing the Detonation Failure diameter on the level of the purified TATB explosive material of 097 TMD (LASL data)
ID - HMX particles d50 dmin amp dmax ρ0 [gcm3] nano-Porosity
υ [vol ]
R Shock
Reactivity
Failure diam df
[mm]
Relative Shock
Sensitivity S
HMX ref (114408 um) 1877plusmn 0005 37 22 na equiv1 RC-HMX (1309 um) 1895plusmn 0007 29 06 na 03 F-HMX (1106 um) 1874plusmn0008 39 26 na 12
UF-HMX (Ball Milled) d50 = 164 um 19330005 09 04 22 02 F-HMX PCA 76 um 1939 06 1 na 05
HMX (420-595 um) 1893plusmn0012 3 13 252 06 HMX (180-210 um) na na na 155 na HMX (150-180 um) 1896 28 065 165 03 HMX (125-150 um) 1899plusmn0001 27 043 na 02
HMX (63-90 um) na na na 155 na HMX (45-53 um) 1886plusmn 0019 33 14 138 06
Fractions of HMX Class-3 particles
Shock Reactivity of PBXs vs HMX-particles Morphology Data Summary for PBXs ldquoHMX (82-85 wt )Epoxyrdquo amp ldquoHMX (85-90 wt )Epoxyrdquo
y = 17664x - 43158Rsup2 = 09622
0
05
1
15
2
25
3
0 05 1 15 2 25 3 35 4 45
Sh
oc
k R
ea
cti
vit
y R
(A
bs
olu
te v
alu
es
)
nano-voids in HMX particles υ (vol )
F-HMX 1106 microm
HMX (45-53 microm)HMX (420-595 microm)
RC-HMX 1309 microm
HMX (125-150 microm)UF-HMX 164 microm (BM)
F-HMX 76 microm (PCA) HMX (150-180 microm)
Shock Reactivity of PBXs vs nano-porosity of HMX particles Data Summary for PBXs ldquoHMX (82-85 wt )Epoxyrdquo (096-098TMD) amp ldquoHMX (85-90
wt )Epoxyrdquo (099TMD)
Agglomeration of particles causes
increase of shock reactivity
0
05
1
15
2
25
3
0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180
Sh
oc
k R
ea
cti
vit
y R
(A
bs
olu
te
HMX particle sizes d 50 (microm)
F-HMX 1106 microm
RC-HMX 1309 microm
UF-HMX 164 microm (BM)
F-HMX 76 microm (PCA)HMX (150-180 microm)
HMX Ref 1144 microm
HMX 8515 HTPB ρ0 asymp 096 TMD
Shock Reactivity of PBXs vs HMX-particle size Data Summary for PBXs ldquoHMX (82-85 wt )Epoxyrdquo amp ldquoHMX (85-90 wt )Epoxyrdquo
Re-crystallization of particles provides decrease of shock
reactivity in 37 times
1
12
14
16
18
2
22
24
0 100 200 300 400 500 600
UF-HMX (Ball Mill) 164 um
HMX (420-595 um)
HMX (180-210 um)
HMX (150-180 um)
HMX (63-90 um)
HMX (45-53 um)
d failure vs HMX particle size
HMX particle sizes d (microm)
De
ton
ati
on
Failu
re D
iam
ete
r d
f (micro
m)
Detonation failure diameter of PBXs vs HMX-particle sizes Data Summary for PBXs ldquoHMX (82-85 wt )Epoxyrdquo amp ldquoHMX (85-90 wt )Epoxyrdquo
Conclusive Remarks
Kinetic RateReaction Radiance Test and Detonation Failure Cone Test both instrumented with Multi-Channel Optical Analyzer MCOA-UC produce quantitative data on reaction rate in PBX-samples subjected to shock or detonation
Very small amount of test material (KR-RR Test 20mg Detonation Failure Test 800 mg) is required for tailoring PBXs on shock sensitivity
Role of HMX-particles morphology in shock sensitivity of PBXs is quantitatively described
Basic ldquomorphological factorrdquo determining a shock reactivity of HMX-particles is a nano-porosity of crystalline structure of the particlersquos surface layer
HMX-particles of micronsubmicron size demonstrate a shock reactivity in 5-7 times lesser than larger particles having 100-10microm sizes Experimental data are in good correlation with Kenneth Grahamrsquos results
In this context shock reactivity data strongly support the idea to minimize the amount of the surface micro-defects via the re-crystallization or comminuting particles up to the 05-1 microm-size
PBX-formulations composed with the re-crystallized particles a micron-size particles and HTPB in ratio 65616418 wt rdquo is possessing the insensitivity to shock on the level of the TATB
1) surface clusters asymp ldquoUF-HMX (06 microm)rdquo 2) ldquoUF-HMX (16 microm)rdquo particles are almost free of substructures 3) ldquoUF-HMX (06 microm)rdquo particles have a maximal density 1951 gcmsup3
ldquoUF-HMX (06 microm)rdquo particles represent themselves original clusters separated from the crystalrsquos body at commuting
β-HMX Fine amp UF-Particles applied for PBX fabrication Morphology and Density
ldquoβ-HMX (1375 microm)rdquo crystalrsquos surface structure ldquoβ-HMX UF-particle (16 microm)rdquo
bullCluster structure of the surface layer bull05-1 microm-clusters are spaced by dislocation pits cracks and fissures of 2-4 nm-size
What is a realistic max density of β-HMX ndash Wersquove found ρ0 = 1951 gcmsup3
β-HMX crystal (5075 microm ρ0 =1893plusmn0012 gcmsup3 ) was splitted in median zone of the (0-1-0)-facet
β-HMX seed has a maximum packed molecular structure ρ0 = 195 ndash 196 gcmsup3 (ICT TNO Un Coimbra ρ0 = 1951 gcmsup3 WH Rinkenbach (1951) ρ0 = 196 gcmsup3 ) Outer layer represents a continuum the cluster-type substructures spaced by dislocation pits cracks and fissures The surface layer has the average density = 186 gcmsup3 Thickness of the outer cluster-shell in which the surface-defects are concentrated attains asymp20 of crystalrsquos cross-section or occupies roughly asymp 64 of its volume The defects-less ldquoseedrdquo has 195 gcmsup3-density and occupies asymp 36 of crystalrsquos volume
Relative volume of nanoscale-porosity υ of particles determined with respect to the voids-free
UF-HMX(06 microm)-particles υ = 100 times(1-ρ01951)
ldquoRef HMX(114 microm)rdquo
ldquoRC-HMX(1309 microm)rdquo
rdquo F-HMX (111 microm)rdquo
F-HMX PCA (76 microm)
ldquoUF-HMX (16 microm)rdquo
υ equiv 1
υ = 06 υ = 17
υ = 06 υ = 04
PBX
MFOP
shock
front
emission I0 ~ AT(t)4
transmitted radiance
Iτ = I0 - Iςα
scattering ldquoςrdquo amp
absorption ldquoαrdquo
reaction
spot
Z
-to
ES
C T
ho
mso
n
TS
N 5
06 N
Sp
ectr
al
ran
ge
450 n
m lt
λlt
850 n
m
ℓ-z(t)
SM
RS--PBAN-128
40 ns time
P(t
)-fi
eld
an
aly
zer
D(t)-analyzer
Spectral range 450 nm lt λ lt850 nm
Panoramic Multi-Channel Optical
Analyzer coupled with the ESC Thomson TSN
506 N
Multi-fiber Optical ProbePMMA-fibers Oslash250 microm
360 nm lt λ lt 850 nm
0
1
2
3
4
5
6
7
8
9
10
400 450 500 550 600 650 700 750 800 850 900
Att
en
ua
tio
n [d
Bm
]
Wave Length [nm]
Light intensity attenuation in the PG-S250-64 PMMA fibers(S-grade 250 microm-diameter)
Visible radiation 380 nm lt λ lt 760 nm
700600500400 800300
Near-infrared 760 nm lt λ lt 2500 nm
Ultra-violet 10 nm lt λ lt 400 nm
Multi-Channel Optical Analyzer MCOA-UC instrumented with optical fiber ribbon stacked optical monitor (SM) and ESC Thomson TSN 506N
Light intensity attenuation in optical fibers
Meso-scale probing of the 3D reaction zone structure temporal and spatial resolution 200 ps and 50-250 μm 96 independent registration channels Kinetic parameters time history of reaction radiance 360nm lt λ lt 850nm spectrum Sensitive to radiation from near-UV up to near-IR Dynamic parameters stress field (unlimited amplitude) in stacked optic monitor
Shock Reactivity vs Morphology and Density Kinetics RateReaction Radiance Test
HMX particles were bonded with HTPB and Epoxy binder in mass-ratios 8218 8515 amp 9010 Six samples Ǿ4x104mm tested simultaneously HMXEpoxy samples - voids-free PBX-charges of 99TMD -fabricated with use of slurry mixing low pressure pressing vacuum casting amp pressure curing in PMMA holder -HMXHTPB samples 96-98 TMD
Calibrated boosters induce P 0 = 19-20 GPa pressure in HMX particles of test
samples
P E -4AOslash25
detonator
Oslash 40steelP VC S A
350 microm
P VC S M
MF O P to E S C T homson T S N 506 N
B rass 15
T est samples oslash4 x 09
60
Z
Z
PVC SA
PVC SM
Bo
oste
ra
cc
ep
tor
MFOP
D
0 time 40 ns
UF-HMX (16 microm)
F-HMX (111 microm)
PMMA
SW input to samples
Shock motion in PVC SM
0
10
20
30
40
100 120 140 160 180 200 220
Str
es
s G
Pa
time ns
UF-HMX (16)
F-HMX (111)
PMMA
PBXb2 - PVC SA - HMX 85 15 HTPB (900microm) - PVC SM
24 ns-precursors caused by radiation
absorption
dP P = 015
0 time 40 ns Shock motion in PVC SM
Ref HMX (114 microm)
SW in
put t
o sa
mpl
es
UF-HMX (16 microm)
F-HMX PCA (76 microm)
PBX b2 ndash PVC SA ndash P 8515 HTPB (1010 microm) ndash PVC SM induced shock in HMX particles P0 = 197 GPa
0
10
20
30
40
50
120 140 160 180 200 220
P H
E(G
Pa
)
time (ns)
HMX Ref HTPB
20 ns-precursor
Major front output
R = (ΔIΔt)OC (ΔIΔt)OA = 26 04
0
4000
8000
12000
40 80 120 160
time ns
Rad
iati
on
In
ten
sit
y [
Arb
itra
ry u
nit
s]
HMX ref -- F3
HMX ref -- F2
HMX ref -- F1
HMX ref aver
O
A
C
Major front output
Shock input
B
R = (ΔIΔt)OC (ΔIΔt)OA = 22
Kinetics RateReaction Radiance Test Basic Concept
Absolute shock reactivity value R at P0-initiation pressure is determined for each i-acceptor as a ratio between mean rate of full radiation growth and the initial rate of the reaction light growth
R = [(I final ndash I initial)(t final ndash t initial)]mean( ΔI0Δt0)mean
0
10000
20000
30000
40000
50000
0 50 100 150 200 250time (ns)
P05-F1
P05-F2
P05-F3
P05
Ra
dia
tio
n in
ten
sit
y
I (a
rbit
rary
un
its
)
Major front output
SW input
O
C
O1
AB
R = (ΔIΔt)OC (ΔIΔt)O1-A = 06
5000
15000
25000
35000
45000
0 50 100 150 200 250 300
time (ns)
Channel 1
Channel 2
Channel 3
SW input 21 ns
Major front outputPrecursor output
Ra
dia
tio
n in
ten
sit
y
I (a
rbit
rary
un
its
)
SW motion in PVC SM
A
O
B C
(ΔIΔt)OA = 78 ns-1
(ΔIΔt)OC = 206 ns-1
R = (ΔIΔt)OC (ΔIΔt)OA = 26 04
PBX b2 - ldquoUF-HMX (16 microm) 8518 HTPBrdquo-PVC SM 985 microm-sample
PBX b2 ndash ldquoF-HMX (1106 microm) 8518 HTPBrdquo-PVC SM 985 microm-sample
10000
15000
20000
25000
30000
35000
100 150 200 250 300
time (ns)
P03-F1
P03-F2
P03-F3
P03
PBXb2 - KSA - P 8515 Epoxy(985um) - KSM
Major front outputSW input
C
A B
R = (ΔIΔt)OC (ΔIΔt)OA = 06
Ra
dia
tio
n in
ten
sit
y
I (a
rbit
rary
un
its
)
O
PBX b2 ndash ldquoRC-HMX (1309 microm) 8518 HTPBrdquo-KSM 985 microm-sample
KRRR Test data
Detonation Failure Cone Test Determination of Detonation Failure Diameter
2
4
6
8
10
12
14
16
14 16 18 2 22 24 26 28 3 32 34
D lo
cal
(mm
us)
OslashPBX (mm)
HMX(165 plusmn 15 microm) 8218 wt HTPB
Detonation failure Oslash f = 165 mm
2
4
6
8
10
12
2 25 3 35 4 45 5
D lo
cal
(mm
us)
OslashPBX (mm)
UF-HMX(d 50 = 16 microm) 8515 HTPB
Detonation failure Oslash f = 220 mm
20
40
60
80
100
30 40 50 60 70
D [m
mm
s]
f [mm]
RC-HMX (1309 um)UF-HMX (164 um)HTPB = 06560164018
d f = 40 mm
time 200 ns between marks
Detonation Failure Cone Test Determination of Detonation Failure diameter
UF-HMX (16 microm) 8515 HTPB
The RS-PBX ldquoRC-HMXUF-HMXHTPB 65616418 wtrdquo is possessing the Detonation Failure diameter on the level of the purified TATB explosive material of 097 TMD (LASL data)
ID - HMX particles d50 dmin amp dmax ρ0 [gcm3] nano-Porosity
υ [vol ]
R Shock
Reactivity
Failure diam df
[mm]
Relative Shock
Sensitivity S
HMX ref (114408 um) 1877plusmn 0005 37 22 na equiv1 RC-HMX (1309 um) 1895plusmn 0007 29 06 na 03 F-HMX (1106 um) 1874plusmn0008 39 26 na 12
UF-HMX (Ball Milled) d50 = 164 um 19330005 09 04 22 02 F-HMX PCA 76 um 1939 06 1 na 05
HMX (420-595 um) 1893plusmn0012 3 13 252 06 HMX (180-210 um) na na na 155 na HMX (150-180 um) 1896 28 065 165 03 HMX (125-150 um) 1899plusmn0001 27 043 na 02
HMX (63-90 um) na na na 155 na HMX (45-53 um) 1886plusmn 0019 33 14 138 06
Fractions of HMX Class-3 particles
Shock Reactivity of PBXs vs HMX-particles Morphology Data Summary for PBXs ldquoHMX (82-85 wt )Epoxyrdquo amp ldquoHMX (85-90 wt )Epoxyrdquo
y = 17664x - 43158Rsup2 = 09622
0
05
1
15
2
25
3
0 05 1 15 2 25 3 35 4 45
Sh
oc
k R
ea
cti
vit
y R
(A
bs
olu
te v
alu
es
)
nano-voids in HMX particles υ (vol )
F-HMX 1106 microm
HMX (45-53 microm)HMX (420-595 microm)
RC-HMX 1309 microm
HMX (125-150 microm)UF-HMX 164 microm (BM)
F-HMX 76 microm (PCA) HMX (150-180 microm)
Shock Reactivity of PBXs vs nano-porosity of HMX particles Data Summary for PBXs ldquoHMX (82-85 wt )Epoxyrdquo (096-098TMD) amp ldquoHMX (85-90
wt )Epoxyrdquo (099TMD)
Agglomeration of particles causes
increase of shock reactivity
0
05
1
15
2
25
3
0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180
Sh
oc
k R
ea
cti
vit
y R
(A
bs
olu
te
HMX particle sizes d 50 (microm)
F-HMX 1106 microm
RC-HMX 1309 microm
UF-HMX 164 microm (BM)
F-HMX 76 microm (PCA)HMX (150-180 microm)
HMX Ref 1144 microm
HMX 8515 HTPB ρ0 asymp 096 TMD
Shock Reactivity of PBXs vs HMX-particle size Data Summary for PBXs ldquoHMX (82-85 wt )Epoxyrdquo amp ldquoHMX (85-90 wt )Epoxyrdquo
Re-crystallization of particles provides decrease of shock
reactivity in 37 times
1
12
14
16
18
2
22
24
0 100 200 300 400 500 600
UF-HMX (Ball Mill) 164 um
HMX (420-595 um)
HMX (180-210 um)
HMX (150-180 um)
HMX (63-90 um)
HMX (45-53 um)
d failure vs HMX particle size
HMX particle sizes d (microm)
De
ton
ati
on
Failu
re D
iam
ete
r d
f (micro
m)
Detonation failure diameter of PBXs vs HMX-particle sizes Data Summary for PBXs ldquoHMX (82-85 wt )Epoxyrdquo amp ldquoHMX (85-90 wt )Epoxyrdquo
Conclusive Remarks
Kinetic RateReaction Radiance Test and Detonation Failure Cone Test both instrumented with Multi-Channel Optical Analyzer MCOA-UC produce quantitative data on reaction rate in PBX-samples subjected to shock or detonation
Very small amount of test material (KR-RR Test 20mg Detonation Failure Test 800 mg) is required for tailoring PBXs on shock sensitivity
Role of HMX-particles morphology in shock sensitivity of PBXs is quantitatively described
Basic ldquomorphological factorrdquo determining a shock reactivity of HMX-particles is a nano-porosity of crystalline structure of the particlersquos surface layer
HMX-particles of micronsubmicron size demonstrate a shock reactivity in 5-7 times lesser than larger particles having 100-10microm sizes Experimental data are in good correlation with Kenneth Grahamrsquos results
In this context shock reactivity data strongly support the idea to minimize the amount of the surface micro-defects via the re-crystallization or comminuting particles up to the 05-1 microm-size
PBX-formulations composed with the re-crystallized particles a micron-size particles and HTPB in ratio 65616418 wt rdquo is possessing the insensitivity to shock on the level of the TATB
What is a realistic max density of β-HMX ndash Wersquove found ρ0 = 1951 gcmsup3
β-HMX crystal (5075 microm ρ0 =1893plusmn0012 gcmsup3 ) was splitted in median zone of the (0-1-0)-facet
β-HMX seed has a maximum packed molecular structure ρ0 = 195 ndash 196 gcmsup3 (ICT TNO Un Coimbra ρ0 = 1951 gcmsup3 WH Rinkenbach (1951) ρ0 = 196 gcmsup3 ) Outer layer represents a continuum the cluster-type substructures spaced by dislocation pits cracks and fissures The surface layer has the average density = 186 gcmsup3 Thickness of the outer cluster-shell in which the surface-defects are concentrated attains asymp20 of crystalrsquos cross-section or occupies roughly asymp 64 of its volume The defects-less ldquoseedrdquo has 195 gcmsup3-density and occupies asymp 36 of crystalrsquos volume
Relative volume of nanoscale-porosity υ of particles determined with respect to the voids-free
UF-HMX(06 microm)-particles υ = 100 times(1-ρ01951)
ldquoRef HMX(114 microm)rdquo
ldquoRC-HMX(1309 microm)rdquo
rdquo F-HMX (111 microm)rdquo
F-HMX PCA (76 microm)
ldquoUF-HMX (16 microm)rdquo
υ equiv 1
υ = 06 υ = 17
υ = 06 υ = 04
PBX
MFOP
shock
front
emission I0 ~ AT(t)4
transmitted radiance
Iτ = I0 - Iςα
scattering ldquoςrdquo amp
absorption ldquoαrdquo
reaction
spot
Z
-to
ES
C T
ho
mso
n
TS
N 5
06 N
Sp
ectr
al
ran
ge
450 n
m lt
λlt
850 n
m
ℓ-z(t)
SM
RS--PBAN-128
40 ns time
P(t
)-fi
eld
an
aly
zer
D(t)-analyzer
Spectral range 450 nm lt λ lt850 nm
Panoramic Multi-Channel Optical
Analyzer coupled with the ESC Thomson TSN
506 N
Multi-fiber Optical ProbePMMA-fibers Oslash250 microm
360 nm lt λ lt 850 nm
0
1
2
3
4
5
6
7
8
9
10
400 450 500 550 600 650 700 750 800 850 900
Att
en
ua
tio
n [d
Bm
]
Wave Length [nm]
Light intensity attenuation in the PG-S250-64 PMMA fibers(S-grade 250 microm-diameter)
Visible radiation 380 nm lt λ lt 760 nm
700600500400 800300
Near-infrared 760 nm lt λ lt 2500 nm
Ultra-violet 10 nm lt λ lt 400 nm
Multi-Channel Optical Analyzer MCOA-UC instrumented with optical fiber ribbon stacked optical monitor (SM) and ESC Thomson TSN 506N
Light intensity attenuation in optical fibers
Meso-scale probing of the 3D reaction zone structure temporal and spatial resolution 200 ps and 50-250 μm 96 independent registration channels Kinetic parameters time history of reaction radiance 360nm lt λ lt 850nm spectrum Sensitive to radiation from near-UV up to near-IR Dynamic parameters stress field (unlimited amplitude) in stacked optic monitor
Shock Reactivity vs Morphology and Density Kinetics RateReaction Radiance Test
HMX particles were bonded with HTPB and Epoxy binder in mass-ratios 8218 8515 amp 9010 Six samples Ǿ4x104mm tested simultaneously HMXEpoxy samples - voids-free PBX-charges of 99TMD -fabricated with use of slurry mixing low pressure pressing vacuum casting amp pressure curing in PMMA holder -HMXHTPB samples 96-98 TMD
Calibrated boosters induce P 0 = 19-20 GPa pressure in HMX particles of test
samples
P E -4AOslash25
detonator
Oslash 40steelP VC S A
350 microm
P VC S M
MF O P to E S C T homson T S N 506 N
B rass 15
T est samples oslash4 x 09
60
Z
Z
PVC SA
PVC SM
Bo
oste
ra
cc
ep
tor
MFOP
D
0 time 40 ns
UF-HMX (16 microm)
F-HMX (111 microm)
PMMA
SW input to samples
Shock motion in PVC SM
0
10
20
30
40
100 120 140 160 180 200 220
Str
es
s G
Pa
time ns
UF-HMX (16)
F-HMX (111)
PMMA
PBXb2 - PVC SA - HMX 85 15 HTPB (900microm) - PVC SM
24 ns-precursors caused by radiation
absorption
dP P = 015
0 time 40 ns Shock motion in PVC SM
Ref HMX (114 microm)
SW in
put t
o sa
mpl
es
UF-HMX (16 microm)
F-HMX PCA (76 microm)
PBX b2 ndash PVC SA ndash P 8515 HTPB (1010 microm) ndash PVC SM induced shock in HMX particles P0 = 197 GPa
0
10
20
30
40
50
120 140 160 180 200 220
P H
E(G
Pa
)
time (ns)
HMX Ref HTPB
20 ns-precursor
Major front output
R = (ΔIΔt)OC (ΔIΔt)OA = 26 04
0
4000
8000
12000
40 80 120 160
time ns
Rad
iati
on
In
ten
sit
y [
Arb
itra
ry u
nit
s]
HMX ref -- F3
HMX ref -- F2
HMX ref -- F1
HMX ref aver
O
A
C
Major front output
Shock input
B
R = (ΔIΔt)OC (ΔIΔt)OA = 22
Kinetics RateReaction Radiance Test Basic Concept
Absolute shock reactivity value R at P0-initiation pressure is determined for each i-acceptor as a ratio between mean rate of full radiation growth and the initial rate of the reaction light growth
R = [(I final ndash I initial)(t final ndash t initial)]mean( ΔI0Δt0)mean
0
10000
20000
30000
40000
50000
0 50 100 150 200 250time (ns)
P05-F1
P05-F2
P05-F3
P05
Ra
dia
tio
n in
ten
sit
y
I (a
rbit
rary
un
its
)
Major front output
SW input
O
C
O1
AB
R = (ΔIΔt)OC (ΔIΔt)O1-A = 06
5000
15000
25000
35000
45000
0 50 100 150 200 250 300
time (ns)
Channel 1
Channel 2
Channel 3
SW input 21 ns
Major front outputPrecursor output
Ra
dia
tio
n in
ten
sit
y
I (a
rbit
rary
un
its
)
SW motion in PVC SM
A
O
B C
(ΔIΔt)OA = 78 ns-1
(ΔIΔt)OC = 206 ns-1
R = (ΔIΔt)OC (ΔIΔt)OA = 26 04
PBX b2 - ldquoUF-HMX (16 microm) 8518 HTPBrdquo-PVC SM 985 microm-sample
PBX b2 ndash ldquoF-HMX (1106 microm) 8518 HTPBrdquo-PVC SM 985 microm-sample
10000
15000
20000
25000
30000
35000
100 150 200 250 300
time (ns)
P03-F1
P03-F2
P03-F3
P03
PBXb2 - KSA - P 8515 Epoxy(985um) - KSM
Major front outputSW input
C
A B
R = (ΔIΔt)OC (ΔIΔt)OA = 06
Ra
dia
tio
n in
ten
sit
y
I (a
rbit
rary
un
its
)
O
PBX b2 ndash ldquoRC-HMX (1309 microm) 8518 HTPBrdquo-KSM 985 microm-sample
KRRR Test data
Detonation Failure Cone Test Determination of Detonation Failure Diameter
2
4
6
8
10
12
14
16
14 16 18 2 22 24 26 28 3 32 34
D lo
cal
(mm
us)
OslashPBX (mm)
HMX(165 plusmn 15 microm) 8218 wt HTPB
Detonation failure Oslash f = 165 mm
2
4
6
8
10
12
2 25 3 35 4 45 5
D lo
cal
(mm
us)
OslashPBX (mm)
UF-HMX(d 50 = 16 microm) 8515 HTPB
Detonation failure Oslash f = 220 mm
20
40
60
80
100
30 40 50 60 70
D [m
mm
s]
f [mm]
RC-HMX (1309 um)UF-HMX (164 um)HTPB = 06560164018
d f = 40 mm
time 200 ns between marks
Detonation Failure Cone Test Determination of Detonation Failure diameter
UF-HMX (16 microm) 8515 HTPB
The RS-PBX ldquoRC-HMXUF-HMXHTPB 65616418 wtrdquo is possessing the Detonation Failure diameter on the level of the purified TATB explosive material of 097 TMD (LASL data)
ID - HMX particles d50 dmin amp dmax ρ0 [gcm3] nano-Porosity
υ [vol ]
R Shock
Reactivity
Failure diam df
[mm]
Relative Shock
Sensitivity S
HMX ref (114408 um) 1877plusmn 0005 37 22 na equiv1 RC-HMX (1309 um) 1895plusmn 0007 29 06 na 03 F-HMX (1106 um) 1874plusmn0008 39 26 na 12
UF-HMX (Ball Milled) d50 = 164 um 19330005 09 04 22 02 F-HMX PCA 76 um 1939 06 1 na 05
HMX (420-595 um) 1893plusmn0012 3 13 252 06 HMX (180-210 um) na na na 155 na HMX (150-180 um) 1896 28 065 165 03 HMX (125-150 um) 1899plusmn0001 27 043 na 02
HMX (63-90 um) na na na 155 na HMX (45-53 um) 1886plusmn 0019 33 14 138 06
Fractions of HMX Class-3 particles
Shock Reactivity of PBXs vs HMX-particles Morphology Data Summary for PBXs ldquoHMX (82-85 wt )Epoxyrdquo amp ldquoHMX (85-90 wt )Epoxyrdquo
y = 17664x - 43158Rsup2 = 09622
0
05
1
15
2
25
3
0 05 1 15 2 25 3 35 4 45
Sh
oc
k R
ea
cti
vit
y R
(A
bs
olu
te v
alu
es
)
nano-voids in HMX particles υ (vol )
F-HMX 1106 microm
HMX (45-53 microm)HMX (420-595 microm)
RC-HMX 1309 microm
HMX (125-150 microm)UF-HMX 164 microm (BM)
F-HMX 76 microm (PCA) HMX (150-180 microm)
Shock Reactivity of PBXs vs nano-porosity of HMX particles Data Summary for PBXs ldquoHMX (82-85 wt )Epoxyrdquo (096-098TMD) amp ldquoHMX (85-90
wt )Epoxyrdquo (099TMD)
Agglomeration of particles causes
increase of shock reactivity
0
05
1
15
2
25
3
0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180
Sh
oc
k R
ea
cti
vit
y R
(A
bs
olu
te
HMX particle sizes d 50 (microm)
F-HMX 1106 microm
RC-HMX 1309 microm
UF-HMX 164 microm (BM)
F-HMX 76 microm (PCA)HMX (150-180 microm)
HMX Ref 1144 microm
HMX 8515 HTPB ρ0 asymp 096 TMD
Shock Reactivity of PBXs vs HMX-particle size Data Summary for PBXs ldquoHMX (82-85 wt )Epoxyrdquo amp ldquoHMX (85-90 wt )Epoxyrdquo
Re-crystallization of particles provides decrease of shock
reactivity in 37 times
1
12
14
16
18
2
22
24
0 100 200 300 400 500 600
UF-HMX (Ball Mill) 164 um
HMX (420-595 um)
HMX (180-210 um)
HMX (150-180 um)
HMX (63-90 um)
HMX (45-53 um)
d failure vs HMX particle size
HMX particle sizes d (microm)
De
ton
ati
on
Failu
re D
iam
ete
r d
f (micro
m)
Detonation failure diameter of PBXs vs HMX-particle sizes Data Summary for PBXs ldquoHMX (82-85 wt )Epoxyrdquo amp ldquoHMX (85-90 wt )Epoxyrdquo
Conclusive Remarks
Kinetic RateReaction Radiance Test and Detonation Failure Cone Test both instrumented with Multi-Channel Optical Analyzer MCOA-UC produce quantitative data on reaction rate in PBX-samples subjected to shock or detonation
Very small amount of test material (KR-RR Test 20mg Detonation Failure Test 800 mg) is required for tailoring PBXs on shock sensitivity
Role of HMX-particles morphology in shock sensitivity of PBXs is quantitatively described
Basic ldquomorphological factorrdquo determining a shock reactivity of HMX-particles is a nano-porosity of crystalline structure of the particlersquos surface layer
HMX-particles of micronsubmicron size demonstrate a shock reactivity in 5-7 times lesser than larger particles having 100-10microm sizes Experimental data are in good correlation with Kenneth Grahamrsquos results
In this context shock reactivity data strongly support the idea to minimize the amount of the surface micro-defects via the re-crystallization or comminuting particles up to the 05-1 microm-size
PBX-formulations composed with the re-crystallized particles a micron-size particles and HTPB in ratio 65616418 wt rdquo is possessing the insensitivity to shock on the level of the TATB
PBX
MFOP
shock
front
emission I0 ~ AT(t)4
transmitted radiance
Iτ = I0 - Iςα
scattering ldquoςrdquo amp
absorption ldquoαrdquo
reaction
spot
Z
-to
ES
C T
ho
mso
n
TS
N 5
06 N
Sp
ectr
al
ran
ge
450 n
m lt
λlt
850 n
m
ℓ-z(t)
SM
RS--PBAN-128
40 ns time
P(t
)-fi
eld
an
aly
zer
D(t)-analyzer
Spectral range 450 nm lt λ lt850 nm
Panoramic Multi-Channel Optical
Analyzer coupled with the ESC Thomson TSN
506 N
Multi-fiber Optical ProbePMMA-fibers Oslash250 microm
360 nm lt λ lt 850 nm
0
1
2
3
4
5
6
7
8
9
10
400 450 500 550 600 650 700 750 800 850 900
Att
en
ua
tio
n [d
Bm
]
Wave Length [nm]
Light intensity attenuation in the PG-S250-64 PMMA fibers(S-grade 250 microm-diameter)
Visible radiation 380 nm lt λ lt 760 nm
700600500400 800300
Near-infrared 760 nm lt λ lt 2500 nm
Ultra-violet 10 nm lt λ lt 400 nm
Multi-Channel Optical Analyzer MCOA-UC instrumented with optical fiber ribbon stacked optical monitor (SM) and ESC Thomson TSN 506N
Light intensity attenuation in optical fibers
Meso-scale probing of the 3D reaction zone structure temporal and spatial resolution 200 ps and 50-250 μm 96 independent registration channels Kinetic parameters time history of reaction radiance 360nm lt λ lt 850nm spectrum Sensitive to radiation from near-UV up to near-IR Dynamic parameters stress field (unlimited amplitude) in stacked optic monitor
Shock Reactivity vs Morphology and Density Kinetics RateReaction Radiance Test
HMX particles were bonded with HTPB and Epoxy binder in mass-ratios 8218 8515 amp 9010 Six samples Ǿ4x104mm tested simultaneously HMXEpoxy samples - voids-free PBX-charges of 99TMD -fabricated with use of slurry mixing low pressure pressing vacuum casting amp pressure curing in PMMA holder -HMXHTPB samples 96-98 TMD
Calibrated boosters induce P 0 = 19-20 GPa pressure in HMX particles of test
samples
P E -4AOslash25
detonator
Oslash 40steelP VC S A
350 microm
P VC S M
MF O P to E S C T homson T S N 506 N
B rass 15
T est samples oslash4 x 09
60
Z
Z
PVC SA
PVC SM
Bo
oste
ra
cc
ep
tor
MFOP
D
0 time 40 ns
UF-HMX (16 microm)
F-HMX (111 microm)
PMMA
SW input to samples
Shock motion in PVC SM
0
10
20
30
40
100 120 140 160 180 200 220
Str
es
s G
Pa
time ns
UF-HMX (16)
F-HMX (111)
PMMA
PBXb2 - PVC SA - HMX 85 15 HTPB (900microm) - PVC SM
24 ns-precursors caused by radiation
absorption
dP P = 015
0 time 40 ns Shock motion in PVC SM
Ref HMX (114 microm)
SW in
put t
o sa
mpl
es
UF-HMX (16 microm)
F-HMX PCA (76 microm)
PBX b2 ndash PVC SA ndash P 8515 HTPB (1010 microm) ndash PVC SM induced shock in HMX particles P0 = 197 GPa
0
10
20
30
40
50
120 140 160 180 200 220
P H
E(G
Pa
)
time (ns)
HMX Ref HTPB
20 ns-precursor
Major front output
R = (ΔIΔt)OC (ΔIΔt)OA = 26 04
0
4000
8000
12000
40 80 120 160
time ns
Rad
iati
on
In
ten
sit
y [
Arb
itra
ry u
nit
s]
HMX ref -- F3
HMX ref -- F2
HMX ref -- F1
HMX ref aver
O
A
C
Major front output
Shock input
B
R = (ΔIΔt)OC (ΔIΔt)OA = 22
Kinetics RateReaction Radiance Test Basic Concept
Absolute shock reactivity value R at P0-initiation pressure is determined for each i-acceptor as a ratio between mean rate of full radiation growth and the initial rate of the reaction light growth
R = [(I final ndash I initial)(t final ndash t initial)]mean( ΔI0Δt0)mean
0
10000
20000
30000
40000
50000
0 50 100 150 200 250time (ns)
P05-F1
P05-F2
P05-F3
P05
Ra
dia
tio
n in
ten
sit
y
I (a
rbit
rary
un
its
)
Major front output
SW input
O
C
O1
AB
R = (ΔIΔt)OC (ΔIΔt)O1-A = 06
5000
15000
25000
35000
45000
0 50 100 150 200 250 300
time (ns)
Channel 1
Channel 2
Channel 3
SW input 21 ns
Major front outputPrecursor output
Ra
dia
tio
n in
ten
sit
y
I (a
rbit
rary
un
its
)
SW motion in PVC SM
A
O
B C
(ΔIΔt)OA = 78 ns-1
(ΔIΔt)OC = 206 ns-1
R = (ΔIΔt)OC (ΔIΔt)OA = 26 04
PBX b2 - ldquoUF-HMX (16 microm) 8518 HTPBrdquo-PVC SM 985 microm-sample
PBX b2 ndash ldquoF-HMX (1106 microm) 8518 HTPBrdquo-PVC SM 985 microm-sample
10000
15000
20000
25000
30000
35000
100 150 200 250 300
time (ns)
P03-F1
P03-F2
P03-F3
P03
PBXb2 - KSA - P 8515 Epoxy(985um) - KSM
Major front outputSW input
C
A B
R = (ΔIΔt)OC (ΔIΔt)OA = 06
Ra
dia
tio
n in
ten
sit
y
I (a
rbit
rary
un
its
)
O
PBX b2 ndash ldquoRC-HMX (1309 microm) 8518 HTPBrdquo-KSM 985 microm-sample
KRRR Test data
Detonation Failure Cone Test Determination of Detonation Failure Diameter
2
4
6
8
10
12
14
16
14 16 18 2 22 24 26 28 3 32 34
D lo
cal
(mm
us)
OslashPBX (mm)
HMX(165 plusmn 15 microm) 8218 wt HTPB
Detonation failure Oslash f = 165 mm
2
4
6
8
10
12
2 25 3 35 4 45 5
D lo
cal
(mm
us)
OslashPBX (mm)
UF-HMX(d 50 = 16 microm) 8515 HTPB
Detonation failure Oslash f = 220 mm
20
40
60
80
100
30 40 50 60 70
D [m
mm
s]
f [mm]
RC-HMX (1309 um)UF-HMX (164 um)HTPB = 06560164018
d f = 40 mm
time 200 ns between marks
Detonation Failure Cone Test Determination of Detonation Failure diameter
UF-HMX (16 microm) 8515 HTPB
The RS-PBX ldquoRC-HMXUF-HMXHTPB 65616418 wtrdquo is possessing the Detonation Failure diameter on the level of the purified TATB explosive material of 097 TMD (LASL data)
ID - HMX particles d50 dmin amp dmax ρ0 [gcm3] nano-Porosity
υ [vol ]
R Shock
Reactivity
Failure diam df
[mm]
Relative Shock
Sensitivity S
HMX ref (114408 um) 1877plusmn 0005 37 22 na equiv1 RC-HMX (1309 um) 1895plusmn 0007 29 06 na 03 F-HMX (1106 um) 1874plusmn0008 39 26 na 12
UF-HMX (Ball Milled) d50 = 164 um 19330005 09 04 22 02 F-HMX PCA 76 um 1939 06 1 na 05
HMX (420-595 um) 1893plusmn0012 3 13 252 06 HMX (180-210 um) na na na 155 na HMX (150-180 um) 1896 28 065 165 03 HMX (125-150 um) 1899plusmn0001 27 043 na 02
HMX (63-90 um) na na na 155 na HMX (45-53 um) 1886plusmn 0019 33 14 138 06
Fractions of HMX Class-3 particles
Shock Reactivity of PBXs vs HMX-particles Morphology Data Summary for PBXs ldquoHMX (82-85 wt )Epoxyrdquo amp ldquoHMX (85-90 wt )Epoxyrdquo
y = 17664x - 43158Rsup2 = 09622
0
05
1
15
2
25
3
0 05 1 15 2 25 3 35 4 45
Sh
oc
k R
ea
cti
vit
y R
(A
bs
olu
te v
alu
es
)
nano-voids in HMX particles υ (vol )
F-HMX 1106 microm
HMX (45-53 microm)HMX (420-595 microm)
RC-HMX 1309 microm
HMX (125-150 microm)UF-HMX 164 microm (BM)
F-HMX 76 microm (PCA) HMX (150-180 microm)
Shock Reactivity of PBXs vs nano-porosity of HMX particles Data Summary for PBXs ldquoHMX (82-85 wt )Epoxyrdquo (096-098TMD) amp ldquoHMX (85-90
wt )Epoxyrdquo (099TMD)
Agglomeration of particles causes
increase of shock reactivity
0
05
1
15
2
25
3
0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180
Sh
oc
k R
ea
cti
vit
y R
(A
bs
olu
te
HMX particle sizes d 50 (microm)
F-HMX 1106 microm
RC-HMX 1309 microm
UF-HMX 164 microm (BM)
F-HMX 76 microm (PCA)HMX (150-180 microm)
HMX Ref 1144 microm
HMX 8515 HTPB ρ0 asymp 096 TMD
Shock Reactivity of PBXs vs HMX-particle size Data Summary for PBXs ldquoHMX (82-85 wt )Epoxyrdquo amp ldquoHMX (85-90 wt )Epoxyrdquo
Re-crystallization of particles provides decrease of shock
reactivity in 37 times
1
12
14
16
18
2
22
24
0 100 200 300 400 500 600
UF-HMX (Ball Mill) 164 um
HMX (420-595 um)
HMX (180-210 um)
HMX (150-180 um)
HMX (63-90 um)
HMX (45-53 um)
d failure vs HMX particle size
HMX particle sizes d (microm)
De
ton
ati
on
Failu
re D
iam
ete
r d
f (micro
m)
Detonation failure diameter of PBXs vs HMX-particle sizes Data Summary for PBXs ldquoHMX (82-85 wt )Epoxyrdquo amp ldquoHMX (85-90 wt )Epoxyrdquo
Conclusive Remarks
Kinetic RateReaction Radiance Test and Detonation Failure Cone Test both instrumented with Multi-Channel Optical Analyzer MCOA-UC produce quantitative data on reaction rate in PBX-samples subjected to shock or detonation
Very small amount of test material (KR-RR Test 20mg Detonation Failure Test 800 mg) is required for tailoring PBXs on shock sensitivity
Role of HMX-particles morphology in shock sensitivity of PBXs is quantitatively described
Basic ldquomorphological factorrdquo determining a shock reactivity of HMX-particles is a nano-porosity of crystalline structure of the particlersquos surface layer
HMX-particles of micronsubmicron size demonstrate a shock reactivity in 5-7 times lesser than larger particles having 100-10microm sizes Experimental data are in good correlation with Kenneth Grahamrsquos results
In this context shock reactivity data strongly support the idea to minimize the amount of the surface micro-defects via the re-crystallization or comminuting particles up to the 05-1 microm-size
PBX-formulations composed with the re-crystallized particles a micron-size particles and HTPB in ratio 65616418 wt rdquo is possessing the insensitivity to shock on the level of the TATB
Shock Reactivity vs Morphology and Density Kinetics RateReaction Radiance Test
HMX particles were bonded with HTPB and Epoxy binder in mass-ratios 8218 8515 amp 9010 Six samples Ǿ4x104mm tested simultaneously HMXEpoxy samples - voids-free PBX-charges of 99TMD -fabricated with use of slurry mixing low pressure pressing vacuum casting amp pressure curing in PMMA holder -HMXHTPB samples 96-98 TMD
Calibrated boosters induce P 0 = 19-20 GPa pressure in HMX particles of test
samples
P E -4AOslash25
detonator
Oslash 40steelP VC S A
350 microm
P VC S M
MF O P to E S C T homson T S N 506 N
B rass 15
T est samples oslash4 x 09
60
Z
Z
PVC SA
PVC SM
Bo
oste
ra
cc
ep
tor
MFOP
D
0 time 40 ns
UF-HMX (16 microm)
F-HMX (111 microm)
PMMA
SW input to samples
Shock motion in PVC SM
0
10
20
30
40
100 120 140 160 180 200 220
Str
es
s G
Pa
time ns
UF-HMX (16)
F-HMX (111)
PMMA
PBXb2 - PVC SA - HMX 85 15 HTPB (900microm) - PVC SM
24 ns-precursors caused by radiation
absorption
dP P = 015
0 time 40 ns Shock motion in PVC SM
Ref HMX (114 microm)
SW in
put t
o sa
mpl
es
UF-HMX (16 microm)
F-HMX PCA (76 microm)
PBX b2 ndash PVC SA ndash P 8515 HTPB (1010 microm) ndash PVC SM induced shock in HMX particles P0 = 197 GPa
0
10
20
30
40
50
120 140 160 180 200 220
P H
E(G
Pa
)
time (ns)
HMX Ref HTPB
20 ns-precursor
Major front output
R = (ΔIΔt)OC (ΔIΔt)OA = 26 04
0
4000
8000
12000
40 80 120 160
time ns
Rad
iati
on
In
ten
sit
y [
Arb
itra
ry u
nit
s]
HMX ref -- F3
HMX ref -- F2
HMX ref -- F1
HMX ref aver
O
A
C
Major front output
Shock input
B
R = (ΔIΔt)OC (ΔIΔt)OA = 22
Kinetics RateReaction Radiance Test Basic Concept
Absolute shock reactivity value R at P0-initiation pressure is determined for each i-acceptor as a ratio between mean rate of full radiation growth and the initial rate of the reaction light growth
R = [(I final ndash I initial)(t final ndash t initial)]mean( ΔI0Δt0)mean
0
10000
20000
30000
40000
50000
0 50 100 150 200 250time (ns)
P05-F1
P05-F2
P05-F3
P05
Ra
dia
tio
n in
ten
sit
y
I (a
rbit
rary
un
its
)
Major front output
SW input
O
C
O1
AB
R = (ΔIΔt)OC (ΔIΔt)O1-A = 06
5000
15000
25000
35000
45000
0 50 100 150 200 250 300
time (ns)
Channel 1
Channel 2
Channel 3
SW input 21 ns
Major front outputPrecursor output
Ra
dia
tio
n in
ten
sit
y
I (a
rbit
rary
un
its
)
SW motion in PVC SM
A
O
B C
(ΔIΔt)OA = 78 ns-1
(ΔIΔt)OC = 206 ns-1
R = (ΔIΔt)OC (ΔIΔt)OA = 26 04
PBX b2 - ldquoUF-HMX (16 microm) 8518 HTPBrdquo-PVC SM 985 microm-sample
PBX b2 ndash ldquoF-HMX (1106 microm) 8518 HTPBrdquo-PVC SM 985 microm-sample
10000
15000
20000
25000
30000
35000
100 150 200 250 300
time (ns)
P03-F1
P03-F2
P03-F3
P03
PBXb2 - KSA - P 8515 Epoxy(985um) - KSM
Major front outputSW input
C
A B
R = (ΔIΔt)OC (ΔIΔt)OA = 06
Ra
dia
tio
n in
ten
sit
y
I (a
rbit
rary
un
its
)
O
PBX b2 ndash ldquoRC-HMX (1309 microm) 8518 HTPBrdquo-KSM 985 microm-sample
KRRR Test data
Detonation Failure Cone Test Determination of Detonation Failure Diameter
2
4
6
8
10
12
14
16
14 16 18 2 22 24 26 28 3 32 34
D lo
cal
(mm
us)
OslashPBX (mm)
HMX(165 plusmn 15 microm) 8218 wt HTPB
Detonation failure Oslash f = 165 mm
2
4
6
8
10
12
2 25 3 35 4 45 5
D lo
cal
(mm
us)
OslashPBX (mm)
UF-HMX(d 50 = 16 microm) 8515 HTPB
Detonation failure Oslash f = 220 mm
20
40
60
80
100
30 40 50 60 70
D [m
mm
s]
f [mm]
RC-HMX (1309 um)UF-HMX (164 um)HTPB = 06560164018
d f = 40 mm
time 200 ns between marks
Detonation Failure Cone Test Determination of Detonation Failure diameter
UF-HMX (16 microm) 8515 HTPB
The RS-PBX ldquoRC-HMXUF-HMXHTPB 65616418 wtrdquo is possessing the Detonation Failure diameter on the level of the purified TATB explosive material of 097 TMD (LASL data)
ID - HMX particles d50 dmin amp dmax ρ0 [gcm3] nano-Porosity
υ [vol ]
R Shock
Reactivity
Failure diam df
[mm]
Relative Shock
Sensitivity S
HMX ref (114408 um) 1877plusmn 0005 37 22 na equiv1 RC-HMX (1309 um) 1895plusmn 0007 29 06 na 03 F-HMX (1106 um) 1874plusmn0008 39 26 na 12
UF-HMX (Ball Milled) d50 = 164 um 19330005 09 04 22 02 F-HMX PCA 76 um 1939 06 1 na 05
HMX (420-595 um) 1893plusmn0012 3 13 252 06 HMX (180-210 um) na na na 155 na HMX (150-180 um) 1896 28 065 165 03 HMX (125-150 um) 1899plusmn0001 27 043 na 02
HMX (63-90 um) na na na 155 na HMX (45-53 um) 1886plusmn 0019 33 14 138 06
Fractions of HMX Class-3 particles
Shock Reactivity of PBXs vs HMX-particles Morphology Data Summary for PBXs ldquoHMX (82-85 wt )Epoxyrdquo amp ldquoHMX (85-90 wt )Epoxyrdquo
y = 17664x - 43158Rsup2 = 09622
0
05
1
15
2
25
3
0 05 1 15 2 25 3 35 4 45
Sh
oc
k R
ea
cti
vit
y R
(A
bs
olu
te v
alu
es
)
nano-voids in HMX particles υ (vol )
F-HMX 1106 microm
HMX (45-53 microm)HMX (420-595 microm)
RC-HMX 1309 microm
HMX (125-150 microm)UF-HMX 164 microm (BM)
F-HMX 76 microm (PCA) HMX (150-180 microm)
Shock Reactivity of PBXs vs nano-porosity of HMX particles Data Summary for PBXs ldquoHMX (82-85 wt )Epoxyrdquo (096-098TMD) amp ldquoHMX (85-90
wt )Epoxyrdquo (099TMD)
Agglomeration of particles causes
increase of shock reactivity
0
05
1
15
2
25
3
0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180
Sh
oc
k R
ea
cti
vit
y R
(A
bs
olu
te
HMX particle sizes d 50 (microm)
F-HMX 1106 microm
RC-HMX 1309 microm
UF-HMX 164 microm (BM)
F-HMX 76 microm (PCA)HMX (150-180 microm)
HMX Ref 1144 microm
HMX 8515 HTPB ρ0 asymp 096 TMD
Shock Reactivity of PBXs vs HMX-particle size Data Summary for PBXs ldquoHMX (82-85 wt )Epoxyrdquo amp ldquoHMX (85-90 wt )Epoxyrdquo
Re-crystallization of particles provides decrease of shock
reactivity in 37 times
1
12
14
16
18
2
22
24
0 100 200 300 400 500 600
UF-HMX (Ball Mill) 164 um
HMX (420-595 um)
HMX (180-210 um)
HMX (150-180 um)
HMX (63-90 um)
HMX (45-53 um)
d failure vs HMX particle size
HMX particle sizes d (microm)
De
ton
ati
on
Failu
re D
iam
ete
r d
f (micro
m)
Detonation failure diameter of PBXs vs HMX-particle sizes Data Summary for PBXs ldquoHMX (82-85 wt )Epoxyrdquo amp ldquoHMX (85-90 wt )Epoxyrdquo
Conclusive Remarks
Kinetic RateReaction Radiance Test and Detonation Failure Cone Test both instrumented with Multi-Channel Optical Analyzer MCOA-UC produce quantitative data on reaction rate in PBX-samples subjected to shock or detonation
Very small amount of test material (KR-RR Test 20mg Detonation Failure Test 800 mg) is required for tailoring PBXs on shock sensitivity
Role of HMX-particles morphology in shock sensitivity of PBXs is quantitatively described
Basic ldquomorphological factorrdquo determining a shock reactivity of HMX-particles is a nano-porosity of crystalline structure of the particlersquos surface layer
HMX-particles of micronsubmicron size demonstrate a shock reactivity in 5-7 times lesser than larger particles having 100-10microm sizes Experimental data are in good correlation with Kenneth Grahamrsquos results
In this context shock reactivity data strongly support the idea to minimize the amount of the surface micro-defects via the re-crystallization or comminuting particles up to the 05-1 microm-size
PBX-formulations composed with the re-crystallized particles a micron-size particles and HTPB in ratio 65616418 wt rdquo is possessing the insensitivity to shock on the level of the TATB
0 time 40 ns Shock motion in PVC SM
Ref HMX (114 microm)
SW in
put t
o sa
mpl
es
UF-HMX (16 microm)
F-HMX PCA (76 microm)
PBX b2 ndash PVC SA ndash P 8515 HTPB (1010 microm) ndash PVC SM induced shock in HMX particles P0 = 197 GPa
0
10
20
30
40
50
120 140 160 180 200 220
P H
E(G
Pa
)
time (ns)
HMX Ref HTPB
20 ns-precursor
Major front output
R = (ΔIΔt)OC (ΔIΔt)OA = 26 04
0
4000
8000
12000
40 80 120 160
time ns
Rad
iati
on
In
ten
sit
y [
Arb
itra
ry u
nit
s]
HMX ref -- F3
HMX ref -- F2
HMX ref -- F1
HMX ref aver
O
A
C
Major front output
Shock input
B
R = (ΔIΔt)OC (ΔIΔt)OA = 22
Kinetics RateReaction Radiance Test Basic Concept
Absolute shock reactivity value R at P0-initiation pressure is determined for each i-acceptor as a ratio between mean rate of full radiation growth and the initial rate of the reaction light growth
R = [(I final ndash I initial)(t final ndash t initial)]mean( ΔI0Δt0)mean
0
10000
20000
30000
40000
50000
0 50 100 150 200 250time (ns)
P05-F1
P05-F2
P05-F3
P05
Ra
dia
tio
n in
ten
sit
y
I (a
rbit
rary
un
its
)
Major front output
SW input
O
C
O1
AB
R = (ΔIΔt)OC (ΔIΔt)O1-A = 06
5000
15000
25000
35000
45000
0 50 100 150 200 250 300
time (ns)
Channel 1
Channel 2
Channel 3
SW input 21 ns
Major front outputPrecursor output
Ra
dia
tio
n in
ten
sit
y
I (a
rbit
rary
un
its
)
SW motion in PVC SM
A
O
B C
(ΔIΔt)OA = 78 ns-1
(ΔIΔt)OC = 206 ns-1
R = (ΔIΔt)OC (ΔIΔt)OA = 26 04
PBX b2 - ldquoUF-HMX (16 microm) 8518 HTPBrdquo-PVC SM 985 microm-sample
PBX b2 ndash ldquoF-HMX (1106 microm) 8518 HTPBrdquo-PVC SM 985 microm-sample
10000
15000
20000
25000
30000
35000
100 150 200 250 300
time (ns)
P03-F1
P03-F2
P03-F3
P03
PBXb2 - KSA - P 8515 Epoxy(985um) - KSM
Major front outputSW input
C
A B
R = (ΔIΔt)OC (ΔIΔt)OA = 06
Ra
dia
tio
n in
ten
sit
y
I (a
rbit
rary
un
its
)
O
PBX b2 ndash ldquoRC-HMX (1309 microm) 8518 HTPBrdquo-KSM 985 microm-sample
KRRR Test data
Detonation Failure Cone Test Determination of Detonation Failure Diameter
2
4
6
8
10
12
14
16
14 16 18 2 22 24 26 28 3 32 34
D lo
cal
(mm
us)
OslashPBX (mm)
HMX(165 plusmn 15 microm) 8218 wt HTPB
Detonation failure Oslash f = 165 mm
2
4
6
8
10
12
2 25 3 35 4 45 5
D lo
cal
(mm
us)
OslashPBX (mm)
UF-HMX(d 50 = 16 microm) 8515 HTPB
Detonation failure Oslash f = 220 mm
20
40
60
80
100
30 40 50 60 70
D [m
mm
s]
f [mm]
RC-HMX (1309 um)UF-HMX (164 um)HTPB = 06560164018
d f = 40 mm
time 200 ns between marks
Detonation Failure Cone Test Determination of Detonation Failure diameter
UF-HMX (16 microm) 8515 HTPB
The RS-PBX ldquoRC-HMXUF-HMXHTPB 65616418 wtrdquo is possessing the Detonation Failure diameter on the level of the purified TATB explosive material of 097 TMD (LASL data)
ID - HMX particles d50 dmin amp dmax ρ0 [gcm3] nano-Porosity
υ [vol ]
R Shock
Reactivity
Failure diam df
[mm]
Relative Shock
Sensitivity S
HMX ref (114408 um) 1877plusmn 0005 37 22 na equiv1 RC-HMX (1309 um) 1895plusmn 0007 29 06 na 03 F-HMX (1106 um) 1874plusmn0008 39 26 na 12
UF-HMX (Ball Milled) d50 = 164 um 19330005 09 04 22 02 F-HMX PCA 76 um 1939 06 1 na 05
HMX (420-595 um) 1893plusmn0012 3 13 252 06 HMX (180-210 um) na na na 155 na HMX (150-180 um) 1896 28 065 165 03 HMX (125-150 um) 1899plusmn0001 27 043 na 02
HMX (63-90 um) na na na 155 na HMX (45-53 um) 1886plusmn 0019 33 14 138 06
Fractions of HMX Class-3 particles
Shock Reactivity of PBXs vs HMX-particles Morphology Data Summary for PBXs ldquoHMX (82-85 wt )Epoxyrdquo amp ldquoHMX (85-90 wt )Epoxyrdquo
y = 17664x - 43158Rsup2 = 09622
0
05
1
15
2
25
3
0 05 1 15 2 25 3 35 4 45
Sh
oc
k R
ea
cti
vit
y R
(A
bs
olu
te v
alu
es
)
nano-voids in HMX particles υ (vol )
F-HMX 1106 microm
HMX (45-53 microm)HMX (420-595 microm)
RC-HMX 1309 microm
HMX (125-150 microm)UF-HMX 164 microm (BM)
F-HMX 76 microm (PCA) HMX (150-180 microm)
Shock Reactivity of PBXs vs nano-porosity of HMX particles Data Summary for PBXs ldquoHMX (82-85 wt )Epoxyrdquo (096-098TMD) amp ldquoHMX (85-90
wt )Epoxyrdquo (099TMD)
Agglomeration of particles causes
increase of shock reactivity
0
05
1
15
2
25
3
0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180
Sh
oc
k R
ea
cti
vit
y R
(A
bs
olu
te
HMX particle sizes d 50 (microm)
F-HMX 1106 microm
RC-HMX 1309 microm
UF-HMX 164 microm (BM)
F-HMX 76 microm (PCA)HMX (150-180 microm)
HMX Ref 1144 microm
HMX 8515 HTPB ρ0 asymp 096 TMD
Shock Reactivity of PBXs vs HMX-particle size Data Summary for PBXs ldquoHMX (82-85 wt )Epoxyrdquo amp ldquoHMX (85-90 wt )Epoxyrdquo
Re-crystallization of particles provides decrease of shock
reactivity in 37 times
1
12
14
16
18
2
22
24
0 100 200 300 400 500 600
UF-HMX (Ball Mill) 164 um
HMX (420-595 um)
HMX (180-210 um)
HMX (150-180 um)
HMX (63-90 um)
HMX (45-53 um)
d failure vs HMX particle size
HMX particle sizes d (microm)
De
ton
ati
on
Failu
re D
iam
ete
r d
f (micro
m)
Detonation failure diameter of PBXs vs HMX-particle sizes Data Summary for PBXs ldquoHMX (82-85 wt )Epoxyrdquo amp ldquoHMX (85-90 wt )Epoxyrdquo
Conclusive Remarks
Kinetic RateReaction Radiance Test and Detonation Failure Cone Test both instrumented with Multi-Channel Optical Analyzer MCOA-UC produce quantitative data on reaction rate in PBX-samples subjected to shock or detonation
Very small amount of test material (KR-RR Test 20mg Detonation Failure Test 800 mg) is required for tailoring PBXs on shock sensitivity
Role of HMX-particles morphology in shock sensitivity of PBXs is quantitatively described
Basic ldquomorphological factorrdquo determining a shock reactivity of HMX-particles is a nano-porosity of crystalline structure of the particlersquos surface layer
HMX-particles of micronsubmicron size demonstrate a shock reactivity in 5-7 times lesser than larger particles having 100-10microm sizes Experimental data are in good correlation with Kenneth Grahamrsquos results
In this context shock reactivity data strongly support the idea to minimize the amount of the surface micro-defects via the re-crystallization or comminuting particles up to the 05-1 microm-size
PBX-formulations composed with the re-crystallized particles a micron-size particles and HTPB in ratio 65616418 wt rdquo is possessing the insensitivity to shock on the level of the TATB
0
10000
20000
30000
40000
50000
0 50 100 150 200 250time (ns)
P05-F1
P05-F2
P05-F3
P05
Ra
dia
tio
n in
ten
sit
y
I (a
rbit
rary
un
its
)
Major front output
SW input
O
C
O1
AB
R = (ΔIΔt)OC (ΔIΔt)O1-A = 06
5000
15000
25000
35000
45000
0 50 100 150 200 250 300
time (ns)
Channel 1
Channel 2
Channel 3
SW input 21 ns
Major front outputPrecursor output
Ra
dia
tio
n in
ten
sit
y
I (a
rbit
rary
un
its
)
SW motion in PVC SM
A
O
B C
(ΔIΔt)OA = 78 ns-1
(ΔIΔt)OC = 206 ns-1
R = (ΔIΔt)OC (ΔIΔt)OA = 26 04
PBX b2 - ldquoUF-HMX (16 microm) 8518 HTPBrdquo-PVC SM 985 microm-sample
PBX b2 ndash ldquoF-HMX (1106 microm) 8518 HTPBrdquo-PVC SM 985 microm-sample
10000
15000
20000
25000
30000
35000
100 150 200 250 300
time (ns)
P03-F1
P03-F2
P03-F3
P03
PBXb2 - KSA - P 8515 Epoxy(985um) - KSM
Major front outputSW input
C
A B
R = (ΔIΔt)OC (ΔIΔt)OA = 06
Ra
dia
tio
n in
ten
sit
y
I (a
rbit
rary
un
its
)
O
PBX b2 ndash ldquoRC-HMX (1309 microm) 8518 HTPBrdquo-KSM 985 microm-sample
KRRR Test data
Detonation Failure Cone Test Determination of Detonation Failure Diameter
2
4
6
8
10
12
14
16
14 16 18 2 22 24 26 28 3 32 34
D lo
cal
(mm
us)
OslashPBX (mm)
HMX(165 plusmn 15 microm) 8218 wt HTPB
Detonation failure Oslash f = 165 mm
2
4
6
8
10
12
2 25 3 35 4 45 5
D lo
cal
(mm
us)
OslashPBX (mm)
UF-HMX(d 50 = 16 microm) 8515 HTPB
Detonation failure Oslash f = 220 mm
20
40
60
80
100
30 40 50 60 70
D [m
mm
s]
f [mm]
RC-HMX (1309 um)UF-HMX (164 um)HTPB = 06560164018
d f = 40 mm
time 200 ns between marks
Detonation Failure Cone Test Determination of Detonation Failure diameter
UF-HMX (16 microm) 8515 HTPB
The RS-PBX ldquoRC-HMXUF-HMXHTPB 65616418 wtrdquo is possessing the Detonation Failure diameter on the level of the purified TATB explosive material of 097 TMD (LASL data)
ID - HMX particles d50 dmin amp dmax ρ0 [gcm3] nano-Porosity
υ [vol ]
R Shock
Reactivity
Failure diam df
[mm]
Relative Shock
Sensitivity S
HMX ref (114408 um) 1877plusmn 0005 37 22 na equiv1 RC-HMX (1309 um) 1895plusmn 0007 29 06 na 03 F-HMX (1106 um) 1874plusmn0008 39 26 na 12
UF-HMX (Ball Milled) d50 = 164 um 19330005 09 04 22 02 F-HMX PCA 76 um 1939 06 1 na 05
HMX (420-595 um) 1893plusmn0012 3 13 252 06 HMX (180-210 um) na na na 155 na HMX (150-180 um) 1896 28 065 165 03 HMX (125-150 um) 1899plusmn0001 27 043 na 02
HMX (63-90 um) na na na 155 na HMX (45-53 um) 1886plusmn 0019 33 14 138 06
Fractions of HMX Class-3 particles
Shock Reactivity of PBXs vs HMX-particles Morphology Data Summary for PBXs ldquoHMX (82-85 wt )Epoxyrdquo amp ldquoHMX (85-90 wt )Epoxyrdquo
y = 17664x - 43158Rsup2 = 09622
0
05
1
15
2
25
3
0 05 1 15 2 25 3 35 4 45
Sh
oc
k R
ea
cti
vit
y R
(A
bs
olu
te v
alu
es
)
nano-voids in HMX particles υ (vol )
F-HMX 1106 microm
HMX (45-53 microm)HMX (420-595 microm)
RC-HMX 1309 microm
HMX (125-150 microm)UF-HMX 164 microm (BM)
F-HMX 76 microm (PCA) HMX (150-180 microm)
Shock Reactivity of PBXs vs nano-porosity of HMX particles Data Summary for PBXs ldquoHMX (82-85 wt )Epoxyrdquo (096-098TMD) amp ldquoHMX (85-90
wt )Epoxyrdquo (099TMD)
Agglomeration of particles causes
increase of shock reactivity
0
05
1
15
2
25
3
0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180
Sh
oc
k R
ea
cti
vit
y R
(A
bs
olu
te
HMX particle sizes d 50 (microm)
F-HMX 1106 microm
RC-HMX 1309 microm
UF-HMX 164 microm (BM)
F-HMX 76 microm (PCA)HMX (150-180 microm)
HMX Ref 1144 microm
HMX 8515 HTPB ρ0 asymp 096 TMD
Shock Reactivity of PBXs vs HMX-particle size Data Summary for PBXs ldquoHMX (82-85 wt )Epoxyrdquo amp ldquoHMX (85-90 wt )Epoxyrdquo
Re-crystallization of particles provides decrease of shock
reactivity in 37 times
1
12
14
16
18
2
22
24
0 100 200 300 400 500 600
UF-HMX (Ball Mill) 164 um
HMX (420-595 um)
HMX (180-210 um)
HMX (150-180 um)
HMX (63-90 um)
HMX (45-53 um)
d failure vs HMX particle size
HMX particle sizes d (microm)
De
ton
ati
on
Failu
re D
iam
ete
r d
f (micro
m)
Detonation failure diameter of PBXs vs HMX-particle sizes Data Summary for PBXs ldquoHMX (82-85 wt )Epoxyrdquo amp ldquoHMX (85-90 wt )Epoxyrdquo
Conclusive Remarks
Kinetic RateReaction Radiance Test and Detonation Failure Cone Test both instrumented with Multi-Channel Optical Analyzer MCOA-UC produce quantitative data on reaction rate in PBX-samples subjected to shock or detonation
Very small amount of test material (KR-RR Test 20mg Detonation Failure Test 800 mg) is required for tailoring PBXs on shock sensitivity
Role of HMX-particles morphology in shock sensitivity of PBXs is quantitatively described
Basic ldquomorphological factorrdquo determining a shock reactivity of HMX-particles is a nano-porosity of crystalline structure of the particlersquos surface layer
HMX-particles of micronsubmicron size demonstrate a shock reactivity in 5-7 times lesser than larger particles having 100-10microm sizes Experimental data are in good correlation with Kenneth Grahamrsquos results
In this context shock reactivity data strongly support the idea to minimize the amount of the surface micro-defects via the re-crystallization or comminuting particles up to the 05-1 microm-size
PBX-formulations composed with the re-crystallized particles a micron-size particles and HTPB in ratio 65616418 wt rdquo is possessing the insensitivity to shock on the level of the TATB
Detonation Failure Cone Test Determination of Detonation Failure Diameter
2
4
6
8
10
12
14
16
14 16 18 2 22 24 26 28 3 32 34
D lo
cal
(mm
us)
OslashPBX (mm)
HMX(165 plusmn 15 microm) 8218 wt HTPB
Detonation failure Oslash f = 165 mm
2
4
6
8
10
12
2 25 3 35 4 45 5
D lo
cal
(mm
us)
OslashPBX (mm)
UF-HMX(d 50 = 16 microm) 8515 HTPB
Detonation failure Oslash f = 220 mm
20
40
60
80
100
30 40 50 60 70
D [m
mm
s]
f [mm]
RC-HMX (1309 um)UF-HMX (164 um)HTPB = 06560164018
d f = 40 mm
time 200 ns between marks
Detonation Failure Cone Test Determination of Detonation Failure diameter
UF-HMX (16 microm) 8515 HTPB
The RS-PBX ldquoRC-HMXUF-HMXHTPB 65616418 wtrdquo is possessing the Detonation Failure diameter on the level of the purified TATB explosive material of 097 TMD (LASL data)
ID - HMX particles d50 dmin amp dmax ρ0 [gcm3] nano-Porosity
υ [vol ]
R Shock
Reactivity
Failure diam df
[mm]
Relative Shock
Sensitivity S
HMX ref (114408 um) 1877plusmn 0005 37 22 na equiv1 RC-HMX (1309 um) 1895plusmn 0007 29 06 na 03 F-HMX (1106 um) 1874plusmn0008 39 26 na 12
UF-HMX (Ball Milled) d50 = 164 um 19330005 09 04 22 02 F-HMX PCA 76 um 1939 06 1 na 05
HMX (420-595 um) 1893plusmn0012 3 13 252 06 HMX (180-210 um) na na na 155 na HMX (150-180 um) 1896 28 065 165 03 HMX (125-150 um) 1899plusmn0001 27 043 na 02
HMX (63-90 um) na na na 155 na HMX (45-53 um) 1886plusmn 0019 33 14 138 06
Fractions of HMX Class-3 particles
Shock Reactivity of PBXs vs HMX-particles Morphology Data Summary for PBXs ldquoHMX (82-85 wt )Epoxyrdquo amp ldquoHMX (85-90 wt )Epoxyrdquo
y = 17664x - 43158Rsup2 = 09622
0
05
1
15
2
25
3
0 05 1 15 2 25 3 35 4 45
Sh
oc
k R
ea
cti
vit
y R
(A
bs
olu
te v
alu
es
)
nano-voids in HMX particles υ (vol )
F-HMX 1106 microm
HMX (45-53 microm)HMX (420-595 microm)
RC-HMX 1309 microm
HMX (125-150 microm)UF-HMX 164 microm (BM)
F-HMX 76 microm (PCA) HMX (150-180 microm)
Shock Reactivity of PBXs vs nano-porosity of HMX particles Data Summary for PBXs ldquoHMX (82-85 wt )Epoxyrdquo (096-098TMD) amp ldquoHMX (85-90
wt )Epoxyrdquo (099TMD)
Agglomeration of particles causes
increase of shock reactivity
0
05
1
15
2
25
3
0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180
Sh
oc
k R
ea
cti
vit
y R
(A
bs
olu
te
HMX particle sizes d 50 (microm)
F-HMX 1106 microm
RC-HMX 1309 microm
UF-HMX 164 microm (BM)
F-HMX 76 microm (PCA)HMX (150-180 microm)
HMX Ref 1144 microm
HMX 8515 HTPB ρ0 asymp 096 TMD
Shock Reactivity of PBXs vs HMX-particle size Data Summary for PBXs ldquoHMX (82-85 wt )Epoxyrdquo amp ldquoHMX (85-90 wt )Epoxyrdquo
Re-crystallization of particles provides decrease of shock
reactivity in 37 times
1
12
14
16
18
2
22
24
0 100 200 300 400 500 600
UF-HMX (Ball Mill) 164 um
HMX (420-595 um)
HMX (180-210 um)
HMX (150-180 um)
HMX (63-90 um)
HMX (45-53 um)
d failure vs HMX particle size
HMX particle sizes d (microm)
De
ton
ati
on
Failu
re D
iam
ete
r d
f (micro
m)
Detonation failure diameter of PBXs vs HMX-particle sizes Data Summary for PBXs ldquoHMX (82-85 wt )Epoxyrdquo amp ldquoHMX (85-90 wt )Epoxyrdquo
Conclusive Remarks
Kinetic RateReaction Radiance Test and Detonation Failure Cone Test both instrumented with Multi-Channel Optical Analyzer MCOA-UC produce quantitative data on reaction rate in PBX-samples subjected to shock or detonation
Very small amount of test material (KR-RR Test 20mg Detonation Failure Test 800 mg) is required for tailoring PBXs on shock sensitivity
Role of HMX-particles morphology in shock sensitivity of PBXs is quantitatively described
Basic ldquomorphological factorrdquo determining a shock reactivity of HMX-particles is a nano-porosity of crystalline structure of the particlersquos surface layer
HMX-particles of micronsubmicron size demonstrate a shock reactivity in 5-7 times lesser than larger particles having 100-10microm sizes Experimental data are in good correlation with Kenneth Grahamrsquos results
In this context shock reactivity data strongly support the idea to minimize the amount of the surface micro-defects via the re-crystallization or comminuting particles up to the 05-1 microm-size
PBX-formulations composed with the re-crystallized particles a micron-size particles and HTPB in ratio 65616418 wt rdquo is possessing the insensitivity to shock on the level of the TATB
2
4
6
8
10
12
2 25 3 35 4 45 5
D lo
cal
(mm
us)
OslashPBX (mm)
UF-HMX(d 50 = 16 microm) 8515 HTPB
Detonation failure Oslash f = 220 mm
20
40
60
80
100
30 40 50 60 70
D [m
mm
s]
f [mm]
RC-HMX (1309 um)UF-HMX (164 um)HTPB = 06560164018
d f = 40 mm
time 200 ns between marks
Detonation Failure Cone Test Determination of Detonation Failure diameter
UF-HMX (16 microm) 8515 HTPB
The RS-PBX ldquoRC-HMXUF-HMXHTPB 65616418 wtrdquo is possessing the Detonation Failure diameter on the level of the purified TATB explosive material of 097 TMD (LASL data)
ID - HMX particles d50 dmin amp dmax ρ0 [gcm3] nano-Porosity
υ [vol ]
R Shock
Reactivity
Failure diam df
[mm]
Relative Shock
Sensitivity S
HMX ref (114408 um) 1877plusmn 0005 37 22 na equiv1 RC-HMX (1309 um) 1895plusmn 0007 29 06 na 03 F-HMX (1106 um) 1874plusmn0008 39 26 na 12
UF-HMX (Ball Milled) d50 = 164 um 19330005 09 04 22 02 F-HMX PCA 76 um 1939 06 1 na 05
HMX (420-595 um) 1893plusmn0012 3 13 252 06 HMX (180-210 um) na na na 155 na HMX (150-180 um) 1896 28 065 165 03 HMX (125-150 um) 1899plusmn0001 27 043 na 02
HMX (63-90 um) na na na 155 na HMX (45-53 um) 1886plusmn 0019 33 14 138 06
Fractions of HMX Class-3 particles
Shock Reactivity of PBXs vs HMX-particles Morphology Data Summary for PBXs ldquoHMX (82-85 wt )Epoxyrdquo amp ldquoHMX (85-90 wt )Epoxyrdquo
y = 17664x - 43158Rsup2 = 09622
0
05
1
15
2
25
3
0 05 1 15 2 25 3 35 4 45
Sh
oc
k R
ea
cti
vit
y R
(A
bs
olu
te v
alu
es
)
nano-voids in HMX particles υ (vol )
F-HMX 1106 microm
HMX (45-53 microm)HMX (420-595 microm)
RC-HMX 1309 microm
HMX (125-150 microm)UF-HMX 164 microm (BM)
F-HMX 76 microm (PCA) HMX (150-180 microm)
Shock Reactivity of PBXs vs nano-porosity of HMX particles Data Summary for PBXs ldquoHMX (82-85 wt )Epoxyrdquo (096-098TMD) amp ldquoHMX (85-90
wt )Epoxyrdquo (099TMD)
Agglomeration of particles causes
increase of shock reactivity
0
05
1
15
2
25
3
0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180
Sh
oc
k R
ea
cti
vit
y R
(A
bs
olu
te
HMX particle sizes d 50 (microm)
F-HMX 1106 microm
RC-HMX 1309 microm
UF-HMX 164 microm (BM)
F-HMX 76 microm (PCA)HMX (150-180 microm)
HMX Ref 1144 microm
HMX 8515 HTPB ρ0 asymp 096 TMD
Shock Reactivity of PBXs vs HMX-particle size Data Summary for PBXs ldquoHMX (82-85 wt )Epoxyrdquo amp ldquoHMX (85-90 wt )Epoxyrdquo
Re-crystallization of particles provides decrease of shock
reactivity in 37 times
1
12
14
16
18
2
22
24
0 100 200 300 400 500 600
UF-HMX (Ball Mill) 164 um
HMX (420-595 um)
HMX (180-210 um)
HMX (150-180 um)
HMX (63-90 um)
HMX (45-53 um)
d failure vs HMX particle size
HMX particle sizes d (microm)
De
ton
ati
on
Failu
re D
iam
ete
r d
f (micro
m)
Detonation failure diameter of PBXs vs HMX-particle sizes Data Summary for PBXs ldquoHMX (82-85 wt )Epoxyrdquo amp ldquoHMX (85-90 wt )Epoxyrdquo
Conclusive Remarks
Kinetic RateReaction Radiance Test and Detonation Failure Cone Test both instrumented with Multi-Channel Optical Analyzer MCOA-UC produce quantitative data on reaction rate in PBX-samples subjected to shock or detonation
Very small amount of test material (KR-RR Test 20mg Detonation Failure Test 800 mg) is required for tailoring PBXs on shock sensitivity
Role of HMX-particles morphology in shock sensitivity of PBXs is quantitatively described
Basic ldquomorphological factorrdquo determining a shock reactivity of HMX-particles is a nano-porosity of crystalline structure of the particlersquos surface layer
HMX-particles of micronsubmicron size demonstrate a shock reactivity in 5-7 times lesser than larger particles having 100-10microm sizes Experimental data are in good correlation with Kenneth Grahamrsquos results
In this context shock reactivity data strongly support the idea to minimize the amount of the surface micro-defects via the re-crystallization or comminuting particles up to the 05-1 microm-size
PBX-formulations composed with the re-crystallized particles a micron-size particles and HTPB in ratio 65616418 wt rdquo is possessing the insensitivity to shock on the level of the TATB
ID - HMX particles d50 dmin amp dmax ρ0 [gcm3] nano-Porosity
υ [vol ]
R Shock
Reactivity
Failure diam df
[mm]
Relative Shock
Sensitivity S
HMX ref (114408 um) 1877plusmn 0005 37 22 na equiv1 RC-HMX (1309 um) 1895plusmn 0007 29 06 na 03 F-HMX (1106 um) 1874plusmn0008 39 26 na 12
UF-HMX (Ball Milled) d50 = 164 um 19330005 09 04 22 02 F-HMX PCA 76 um 1939 06 1 na 05
HMX (420-595 um) 1893plusmn0012 3 13 252 06 HMX (180-210 um) na na na 155 na HMX (150-180 um) 1896 28 065 165 03 HMX (125-150 um) 1899plusmn0001 27 043 na 02
HMX (63-90 um) na na na 155 na HMX (45-53 um) 1886plusmn 0019 33 14 138 06
Fractions of HMX Class-3 particles
Shock Reactivity of PBXs vs HMX-particles Morphology Data Summary for PBXs ldquoHMX (82-85 wt )Epoxyrdquo amp ldquoHMX (85-90 wt )Epoxyrdquo
y = 17664x - 43158Rsup2 = 09622
0
05
1
15
2
25
3
0 05 1 15 2 25 3 35 4 45
Sh
oc
k R
ea
cti
vit
y R
(A
bs
olu
te v
alu
es
)
nano-voids in HMX particles υ (vol )
F-HMX 1106 microm
HMX (45-53 microm)HMX (420-595 microm)
RC-HMX 1309 microm
HMX (125-150 microm)UF-HMX 164 microm (BM)
F-HMX 76 microm (PCA) HMX (150-180 microm)
Shock Reactivity of PBXs vs nano-porosity of HMX particles Data Summary for PBXs ldquoHMX (82-85 wt )Epoxyrdquo (096-098TMD) amp ldquoHMX (85-90
wt )Epoxyrdquo (099TMD)
Agglomeration of particles causes
increase of shock reactivity
0
05
1
15
2
25
3
0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180
Sh
oc
k R
ea
cti
vit
y R
(A
bs
olu
te
HMX particle sizes d 50 (microm)
F-HMX 1106 microm
RC-HMX 1309 microm
UF-HMX 164 microm (BM)
F-HMX 76 microm (PCA)HMX (150-180 microm)
HMX Ref 1144 microm
HMX 8515 HTPB ρ0 asymp 096 TMD
Shock Reactivity of PBXs vs HMX-particle size Data Summary for PBXs ldquoHMX (82-85 wt )Epoxyrdquo amp ldquoHMX (85-90 wt )Epoxyrdquo
Re-crystallization of particles provides decrease of shock
reactivity in 37 times
1
12
14
16
18
2
22
24
0 100 200 300 400 500 600
UF-HMX (Ball Mill) 164 um
HMX (420-595 um)
HMX (180-210 um)
HMX (150-180 um)
HMX (63-90 um)
HMX (45-53 um)
d failure vs HMX particle size
HMX particle sizes d (microm)
De
ton
ati
on
Failu
re D
iam
ete
r d
f (micro
m)
Detonation failure diameter of PBXs vs HMX-particle sizes Data Summary for PBXs ldquoHMX (82-85 wt )Epoxyrdquo amp ldquoHMX (85-90 wt )Epoxyrdquo
Conclusive Remarks
Kinetic RateReaction Radiance Test and Detonation Failure Cone Test both instrumented with Multi-Channel Optical Analyzer MCOA-UC produce quantitative data on reaction rate in PBX-samples subjected to shock or detonation
Very small amount of test material (KR-RR Test 20mg Detonation Failure Test 800 mg) is required for tailoring PBXs on shock sensitivity
Role of HMX-particles morphology in shock sensitivity of PBXs is quantitatively described
Basic ldquomorphological factorrdquo determining a shock reactivity of HMX-particles is a nano-porosity of crystalline structure of the particlersquos surface layer
HMX-particles of micronsubmicron size demonstrate a shock reactivity in 5-7 times lesser than larger particles having 100-10microm sizes Experimental data are in good correlation with Kenneth Grahamrsquos results
In this context shock reactivity data strongly support the idea to minimize the amount of the surface micro-defects via the re-crystallization or comminuting particles up to the 05-1 microm-size
PBX-formulations composed with the re-crystallized particles a micron-size particles and HTPB in ratio 65616418 wt rdquo is possessing the insensitivity to shock on the level of the TATB
y = 17664x - 43158Rsup2 = 09622
0
05
1
15
2
25
3
0 05 1 15 2 25 3 35 4 45
Sh
oc
k R
ea
cti
vit
y R
(A
bs
olu
te v
alu
es
)
nano-voids in HMX particles υ (vol )
F-HMX 1106 microm
HMX (45-53 microm)HMX (420-595 microm)
RC-HMX 1309 microm
HMX (125-150 microm)UF-HMX 164 microm (BM)
F-HMX 76 microm (PCA) HMX (150-180 microm)
Shock Reactivity of PBXs vs nano-porosity of HMX particles Data Summary for PBXs ldquoHMX (82-85 wt )Epoxyrdquo (096-098TMD) amp ldquoHMX (85-90
wt )Epoxyrdquo (099TMD)
Agglomeration of particles causes
increase of shock reactivity
0
05
1
15
2
25
3
0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180
Sh
oc
k R
ea
cti
vit
y R
(A
bs
olu
te
HMX particle sizes d 50 (microm)
F-HMX 1106 microm
RC-HMX 1309 microm
UF-HMX 164 microm (BM)
F-HMX 76 microm (PCA)HMX (150-180 microm)
HMX Ref 1144 microm
HMX 8515 HTPB ρ0 asymp 096 TMD
Shock Reactivity of PBXs vs HMX-particle size Data Summary for PBXs ldquoHMX (82-85 wt )Epoxyrdquo amp ldquoHMX (85-90 wt )Epoxyrdquo
Re-crystallization of particles provides decrease of shock
reactivity in 37 times
1
12
14
16
18
2
22
24
0 100 200 300 400 500 600
UF-HMX (Ball Mill) 164 um
HMX (420-595 um)
HMX (180-210 um)
HMX (150-180 um)
HMX (63-90 um)
HMX (45-53 um)
d failure vs HMX particle size
HMX particle sizes d (microm)
De
ton
ati
on
Failu
re D
iam
ete
r d
f (micro
m)
Detonation failure diameter of PBXs vs HMX-particle sizes Data Summary for PBXs ldquoHMX (82-85 wt )Epoxyrdquo amp ldquoHMX (85-90 wt )Epoxyrdquo
Conclusive Remarks
Kinetic RateReaction Radiance Test and Detonation Failure Cone Test both instrumented with Multi-Channel Optical Analyzer MCOA-UC produce quantitative data on reaction rate in PBX-samples subjected to shock or detonation
Very small amount of test material (KR-RR Test 20mg Detonation Failure Test 800 mg) is required for tailoring PBXs on shock sensitivity
Role of HMX-particles morphology in shock sensitivity of PBXs is quantitatively described
Basic ldquomorphological factorrdquo determining a shock reactivity of HMX-particles is a nano-porosity of crystalline structure of the particlersquos surface layer
HMX-particles of micronsubmicron size demonstrate a shock reactivity in 5-7 times lesser than larger particles having 100-10microm sizes Experimental data are in good correlation with Kenneth Grahamrsquos results
In this context shock reactivity data strongly support the idea to minimize the amount of the surface micro-defects via the re-crystallization or comminuting particles up to the 05-1 microm-size
PBX-formulations composed with the re-crystallized particles a micron-size particles and HTPB in ratio 65616418 wt rdquo is possessing the insensitivity to shock on the level of the TATB
0
05
1
15
2
25
3
0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180
Sh
oc
k R
ea
cti
vit
y R
(A
bs
olu
te
HMX particle sizes d 50 (microm)
F-HMX 1106 microm
RC-HMX 1309 microm
UF-HMX 164 microm (BM)
F-HMX 76 microm (PCA)HMX (150-180 microm)
HMX Ref 1144 microm
HMX 8515 HTPB ρ0 asymp 096 TMD
Shock Reactivity of PBXs vs HMX-particle size Data Summary for PBXs ldquoHMX (82-85 wt )Epoxyrdquo amp ldquoHMX (85-90 wt )Epoxyrdquo
Re-crystallization of particles provides decrease of shock
reactivity in 37 times
1
12
14
16
18
2
22
24
0 100 200 300 400 500 600
UF-HMX (Ball Mill) 164 um
HMX (420-595 um)
HMX (180-210 um)
HMX (150-180 um)
HMX (63-90 um)
HMX (45-53 um)
d failure vs HMX particle size
HMX particle sizes d (microm)
De
ton
ati
on
Failu
re D
iam
ete
r d
f (micro
m)
Detonation failure diameter of PBXs vs HMX-particle sizes Data Summary for PBXs ldquoHMX (82-85 wt )Epoxyrdquo amp ldquoHMX (85-90 wt )Epoxyrdquo
Conclusive Remarks
Kinetic RateReaction Radiance Test and Detonation Failure Cone Test both instrumented with Multi-Channel Optical Analyzer MCOA-UC produce quantitative data on reaction rate in PBX-samples subjected to shock or detonation
Very small amount of test material (KR-RR Test 20mg Detonation Failure Test 800 mg) is required for tailoring PBXs on shock sensitivity
Role of HMX-particles morphology in shock sensitivity of PBXs is quantitatively described
Basic ldquomorphological factorrdquo determining a shock reactivity of HMX-particles is a nano-porosity of crystalline structure of the particlersquos surface layer
HMX-particles of micronsubmicron size demonstrate a shock reactivity in 5-7 times lesser than larger particles having 100-10microm sizes Experimental data are in good correlation with Kenneth Grahamrsquos results
In this context shock reactivity data strongly support the idea to minimize the amount of the surface micro-defects via the re-crystallization or comminuting particles up to the 05-1 microm-size
PBX-formulations composed with the re-crystallized particles a micron-size particles and HTPB in ratio 65616418 wt rdquo is possessing the insensitivity to shock on the level of the TATB
1
12
14
16
18
2
22
24
0 100 200 300 400 500 600
UF-HMX (Ball Mill) 164 um
HMX (420-595 um)
HMX (180-210 um)
HMX (150-180 um)
HMX (63-90 um)
HMX (45-53 um)
d failure vs HMX particle size
HMX particle sizes d (microm)
De
ton
ati
on
Failu
re D
iam
ete
r d
f (micro
m)
Detonation failure diameter of PBXs vs HMX-particle sizes Data Summary for PBXs ldquoHMX (82-85 wt )Epoxyrdquo amp ldquoHMX (85-90 wt )Epoxyrdquo
Conclusive Remarks
Kinetic RateReaction Radiance Test and Detonation Failure Cone Test both instrumented with Multi-Channel Optical Analyzer MCOA-UC produce quantitative data on reaction rate in PBX-samples subjected to shock or detonation
Very small amount of test material (KR-RR Test 20mg Detonation Failure Test 800 mg) is required for tailoring PBXs on shock sensitivity
Role of HMX-particles morphology in shock sensitivity of PBXs is quantitatively described
Basic ldquomorphological factorrdquo determining a shock reactivity of HMX-particles is a nano-porosity of crystalline structure of the particlersquos surface layer
HMX-particles of micronsubmicron size demonstrate a shock reactivity in 5-7 times lesser than larger particles having 100-10microm sizes Experimental data are in good correlation with Kenneth Grahamrsquos results
In this context shock reactivity data strongly support the idea to minimize the amount of the surface micro-defects via the re-crystallization or comminuting particles up to the 05-1 microm-size
PBX-formulations composed with the re-crystallized particles a micron-size particles and HTPB in ratio 65616418 wt rdquo is possessing the insensitivity to shock on the level of the TATB
Conclusive Remarks
Kinetic RateReaction Radiance Test and Detonation Failure Cone Test both instrumented with Multi-Channel Optical Analyzer MCOA-UC produce quantitative data on reaction rate in PBX-samples subjected to shock or detonation
Very small amount of test material (KR-RR Test 20mg Detonation Failure Test 800 mg) is required for tailoring PBXs on shock sensitivity
Role of HMX-particles morphology in shock sensitivity of PBXs is quantitatively described
Basic ldquomorphological factorrdquo determining a shock reactivity of HMX-particles is a nano-porosity of crystalline structure of the particlersquos surface layer
HMX-particles of micronsubmicron size demonstrate a shock reactivity in 5-7 times lesser than larger particles having 100-10microm sizes Experimental data are in good correlation with Kenneth Grahamrsquos results
In this context shock reactivity data strongly support the idea to minimize the amount of the surface micro-defects via the re-crystallization or comminuting particles up to the 05-1 microm-size
PBX-formulations composed with the re-crystallized particles a micron-size particles and HTPB in ratio 65616418 wt rdquo is possessing the insensitivity to shock on the level of the TATB