15-01915

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Sympathetic reaction TEMPER simulations for 155 mm shell filled with MCX-6100 composition

FFI-rapport 2015/01915

Gunnar Ove Nevstad

Forsvarets

forskningsinstitutt

FFI

N o r w e g i a n D e f e n c e R e s e a r c h E s t a b l i s h m e n t

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Sympathetic reaction TEMPER simulations for 155 mm shell filled with MCX-6100 composition

Gunnar Ove Nevstad

Norwegian Defence Research Establishment (FFI) 22 October 2015

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2 FFI-rapport 2015/01915

FFI-rapport 2015/01915 399301

P: ISBN 978-82-464-2650-1 E: ISBN 978-82-464-2651-8

Keywords

Simulering Detonasjon Fragmentering

Approved by

Ivar Sollien Research Manager

Stein Grinaker Director of Research

Jon E. Skjervold Director

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FFI-rapport 2015/01915 3

English summary

IM classification of munitions requires testing according to STANAG 4439 (1). All tests have to be performed unless the Threat Hazard Analysis shows that specific threats in the STANAG do not occur in the life-cycle of specific munitions. In some nations full scale tests may be replaced by small scale testing accompanied by simulations. In this report results from small scale testing of the explosive composition MCX-6100 have been used as input for Sympathetic Reaction simulations with the MSIAC TEMPER software. The munitions we have studied are 155 mm shells. MCX-6100 is a melt-cast composition to be used as main filler in this munition.

TEMPER simulations for sympathetic reaction “One -on -One” on 155 mm shell filled with MCX-6100 CH 6079/13 have been performed with the same filler in both donor and acceptor.

Variables studied are: 4 different shock sensitivities, 36.4, 47.5, 53.4 and 58.5 kbar and 4

different compositions, Top, Middle, Bottom and nominal content, and 1 filling density, measured density. Cheetah calculated densities (TMD) are not included. Therefore effects of porosity were not included, only the effects of sedimentation. 13 scenarios have been studied.

Required acceptor shell thickness for 155 mm filled with different MCX-6100 compositions with equal shock sensitivity due to sedimentation varies by 1 mm or less for the same response. In addition sedimentation gives some small differences, 1-2 mm in the donor shell thicknesses that produce the WC-fragments. The overall conclusion is that the effect of sedimentation has only minor influence on the acceptor properties.

The shock sensitivity of the MCX-6100 filling, however, has significant influence on the required shell thickness in the acceptor to give a no reaction response. Going from a low (58.5 kbar) to a high shock sensitivity (36.4 kbar) filling an increase of 8 mm in shell thickness is required to retain a no reaction response. The increases in shell thicknesses for Top, Middle and Bottom composition are the same. Therefore the acceptor response in Sympathetic Reaction is mainly controlled by the MCX-6100 compositions shock sensitivity.

For the four (Top, Middle, Bottom and Nominal) compositions of MCX-6100 with shock sensitivity 58.5 kbar a no reaction response requires a shell thickness of 8-9 mm, with shock sensitivity 53.4 kbar, 10 mm is required, with shock sensitivity 47.5 kbar 12 mm is required and with shock sensitivity 36.4 kbar 16-17 mm is required. To pass the IM requirement

STANAG 4439 requires the Sympathetic Reaction test to result in type III reaction, deflagration response. To fulfil this IM requirement the shock sensitivity of the MCX-6100 filling in a 155 mm shell should be +50 kbar or better. This is a shock sensitivity of MCX-6100 fillings which should be possible to obtain with optimal casting quality.

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Sammendrag

For å oppnå IM godkjenning av ammunisjon er det i STANAG 4439 (1) satt krav til testing og respons i 6 tester. Disse må alle utføres, men dersom en trusselvurdering viser at en spesifikk trussel i STANAGen ikke forekommer i ammunisjonens livsløp, kan enkelttester utelates.

Fullskala testing kan også i noen nasjoner erstattes med småskala tester i kombinasjon med simuleringer. I denne rapporten er resultater fra småskala testing av sprengstoffkomposisjonen MCX-6100 benyttet som inndata for simuleringer av «Sympathetic Reaction» med MSIAC programvaren TEMPER. Ammunisjonen vi har studert er 155 mm granater. MCX-6100 er en smeltestøp-komposisjon til bruk i denne ammunisjonstypen.

Alle TEMPER simuleringene av sympatetisk reaksjon «One on One» med 155 mm granater fylt med MCX-6100 CH6079/13 komposisjon er gjennomført med samme sprengstoffylling i donor og akseptor granat. Følgende variable har vært studert: 4 ulike sjokkfølsomheter, 36.4, 47.5, 53.4 og 58.5 kbar, 4 forskjellige sammensetninger av MCX-6100, Top, Middle, Bottom og nominell,1 tetthet: målt tetthet. Beregnet maksimum tetthet ved bruk av Cheetah 2.0 er ikke inkludert. Derfor har effekten av porøsitet i sprengstoffyllingen ikke vært inkludert i denne studien, kun effekten av sedimentering. Totalt omfatter studien 13 scenarioer.

Simuleringene viser at effekten i en 155 mm granat av sedimentering for MCX-6100 fyllinger med identisk sjokkfølsomhet kun gir en endring på 1 mm i kravet til veggtykkelsen for å bibeholde samme reaksjon. I tillegg medfører sedimentering noen mindre endringer i

donoregenskapene. Veggtykkelsen på donorgranaten som produserer det mest sårbare fragmentet, varierer med 1-2 mm. Konklusjonen ut fra simuleringsresultatene er at sedimentering kun har minimal innvirkning på sårbarheten til akseptor i sympatetisk reaksjonstest.

Sjokkfølsomheten til MCX-6100 komposisjoner har dermed betydelig innvirkning på hvilken veggtykkelse en 155 mm granat trenger for at den skal respondere med en ikke reaksjon. Går man fra en fylling med lav (58.5 kbar) til en med høy (36.4 kbar) sjokkfølsomhet endres kravet til veggtykkelse med 8 mm for lik respons. Denne endringen er like store for Top, Middle og Bottom sammensetningen. Konklusjonen fra sympatetisk reaksjonstest simuleringene med variabel sjokkfølsomhet er at responsen til akseptor i all hovedsak styres av MCX-6100 komposisjonens sjokkfølsomhet.

For de fire (Top, Middle, Bottom samt nominell) komposisjonene av MCX-6100 med sjokkfølsomhet 58.5 kbar er kravet for en ikke reaksjon en veggtykkelse på 8-9 mm, med en sjokkfølsomhet på 53.4 kbar kreves 10 mm, med sjokkfølsomhet 47.5 kbar kreves12 mm og med sjokkfølsomhet 36.4 kbar kreves 16-17 mm. Kravet til respons i STANAG 4439 til IM er en type III reaksjon, deflagrasjon i sympatetisk reaksjonstest. For å tilfredsstille dette IM kravet bør sjokkfølsomheten til MCX-6100 fyllingen i en 155 mm granat være +50 kbar eller bedre, et krav til sjokkfølsomhet for MCX-6100 som bør være oppnåelig med optimal fyllingskvalitet.

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Abbrevations

DNAN 2,4-dinitroanisole

IM Insensitive Munitions

IM HE-ER Insensitive Munitions High Explosive Extended Range IMX-104 NTO/DNAN/RDX (53/31.7/15.3) (5)

MCX Melt Cast Explosive

MCX-6100 NTO/DNAN/RDX (53/32/15)

MSIAC Munitions Safety Information Analysis Center NOL LSGT Naval Ordnance Lab Large Scale Gap Test NTO 3-Nitro-1,2,4 triazole-5-one

RDX hexogen/1,3,5 -trinitro-1,3,5-triazacyclohexane STANAG Standardization Agreement

TEMPER Toolbox of Engineering Models for Prediction of Explosive Reaction

TMD Theoretical Maximum Density

WC Worst Credible

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1 Introduction

MCX-6100 has been selected as main filling for a new 155 mm shell. MCX-6100 is a melt-cast composition containing DNAN as binder with NTO and RDX as filler. The nominal content is 32/53/15 (DNAN/NTO/RDX). The composition is manufactured by Chemring Nobel AS, and is under final qualification according to STANAG 4170 (2). MCX-6100 is based on the same ingredients as the US composition IMX-104 (3).

The composition was selected as main filler due to its low shock sensitivity and high potential to achieve a 155 mm shell with IM properties. The composition contains three different ingredients, a binder DNAN melting at 95^oC and two solid fillers RDX and NTO with some solubility in melted DNAN. The solubility of RDX is higher than of NTO. DNAN, when going from liquid to solid, has a volume decrease of 13.59 volume % (4), when it melt the increase is 15.72 volume %.

A special cooling procedure is necessary during the casting process to obtain an acceptable quality of the cast. This gives rise to sedimentation due to density differences specially between NTO ρ(s) = 1.91 g/cm³ and DNAN ρ(l)=1.336 g/cm³.

The sedimentation of MCX-6100 fillings was studied for different samples casted in plastic cylinders, gap test steel tubes and also 155 mm shells with different cooling procedures.

Compositions for these test items as bare charges were analysed after removal of the moulds and for the 155 mm shell steel body. The content in the top, middle and bottom of these fillings have been analysed in addition to theirs density (5). The results have been used to determine porosity in longitudinal direction and theoretical performance by use of Cheetah 2.0 (6). These results were used to study the influence of sedimentation on reaction response in Bullet Impact (BI) and Fragment Impact (FI) (7).

In this report we have studied the influences of differences in shock sensitivity of the MCX-6100 fillings on the acceptor response for a 155 mm shell in Sympathetic Reaction Test (8). The simulations have been performed with calculated performance properties and measured density of the shell fillings. All simulations have been performed with TEMPER 2.2.2 (Toolbox of

Engineering Models for Prediction of Explosive Reactions) (9). The shock sensitivities of the acceptor included in this study are 36.4, 47.5, 53.4 and 58.5 kbar. The low, 58.5 kbar (10), and high 36.4 kbar (11), shock sensitivities must be seen as upper and lower limits of shock

sensitivity for the MXC-6100 composition depending on casting quality. 47.5 kbar is the average of the two tested charges. In (3) they operate with barrier from 106 up to 127 cards for NOL LSGT, corresponding to shock sensitivity from 55.2 to 48.2 kbar. In reference (12) for

comparison, LSGT card gap value for regular flake IMX-104 melt casted is measured to120 cards (49.6 kbar), and the 50% point between go and no go for granulated IMX-104 baseline (ρ=1.66 g /cm³) is 155 cards (36.1 kbar).

In these simulations 4 compositions have been studied, the three analysed contents of a divided 155 mm shell, Top, Middle and Bottom in addition to nominal content. The performance

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properties have been calculated with Cheetah 2.0 while the densities have been measured. For both the donor and acceptor the variables have been the shell thickness.

2 Experiments

Table 2.1 is a summary of experimental measured and calculated properties for the MCX-6100 filling of a 155 mm shell which was divided and analysed. These properties have been used in simulations with TEMPER 2.2.2 to see what effect sedimentation has on the reaction in sympathetic reaction.

Table 2.1 Properties of MCX-6100, both theoretical and experimental and fragmentation performance for 155 mm shell fillings due to sedimentation of MCX-6100.

4 different shock sensitivities have been included. 34.3 and 58.5 kbar determined by Intermediate Scale Gap Test, 46.4 kbar as the average of the two experimentally determined values, and 53.4 kbar, a value reported in (3) for IMX-104 which have approximately the same nominal content.

Cheetah Calculations for MCX-6100 with BKWC Product Library for divided shell

Nominal Top Middle Bottom

TMD (g/cm³) 1.7629 1.7645 1.7685 1.7777

Measured density (g/cm³) 1.72 1.73 1.75

Pressure (GPa) 24.54 24.72 23.11 24.83 23.43 25.31 24.28 Velocity (m/s) 7671 7693 7537 7708 7573 7772 7674 Gamma 3.226 3.225 3.228 3.233 3.235 3.243 3.245

Gurney Cooper (m/s) 2583 2590 2538 2595 2550 2617 2584 Mott constant (kg^1/2m^-7/6) 3.105 3.079 3.334 3.062 3.280 2.993 3.145 Co (m/s) 2922 2920 2557 2916 2598 2906 2676

S 1.60 1.60 1.83 160 1.80 1.62 1.77

Number of fragments

Envelop thickness 15 mm 5402 5493 4686 5555 4841 5814 5265 Envelop thickness 14 mm 6102 6206 5293 6275 5468 6567 5948 Envelop thickness 13 mm 6951 7069 6029 7147 6229 7481 6775

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FFI-rapport 2015/01915 11 2.1 Hugoniot

The NEWGATES V.1-10 (13) has been used to calculate the Sound velocity and Slope of D=f(u) curve needed for the material properties to perform the simulation. Determination of used values for NTO and DNAN is described in ref. (14).

2.1.1 Nominal content

Figure 2.1 shows the calculated Hugoniot values for different porosities of MCX-6100 with nominal content. The nominal content of MCX-6100 is 15 wt.% RDX, 32 wt.% DNAN and 53 wt.% NTO. With TMD (Theoretical Maximum Density) of 1.7629 g/cm³.

Figure 2.1 Calculated Hugoniots for MCX-6100 nominal content with 0-2.4% porosity.

2.1.2 Top content

Figure 2.4 summarizes the calculated values for different porosities of MCX-6100 with top content. The top content of MCX-6100 is 16 wt.% RDX, 31.3 wt.% DNAN and 52.7 wt.% NTO, corresponding TMD (Theoretical Maximum Density) is 1.764 g/cm³. Experimentally measured density was 1.72 g/cm³, giving a porosity of 2.4 %.

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Figure 2.2 Calculated Hugoniots for MCX-6100 Top content with 0-2.5% porosity.

2.1.3 Middle content

Figure 2.3 summarizes the calculated Hugoniot values for different porosities of MCX-6100 with middle content. The middle content of MCX-6100 is 14.8 wt.% RDX, 30.5 wt.% DNAN and 54.7 wt.% NTO, corresponding TMD (Theoretical Maximum Density) is 1.768 g/cm³. Experimentally measured density was 1.73 g/cm³, giving a porosity of 2.1 %.

Figure 2.3 Calculated Hugoniots for MCX-6100 middle content with 0-2.1% porosity.

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FFI-rapport 2015/01915 13 2.1.4 Bottom content

Figure 2.4 summarizes the calculated Hugoniot values for different porosities of MCX-6100 with bottom content. The bottom content of MCX-6100 is 14.7 wt.% RDX, 28.2 wt.% DNAN and 57.1 wt.% NTO giving a TMD (Theoretical Maximum Density) of 1.777 g/cm³. Experimentally measured density was 1.75 g/cm³, giving a porosity of 1.5 %.

Figure 2.4 Calculated Hugoniots for MCX-6100 bottom content with 0-2.6% porosity.

2.2 Reactive Materials

The properties of the reactive materials used in this report are given below. The density of the fillings is experimentally measured. Hugoniot is from the above calculations and the other properties have been calculated by use of Cheetah 2.0 (5).

2.2.1 MCX-6100-NoName Bunn C 36 Reactive Material

Rho, 1750 C0, 2676 S, 1.77 Lambda, CP,

CJ Pressure, 24280000000 CJ Shock, 7674

CJ Gamma, 3.245

LSGT Threshold Pressure, 3640000000 A Modified Jacobs-Roslund, 0

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Rho, 1750 C0, 2676 S, 1.77 Lambda, CP,

CJ Gamma, 3.245

Rho, 1750 C0, 2676 S, 1.77 Lambda, CP,

CJ Gamma, 3.245

2.2.4 MCX-6100-NoName Bunn C Reactive Material

Rho, 1750 C0, 2676 S, 1.77 Lambda, CP,

CJ Gamma, 3.245

2.2.5 MCX-6100-NoName Mid C Reactive Material

Rho, 1730 C0, 2598 S, 1.80 Lambda, CP,

CJ Gamma, 3.280

2.2.6 MCX-6100-NoName Mid C36 Reactive Material

Rho, 1730 C0, 2598 S, 1.80 Lambda, CP,

CJ Pressure, 23430000000

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FFI-rapport 2015/01915 15 CJ Shock, 7573

CJ Gamma, 3.280

Rho, 1730 C0, 2598 S, 1.80 Lambda, CP,

CJ Gamma, 3.280

Rho, 1730 C0, 2598 S, 1.80 Lambda, CP,

CJ Gamma, 3.280

2.2.9 MCX-6100-NoName Top C Reactive Material

Rho, 1720 C0, 2557 S, 1.83 Lambda, CP,

CJ Gamma, 3.234

2.2.10 MCX-6100-NoName Top C36 Reactive Material

Rho, 1720 C0, 2557 S, 1.83 Lambda, CP,

CJ Gamma, 3.234

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Rho, 1720 C0, 2557 S, 1.83 Lambda, CP,

CJ Gamma, 3.234

Rho, 1720 C0, 2557 S, 1.83 Lambda, CP,

CJ Gamma, 3.234

2.2.13 MCX-6100-NoName C Reactive Material

Rho, 1763 C0, 2922 S, 1.60 Lambda, CP,

CJ Gamma, 3.226

2.3 Scenarios

2.3.1 Symp MCX-6100 Bunn C

[Scenario]

[Stimulus]

One On One Warhead Outer diameter, 0.155 Inner diameter, 0.125 Case thickness, 0.015 Gurney constant, 2617 Mott B constant, M over C,

Inert Material, Steel-NoName

Reactive Material, MCX-6100-NoName Bunn C

[Mitigation]

Air

Thickness, 0.155

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FFI-rapport 2015/01915 17 [Structure]

Covered Plane Explosive Thickness, 0.015

Characteristic_ dimension, 0.15 Initial_ temperature, 298

Reactive Material, MCX-6100-NoName Bunn C

[Model]

MSIAC Jacobs-Roslund Vlim

[Simulation Parameters]

Number of points, 256

Variable1, Stimulus. Case_ thickness Variable2, Structure. Thickness 0.005;0.005

0.005;0.006 0.005;0.007 0.005;0.008 0.005;0.009 0.005;0.01 0.005;0.011 0.005;0.012 0.005;0.013 0.005;0.014 0.005;0.015 0.005;0.016 0.005;0.017 0.005;0.018 0.005;0.019 0.005;0.02 0.006;0.005 0.006;0.006 0.006;0.007 0.006;0.008 0.006;0.009 0.006;0.01 0.006;0.011 0.006;0.012 0.006;0.013 0.006;0.014 0.006;0.015 0.006;0.016 0.006;0.017 0.006;0.018 0.006;0.019 0.006;0.02 0.007;0.005 0.007;0.006 0.007;0.007 0.007;0.008 0.007;0.009 0.007;0.01 0.007;0.011 0.007;0.012 0.007;0.013 0.007;0.014 0.007;0.015 0.007;0.016 0.007;0.017 0.007;0.018 0.007;0.019 0.007;0.02 0.008;0.005 0.008;0.006 0.008;0.007 0.008;0.008

0.008;0.009 0.008;0.01 0.008;0.011 0.008;0.012 0.008;0.013 0.008;0.014 0.008;0.015 0.008;0.016 0.008;0.017 0.008;0.018 0.008;0.019 0.008;0.02 0.009;0.005 0.009;0.006 0.009;0.007 0.009;0.008 0.009;0.009 0.009;0.01 0.009;0.011 0.009;0.012 0.009;0.013 0.009;0.014 0.009;0.015 0.009;0.016 0.009;0.017 0.009;0.018 0.009;0.019 0.009;0.02 0.01;0.005 0.01;0.006 0.01;0.007 0.01;0.008 0.01;0.009 0.01;0.01 0.01;0.011 0.01;0.012 0.01;0.013 0.01;0.014 0.01;0.015 0.01;0.016 0.01;0.017 0.01;0.018 0.01;0.019 0.01;0.02 0.011;0.005 0.011;0.006 0.011;0.007 0.011;0.008 0.011;0.009 0.011;0.01 0.011;0.011 0.011;0.012

0.011;0.013 0.011;0.014 0.011;0.015 0.011;0.016 0.011;0.017 0.011;0.018 0.011;0.019 0.011;0.02 0.012;0.005 0.012;0.006 0.012;0.007 0.012;0.008 0.012;0.009 0.012;0.01 0.012;0.011 0.012;0.012 0.012;0.013 0.012;0.014 0.012;0.015 0.012;0.016 0.012;0.017 0.012;0.018 0.012;0.019 0.012;0.02 0.013;0.005 0.013;0.006 0.013;0.007 0.013;0.008 0.013;0.009 0.013;0.01 0.013;0.011 0.013;0.012 0.013;0.013 0.013;0.014 0.013;0.015 0.013;0.016 0.013;0.017 0.013;0.018 0.013;0.019 0.013;0.02 0.014;0.005 0.014;0.006 0.014;0.007 0.014;0.008 0.014;0.009 0.014;0.01 0.014;0.011 0.014;0.012 0.014;0.013 0.014;0.014 0.014;0.015 0.014;0.016

0.014;0.017 0.014;0.018 0.014;0.019 0.014;0.02 0.015;0.005 0.015;0.006 0.015;0.007 0.015;0.008 0.015;0.009 0.015;0.01 0.015;0.011 0.015;0.012 0.015;0.013 0.015;0.014 0.015;0.015 0.015;0.016 0.015;0.017 0.015;0.018 0.015;0.019 0.015;0.02 0.016;0.005 0.016;0.006 0.016;0.007 0.016;0.008 0.016;0.009 0.016;0.01 0.016;0.011 0.016;0.012 0.016;0.013 0.016;0.014 0.016;0.015 0.016;0.016 0.016;0.017 0.016;0.018 0.016;0.019 0.016;0.02 0.017;0.005 0.017;0.006 0.017;0.007 0.017;0.008 0.017;0.009 0.017;0.01 0.017;0.011 0.017;0.012 0.017;0.013 0.017;0.014 0.017;0.015 0.017;0.016 0.017;0.017 0.017;0.018 0.017;0.019 0.017;0.02

0.018;0.005 0.018;0.006 0.018;0.007 0.018;0.008 0.018;0.009 0.018;0.01 0.018;0.011 0.018;0.012 0.018;0.013 0.018;0.014 0.018;0.015 0.018;0.016 0.018;0.017 0.018;0.018 0.018;0.019 0.018;0.02 0.019;0.005 0.019;0.006 0.019;0.007 0.019;0.008 0.019;0.009 0.019;0.01 0.019;0.011 0.019;0.012 0.019;0.013 0.019;0.014 0.019;0.015 0.019;0.016 0.019;0.017 0.019;0.018 0.019;0.019 0.019;0.02 0.02;0.005 0.02;0.006 0.02;0.007 0.02;0.008 0.02;0.009 0.02;0.01 0.02;0.011 0.02;0.012 0.02;0.013 0.02;0.014 0.02;0.015 0.02;0.016 0.02;0.017 0.02;0.018 0.02;0.019 0.02;0.02

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[Scenario]

[Stimulus]

Reactive Material, MCX-6100-NoName Bunn C 36

[Mitigation]

Air

Thickness, 0.155

[Structure]

Characteristic dimension, 0.15 Initial temperature, 298

[Model]

Variable1, Stimulus.Case_thickness Variable2, Structure.Thickness 0.005;0.005

0.005;0.006 0.005;0.007 0.005;0.008 0.005;0.009 0.005;0.01 0.005;0.011 0.005;0.012 0.005;0.013 0.005;0.014 0.005;0.015 0.005;0.016 0.005;0.017 0.005;0.018 0.005;0.019 0.005;0.02 0.006;0.005 0.006;0.006 0.006;0.007 0.006;0.008 0.006;0.009 0.006;0.01 0.006;0.011 0.006;0.012 0.006;0.013 0.006;0.014 0.006;0.015 0.006;0.016 0.006;0.017 0.006;0.018 0.006;0.019 0.006;0.02 0.007;0.005 0.007;0.006

0.007;0.007 0.007;0.008 0.007;0.009 0.007;0.01 0.007;0.011 0.007;0.012 0.007;0.013 0.007;0.014 0.007;0.015 0.007;0.016 0.007;0.017 0.007;0.018 0.007;0.019 0.007;0.02 0.008;0.005 0.008;0.006 0.008;0.007 0.008;0.008 0.008;0.009 0.008;0.01 0.008;0.011 0.008;0.012 0.008;0.013 0.008;0.014 0.008;0.015 0.008;0.016 0.008;0.017 0.008;0.018 0.008;0.019 0.008;0.02 0.009;0.005 0.009;0.006 0.009;0.007 0.009;0.008

0.009;0.009 0.009;0.01 0.009;0.011 0.009;0.012 0.009;0.013 0.009;0.014 0.009;0.015 0.009;0.016 0.009;0.017 0.009;0.018 0.009;0.019 0.009;0.02 0.01;0.005 0.01;0.006 0.01;0.007 0.01;0.008 0.01;0.009 0.01;0.01 0.01;0.011 0.01;0.012 0.01;0.013 0.01;0.014 0.01;0.015 0.01;0.016 0.01;0.017 0.01;0.018 0.01;0.019 0.01;0.02 0.011;0.005 0.011;0.006 0.011;0.007 0.011;0.008 0.011;0.009 0.011;0.01

0.011;0.011 0.011;0.012 0.011;0.013 0.011;0.014 0.011;0.015 0.011;0.016 0.011;0.017 0.011;0.018 0.011;0.019 0.011;0.02 0.012;0.005 0.012;0.006 0.012;0.007 0.012;0.008 0.012;0.009 0.012;0.01 0.012;0.011 0.012;0.012 0.012;0.013 0.012;0.014 0.012;0.015 0.012;0.016 0.012;0.017 0.012;0.018 0.012;0.019 0.012;0.02 0.013;0.005 0.013;0.006 0.013;0.007 0.013;0.008 0.013;0.009 0.013;0.01 0.013;0.011 0.013;0.012

0.013;0.013 0.013;0.014 0.013;0.015 0.013;0.016 0.013;0.017 0.013;0.018 0.013;0.019 0.013;0.02 0.014;0.005 0.014;0.006 0.014;0.007 0.014;0.008 0.014;0.009 0.014;0.01 0.014;0.011 0.014;0.012 0.014;0.013 0.014;0.014 0.014;0.015 0.014;0.016 0.014;0.017 0.014;0.018 0.014;0.019 0.014;0.02 0.015;0.005 0.015;0.006 0.015;0.007 0.015;0.008 0.015;0.009 0.015;0.01 0.015;0.011 0.015;0.012 0.015;0.013 0.015;0.014

(21)

FFI-rapport 2015/01915 19 0.015;0.015

0.015;0.016 0.015;0.017 0.015;0.018 0.015;0.019 0.015;0.02 0.016;0.005 0.016;0.006 0.016;0.007 0.016;0.008 0.016;0.009 0.016;0.01 0.016;0.011 0.016;0.012 0.016;0.013 0.016;0.014 0.016;0.015 0.016;0.016

0.016;0.017 0.016;0.018 0.016;0.019 0.016;0.02 0.017;0.005 0.017;0.006 0.017;0.007 0.017;0.008 0.017;0.009 0.017;0.01 0.017;0.011 0.017;0.012 0.017;0.013 0.017;0.014 0.017;0.015 0.017;0.016 0.017;0.017 0.017;0.018

0.017;0.019 0.017;0.02 0.018;0.005 0.018;0.006 0.018;0.007 0.018;0.008 0.018;0.009 0.018;0.01 0.018;0.011 0.018;0.012 0.018;0.013 0.018;0.014 0.018;0.015 0.018;0.016 0.018;0.017 0.018;0.018 0.018;0.019 0.018;0.02

0.019;0.005 0.019;0.006 0.019;0.007 0.019;0.008 0.019;0.009 0.019;0.01 0.019;0.011 0.019;0.012 0.019;0.013 0.019;0.014 0.019;0.015 0.019;0.016 0.019;0.017 0.019;0.018 0.019;0.019 0.019;0.02 0.02;0.005 0.02;0.006

0.02;0.007 0.02;0.008 0.02;0.009 0.02;0.01 0.02;0.011 0.02;0.012 0.02;0.013 0.02;0.014 0.02;0.015 0.02;0.016 0.02;0.017 0.02;0.018 0.02;0.019 0.02;0.02

[Scenario]

[Stimulus]

One On One Warhead Outer-diameter, 0.155 Inner-diameter, 0.125 Case-thickness, 0.015 Gurney-constant, 2584 Mott B constant, M over C,

[Mitigation]

Air

Thickness, 0.155

[Structure]

Characteristic-dimension, 0.15 Initial-temperature, 298

[Model]

Variable1, Stimulus. Case-thickness Variable2, Structure. Thickness 0.005;0.005

0.005;0.006 0.005;0.007 0.005;0.008 0.005;0.009 0.005;0.01 0.005;0.011 0.005;0.012 0.005;0.013 0.005;0.014

0.005;0.015 0.005;0.016 0.005;0.017 0.005;0.018 0.005;0.019 0.005;0.02 0.006;0.005 0.006;0.006 0.006;0.007 0.006;0.008

0.006;0.009 0.006;0.01 0.006;0.011 0.006;0.012 0.006;0.013 0.006;0.014 0.006;0.015 0.006;0.016 0.006;0.017 0.006;0.018

0.006;0.019 0.006;0.02 0.007;0.005 0.007;0.006 0.007;0.007 0.007;0.008 0.007;0.009 0.007;0.01 0.007;0.011 0.007;0.012

0.007;0.013 0.007;0.014 0.007;0.015 0.007;0.016 0.007;0.017 0.007;0.018 0.007;0.019 0.007;0.02 0.008;0.005 0.008;0.006

(22)

20 FFI-rapport 2015/01915 0.008;0.007

0.008;0.008 0.008;0.009 0.008;0.01 0.008;0.011 0.008;0.012 0.008;0.013 0.008;0.014 0.008;0.015 0.008;0.016 0.008;0.017 0.008;0.018 0.008;0.019 0.008;0.02 0.009;0.005 0.009;0.006 0.009;0.007 0.009;0.008 0.009;0.009 0.009;0.01 0.009;0.011 0.009;0.012 0.009;0.013 0.009;0.014 0.009;0.015 0.009;0.016 0.009;0.017 0.009;0.018 0.009;0.019 0.009;0.02 0.01;0.005 0.01;0.006 0.01;0.007 0.01;0.008 0.01;0.009 0.01;0.01 0.01;0.011 0.01;0.012 0.01;0.013 0.01;0.014 0.01;0.015

0.01;0.016 0.01;0.017 0.01;0.018 0.01;0.019 0.01;0.02 0.011;0.005 0.011;0.006 0.011;0.007 0.011;0.008 0.011;0.009 0.011;0.01 0.011;0.011 0.011;0.012 0.011;0.013 0.011;0.014 0.011;0.015 0.011;0.016 0.011;0.017 0.011;0.018 0.011;0.019 0.011;0.02 0.012;0.005 0.012;0.006 0.012;0.007 0.012;0.008 0.012;0.009 0.012;0.01 0.012;0.011 0.012;0.012 0.012;0.013 0.012;0.014 0.012;0.015 0.012;0.016 0.012;0.017 0.012;0.018 0.012;0.019 0.012;0.02 0.013;0.005 0.013;0.006 0.013;0.007 0.013;0.008

0.013;0.009 0.013;0.01 0.013;0.011 0.013;0.012 0.013;0.013 0.013;0.014 0.013;0.015 0.013;0.016 0.013;0.017 0.013;0.018 0.013;0.019 0.013;0.02 0.014;0.005 0.014;0.006 0.014;0.007 0.014;0.008 0.014;0.009 0.014;0.01 0.014;0.011 0.014;0.012 0.014;0.013 0.014;0.014 0.014;0.015 0.014;0.016 0.014;0.017 0.014;0.018 0.014;0.019 0.014;0.02 0.015;0.005 0.015;0.006 0.015;0.007 0.015;0.008 0.015;0.009 0.015;0.01 0.015;0.011 0.015;0.012 0.015;0.013 0.015;0.014 0.015;0.015 0.015;0.016 0.015;0.017

0.015;0.018 0.015;0.019 0.015;0.02 0.016;0.005 0.016;0.006 0.016;0.007 0.016;0.008 0.016;0.009 0.016;0.01 0.016;0.011 0.016;0.012 0.016;0.013 0.016;0.014 0.016;0.015 0.016;0.016 0.016;0.017 0.016;0.018 0.016;0.019 0.016;0.02 0.017;0.005 0.017;0.006 0.017;0.007 0.017;0.008 0.017;0.009 0.017;0.01 0.017;0.011 0.017;0.012 0.017;0.013 0.017;0.014 0.017;0.015 0.017;0.016 0.017;0.017 0.017;0.018 0.017;0.019 0.017;0.02 0.018;0.005 0.018;0.006 0.018;0.007 0.018;0.008 0.018;0.009 0.018;0.01

0.018;0.011 0.018;0.012 0.018;0.013 0.018;0.014 0.018;0.015 0.018;0.016 0.018;0.017 0.018;0.018 0.018;0.019 0.018;0.02 0.019;0.005 0.019;0.006 0.019;0.007 0.019;0.008 0.019;0.009 0.019;0.01 0.019;0.011 0.019;0.012 0.019;0.013 0.019;0.014 0.019;0.015 0.019;0.016 0.019;0.017 0.019;0.018 0.019;0.019 0.019;0.02 0.02;0.005 0.02;0.006 0.02;0.007 0.02;0.008 0.02;0.009 0.02;0.01 0.02;0.011 0.02;0.012 0.02;0.013 0.02;0.014 0.02;0.015 0.02;0.016 0.02;0.017 0.02;0.018 0.02;0.019 0.02;0.02

[Scenario]

[Stimulus]

[Mitigation]

Air

Thickness, 0.155 [Structure]

Covered Plane Explosive

(23)

FFI-rapport 2015/01915 21 Thickness, 0.015

[Model]

Variable1, Stimulus. Case thickness Variable2, Structure. Thickness 0.005;0.005

0.005;0.006 0.005;0.007 0.005;0.008 0.005;0.009 0.005;0.01 0.005;0.011 0.005;0.012 0.005;0.013 0.005;0.014 0.005;0.015 0.005;0.016 0.005;0.017 0.005;0.018 0.005;0.019 0.005;0.02 0.006;0.005 0.006;0.006 0.006;0.007 0.006;0.008 0.006;0.009 0.006;0.01 0.006;0.011 0.006;0.012 0.006;0.013 0.006;0.014 0.006;0.015 0.006;0.016 0.006;0.017 0.006;0.018 0.006;0.019 0.006;0.02 0.007;0.005 0.007;0.006 0.007;0.007 0.007;0.008 0.007;0.009 0.007;0.01 0.007;0.011 0.007;0.012 0.007;0.013 0.007;0.014 0.007;0.015 0.007;0.016 0.007;0.017 0.007;0.018 0.007;0.019 0.007;0.02 0.008;0.005 0.008;0.006 0.008;0.007 0.008;0.008

0.008;0.009 0.008;0.01 0.008;0.011 0.008;0.012 0.008;0.013 0.008;0.014 0.008;0.015 0.008;0.016 0.008;0.017 0.008;0.018 0.008;0.019 0.008;0.02 0.009;0.005 0.009;0.006 0.009;0.007 0.009;0.008 0.009;0.009 0.009;0.01 0.009;0.011 0.009;0.012 0.009;0.013 0.009;0.014 0.009;0.015 0.009;0.016 0.009;0.017 0.009;0.018 0.009;0.019 0.009;0.02 0.01;0.005 0.01;0.006 0.01;0.007 0.01;0.008 0.01;0.009 0.01;0.01 0.01;0.011 0.01;0.012 0.01;0.013 0.01;0.014 0.01;0.015 0.01;0.016 0.01;0.017 0.01;0.018 0.01;0.019 0.01;0.02 0.011;0.005 0.011;0.006 0.011;0.007 0.011;0.008 0.011;0.009 0.011;0.01 0.011;0.011 0.011;0.012

0.011;0.013 0.011;0.014 0.011;0.015 0.011;0.016 0.011;0.017 0.011;0.018 0.011;0.019 0.011;0.02 0.012;0.005 0.012;0.006 0.012;0.007 0.012;0.008 0.012;0.009 0.012;0.01 0.012;0.011 0.012;0.012 0.012;0.013 0.012;0.014 0.012;0.015 0.012;0.016 0.012;0.017 0.012;0.018 0.012;0.019 0.012;0.02 0.013;0.005 0.013;0.006 0.013;0.007 0.013;0.008 0.013;0.009 0.013;0.01 0.013;0.011 0.013;0.012 0.013;0.013 0.013;0.014 0.013;0.015 0.013;0.016 0.013;0.017 0.013;0.018 0.013;0.019 0.013;0.02 0.014;0.005 0.014;0.006 0.014;0.007 0.014;0.008 0.014;0.009 0.014;0.01 0.014;0.011 0.014;0.012 0.014;0.013 0.014;0.014 0.014;0.015 0.014;0.016

0.014;0.017 0.014;0.018 0.014;0.019 0.014;0.02 0.015;0.005 0.015;0.006 0.015;0.007 0.015;0.008 0.015;0.009 0.015;0.01 0.015;0.011 0.015;0.012 0.015;0.013 0.015;0.014 0.015;0.015 0.015;0.016 0.015;0.017 0.015;0.018 0.015;0.019 0.015;0.02 0.016;0.005 0.016;0.006 0.016;0.007 0.016;0.008 0.016;0.009 0.016;0.01 0.016;0.011 0.016;0.012 0.016;0.013 0.016;0.014 0.016;0.015 0.016;0.016 0.016;0.017 0.016;0.018 0.016;0.019 0.016;0.02 0.017;0.005 0.017;0.006 0.017;0.007 0.017;0.008 0.017;0.009 0.017;0.01 0.017;0.011 0.017;0.012 0.017;0.013 0.017;0.014 0.017;0.015 0.017;0.016 0.017;0.017 0.017;0.018 0.017;0.019 0.017;0.02

0.018;0.005 0.018;0.006 0.018;0.007 0.018;0.008 0.018;0.009 0.018;0.01 0.018;0.011 0.018;0.012 0.018;0.013 0.018;0.014 0.018;0.015 0.018;0.016 0.018;0.017 0.018;0.018 0.018;0.019 0.018;0.02 0.019;0.005 0.019;0.006 0.019;0.007 0.019;0.008 0.019;0.009 0.019;0.01 0.019;0.011 0.019;0.012 0.019;0.013 0.019;0.014 0.019;0.015 0.019;0.016 0.019;0.017 0.019;0.018 0.019;0.019 0.019;0.02 0.02;0.005 0.02;0.006 0.02;0.007 0.02;0.008 0.02;0.009 0.02;0.01 0.02;0.011 0.02;0.012 0.02;0.013 0.02;0.014 0.02;0.015 0.02;0.016 0.02;0.017 0.02;0.018 0.02;0.019 0.02;0.02

(24)

2.3.5 Symp MCX-6100 C

[Scenario]

[Stimulus]

Reactive Material, MCX-6100-NoNameC

[Mitigation]

Air

Thickness, 0.155

[Structure]

Reactive Material, MCX-6100-NoNameC

[Model]

0.005;0.006 0.005;0.007 0.005;0.008 0.005;0.009 0.005;0.01 0.005;0.011 0.005;0.012 0.005;0.013 0.005;0.014 0.005;0.015 0.005;0.016 0.005;0.017 0.005;0.018 0.005;0.019 0.005;0.02 0.006;0.005 0.006;0.006 0.006;0.007 0.006;0.008 0.006;0.009 0.006;0.01 0.006;0.011 0.006;0.012 0.006;0.013 0.006;0.014 0.006;0.015 0.006;0.016 0.006;0.017 0.006;0.018 0.006;0.019 0.006;0.02 0.007;0.005 0.007;0.006 0.007;0.007 0.007;0.008

0.007;0.009 0.007;0.01 0.007;0.011 0.007;0.012 0.007;0.013 0.007;0.014 0.007;0.015 0.007;0.016 0.007;0.017 0.007;0.018 0.007;0.019 0.007;0.02 0.008;0.005 0.008;0.006 0.008;0.007 0.008;0.008 0.008;0.009 0.008;0.01 0.008;0.011 0.008;0.012 0.008;0.013 0.008;0.014 0.008;0.015 0.008;0.016 0.008;0.017 0.008;0.018 0.008;0.019 0.008;0.02 0.009;0.005 0.009;0.006 0.009;0.007 0.009;0.008 0.009;0.009 0.009;0.01 0.009;0.011 0.009;0.012

0.009;0.013 0.009;0.014 0.009;0.015 0.009;0.016 0.009;0.017 0.009;0.018 0.009;0.019 0.009;0.02 0.01;0.005 0.01;0.006 0.01;0.007 0.01;0.008 0.01;0.009 0.01;0.01 0.01;0.011 0.01;0.012 0.01;0.013 0.01;0.014 0.01;0.015 0.01;0.016 0.01;0.017 0.01;0.018 0.01;0.019 0.01;0.02 0.011;0.005 0.011;0.006 0.011;0.007 0.011;0.008 0.011;0.009 0.011;0.01 0.011;0.011 0.011;0.012 0.011;0.013 0.011;0.014 0.011;0.015 0.011;0.016

0.011;0.017 0.011;0.018 0.011;0.019 0.011;0.02 0.012;0.005 0.012;0.006 0.012;0.007 0.012;0.008 0.012;0.009 0.012;0.01 0.012;0.011 0.012;0.012 0.012;0.013 0.012;0.014 0.012;0.015 0.012;0.016 0.012;0.017 0.012;0.018 0.012;0.019 0.012;0.02 0.013;0.005 0.013;0.006 0.013;0.007 0.013;0.008 0.013;0.009 0.013;0.01 0.013;0.011 0.013;0.012 0.013;0.013 0.013;0.014 0.013;0.015 0.013;0.016 0.013;0.017 0.013;0.018 0.013;0.019 0.013;0.02

0.014;0.005 0.014;0.006 0.014;0.007 0.014;0.008 0.014;0.009 0.014;0.01 0.014;0.011 0.014;0.012 0.014;0.013 0.014;0.014 0.014;0.015 0.014;0.016 0.014;0.017 0.014;0.018 0.014;0.019 0.014;0.02 0.015;0.005 0.015;0.006 0.015;0.007 0.015;0.008 0.015;0.009 0.015;0.01 0.015;0.011 0.015;0.012 0.015;0.013 0.015;0.014 0.015;0.015 0.015;0.016 0.015;0.017 0.015;0.018 0.015;0.019 0.015;0.02 0.016;0.005 0.016;0.006 0.016;0.007 0.016;0.008

(25)

FFI-rapport 2015/01915 23 0.016;0.009

0.016;0.01 0.016;0.011 0.016;0.012 0.016;0.013 0.016;0.014 0.016;0.015 0.016;0.016 0.016;0.017 0.016;0.018 0.016;0.019 0.016;0.02 0.017;0.005 0.017;0.006 0.017;0.007 0.017;0.008

0.017;0.009 0.017;0.01 0.017;0.011 0.017;0.012 0.017;0.013 0.017;0.014 0.017;0.015 0.017;0.016 0.017;0.017 0.017;0.018 0.017;0.019 0.017;0.02 0.018;0.005 0.018;0.006 0.018;0.007 0.018;0.008

0.018;0.009 0.018;0.01 0.018;0.011 0.018;0.012 0.018;0.013 0.018;0.014 0.018;0.015 0.018;0.016 0.018;0.017 0.018;0.018 0.018;0.019 0.018;0.02 0.019;0.005 0.019;0.006 0.019;0.007 0.019;0.008

0.019;0.009 0.019;0.01 0.019;0.011 0.019;0.012 0.019;0.013 0.019;0.014 0.019;0.015 0.019;0.016 0.019;0.017 0.019;0.018 0.019;0.019 0.019;0.02 0.02;0.005 0.02;0.006 0.02;0.007 0.02;0.008

0.02;0.009 0.02;0.01 0.02;0.011 0.02;0.012 0.02;0.013 0.02;0.014 0.02;0.015 0.02;0.016 0.02;0.017 0.02;0.018 0.02;0.019 0.02;0.02

2.3.6 Symp MCX-6100 Mid C

[Scenario]

[Stimulus]

Reactive Material, MCX-6100-NoName Mid C

[Mitigation]

Air

Thickness, 0.155

[Structure]

Reactive Material, MCX-6100-NoName Mid C

[Model]

0.005;0.006 0.005;0.007 0.005;0.008 0.005;0.009 0.005;0.01 0.005;0.011 0.005;0.012 0.005;0.013 0.005;0.014 0.005;0.015 0.005;0.016 0.005;0.017 0.005;0.018 0.005;0.019 0.005;0.02 0.006;0.005 0.006;0.006 0.006;0.007

0.006;0.008 0.006;0.009 0.006;0.01 0.006;0.011 0.006;0.012 0.006;0.013 0.006;0.014 0.006;0.015 0.006;0.016 0.006;0.017 0.006;0.018 0.006;0.019 0.006;0.02 0.007;0.005 0.007;0.006 0.007;0.007 0.007;0.008 0.007;0.009 0.007;0.01

0.007;0.011 0.007;0.012 0.007;0.013 0.007;0.014 0.007;0.015 0.007;0.016 0.007;0.017 0.007;0.018 0.007;0.019 0.007;0.02 0.008;0.005 0.008;0.006 0.008;0.007 0.008;0.008 0.008;0.009 0.008;0.01 0.008;0.011 0.008;0.012 0.008;0.013

0.008;0.014 0.008;0.015 0.008;0.016 0.008;0.017 0.008;0.018 0.008;0.019 0.008;0.02 0.009;0.005 0.009;0.006 0.009;0.007 0.009;0.008 0.009;0.009 0.009;0.01 0.009;0.011 0.009;0.012 0.009;0.013 0.009;0.014 0.009;0.015 0.009;0.016

0.009;0.017 0.009;0.018 0.009;0.019 0.009;0.02 0.01;0.005 0.01;0.006 0.01;0.007 0.01;0.008 0.01;0.009 0.01;0.01 0.01;0.011 0.01;0.012 0.01;0.013 0.01;0.014 0.01;0.015 0.01;0.016 0.01;0.017 0.01;0.018 0.01;0.019

15-01915

Sympathetic reaction TEMPER simulations for 155 mm shell filled with MCX-6100 composition

Gunnar Ove Nevstad

Forsvarets

forskningsinstitutt

FFI

Sympathetic reaction TEMPER simulations for 155 mm shell filled with MCX-6100 composition

Keywords

Approved by

English summary

Sammendrag

Contents

Abbrevations

1 Introduction

2 Experiments

Cheetah Calculations for MCX-6100 with BKWC Product Library for divided shell