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Open Research Online The Open University’s repository of research publications and other research outputs Impact pressures generated by spherical particle hypervelocity impact on Yorkshire Sandstone Conference or Workshop Item How to cite: Miljkovic, K.; Taylor, E. A.; Tsembelis, K.; Proud, W. G.; Cockell, C. S. and Zarnecki, J. C. (2007). Impact pressures generated by spherical particle hypervelocity impact on Yorkshire Sandstone. In: Shock Compression of Condensed Matter, 24-29 Jun 2007, Waikoloa, Hawaii, USA, pp. 1049–1052. For guidance on citations see FAQs . c 2007 American Institute of Physics Version: Version of Record Copyright and Moral Rights for the articles on this site are retained by the individual authors and/or other copyright owners. For more information on Open Research Online’s data policy on reuse of materials please consult the policies page. oro.open.ac.uk CORE Metadata, citation and similar papers at core.ac.uk Provided by Open Research Online

Open Research OnlineThe AUTODYN hydrocode was used for the simulations of spherical particle impact to calculation the pressure generated. Previously determined C0 and S values were

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  • Open Research OnlineThe Open University’s repository of research publicationsand other research outputs

    Impact pressures generated by spherical particlehypervelocity impact on Yorkshire SandstoneConference or Workshop ItemHow to cite:

    Miljkovic, K.; Taylor, E. A.; Tsembelis, K.; Proud, W. G.; Cockell, C. S. and Zarnecki, J. C. (2007). Impactpressures generated by spherical particle hypervelocity impact on Yorkshire Sandstone. In: Shock Compression ofCondensed Matter, 24-29 Jun 2007, Waikoloa, Hawaii, USA, pp. 1049–1052.

    For guidance on citations see FAQs.

    c© 2007 American Institute of Physics

    Version: Version of Record

    Copyright and Moral Rights for the articles on this site are retained by the individual authors and/or other copyrightowners. For more information on Open Research Online’s data policy on reuse of materials please consult the policiespage.

    oro.open.ac.uk

    CORE Metadata, citation and similar papers at core.ac.uk

    Provided by Open Research Online

    https://core.ac.uk/display/3651?utm_source=pdf&utm_medium=banner&utm_campaign=pdf-decoration-v1http://oro.open.ac.uk/help/helpfaq.htmlhttp://oro.open.ac.uk/policies.html

  • IMPACT PRESSURES GENERATED BY SPHERICAL PARTICLE

    HYPERVELOCITY IMPACT ON YORKSHIRE SANDSTONE

    K. Miljković1, E. A. Taylor1, K. Tsembelis1, 2*, W. G. Proud2, C. S. Cockell3 and J. C. Zarnecki3

    1Department of Physics and Astronomy, CEPSAR, Open University, Milton Keynes, MK7 6AA, U. K.

    2Physics and Chemistry of Solids, Cavendish Laboratory, Madingley Road, Cambridge CB3 0HE, U.K. 3Planetary and Space Science Research Institute, CEPSAR, Open University, Milton Keynes, MK7 6AA, U. K.

    *: Now at Atomic Energy of Canada Ltd, Chalk River Labs, ON, Canada.

    Abstract. Hypervelocity impact tests were carried out at 4.8 km/s using the Open University's All Axis Light Gas Gun (AALGG) in the Planetary and Space Sciences Research Institute (PSSRI)’s Hypervelocity Impact Laboratory. A first estimate of the peak loading pressures was made using preliminary hydrocode simulations, supported by calculations. Following a review of existing published quartz and sandstone data, our previously published plate impact data were combined with high pressure quartz data to produce a synthetic Hugoniot. This will form the basis of future hydrocode modelling, as a linear Us-Up relationship does not adequately represent the behaviour of sandstone over the pressure range of interest, as indicated by experimental data on Coconino sandstone. This work is a precursor to investigating the biological effects of shock on microorganisms in sandstone targets. This paper also contains the first presentation of results of ultra high speed imaging of hypervelocity impact at the Open University.

    Keywords: Sandstone, Hugoniot, Particle Impact, Microbial Life, Hydrocode. PACS: 62.50.+p, 61.43.Gt, 07.35.+k.

    INTRODUCTION

    Recent research has evaluated the conditions for the development of microorganisms in impact structures. Our understanding of present-day microbiology of these impact structures is limited. There is also little understanding of about how impact heating and shock alter the suitability of rocks as sites for microbial colonization, nor of the effects of non-lethal impact on the microbial life. For example, shock processing of rocks at the Haughton impact structure (impact shocked gneiss) in the Canadian High Arctic has made them more colonisable by cyanobacteria [1]. Following a review of existing published quartz and sandstone data, our plate impact data were combined with high pressure quartz data to produce a synthetic

    Hugoniot. This will form the basis of future hydrocode modelling. A first estimate of the peak loading pressures was made using preliminary hydrocode simulations, supported by impedance matching and analytical calculations. Experimental particle impact data was also produced using the All Axis Light Gas Gun (AALGG) in the Planetary and Space Sciences Research Institute (PSSRI)’s Hypervelocity Impact Laboratory This work is a precursor to investigating the effects of shock on microorganisms in sandstone targets.

    EXPERIMENTAL PROCEDURE

    The Open University’s All Axis Light Gas

    Gun (AALGG) (Fig. 1) was used to accelerate a 1

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    CP955, Shock Compression of Condensed Matter - 2007, edited by M. Elert, M. D. Furnish, R. Chau, N. Holmes, and J. Nguyen © 2007 American Institute of Physics 978-0-7354-0469-4/07/$23.00

  • mm diameter spherical stainless steel projectile at a velocity of 4.8 km/s, which was measured using laser velocimetry. The target, consisting of Yorkshire sandstone plate assemblies, was mounted 30° (from the horizontal) to the line of flight (Fig. 2). A DRS Ultra High Speed Camera (Ultra 8), with velocity calculation and camera triggering by MS Instruments equipment, was used for high speed imaging. One 500 J flash head was used for illumation, triggered from the laser velocimetry equipment. An overview of the Open University’s Hypervelocity Impact Laboratory including the AALGG, is reported elsewhere [2].

    Figure 1. OU’s AALGG. The Ultra 8 camera was mounted to image inside the chamber, via a small mirror.

    Figure 2. Target configuration, showing FOV of ultra high speed camera and the target measurements made

    (grid cell is 1x1 cm). The darker area indicates location of B. subtilis bacteria doping.

    EXPERIMENTAL RESULTS

    A total of 13 shots were carried out. As other

    work was ongoing in parallel (e.g. varying stop plate diameter of hole; testing a burst disk (or petal valve) design), only 1 test produced a clean single impact on target (Fig. 3a). Some other targets

    showed two impacts (e.g. Fig. 3b). A profilometer was used to measure the depth of the crater. Examination of the craters on the stop plate craters suggests that the second impact may be due to a part of whole of the burst disk (largest dimension 0.5 mm thick, 4.5 mm diameter flat disk) impacting the target. A further four impacts were captured using ultra high speed imaging. These clearly show two impacting projectiles and the ejecta plume (Fig. 6, Fig. 7 shown on the last page). Further work on burst disk design is planned. Exploratory research on the cyanobacterium Chroococcidiopsis sp. has identified that the organisms near the crater rim on ejected fragments have survived the impact.

    (a) (b) Figure 3. (a) Single impact (b) Two impacts.

    HYDROCODE SIMULATIONS

    The AUTODYN hydrocode was used for the simulations of spherical particle impact to calculation the pressure generated. Previously determined C0 and S values were used [3]. A simple Drucker-Prager formulation was used for strength calculations. Data from lateral stress gauges provided the parameters for the strength model [4].

    Previously published Coconino sandstone data, including upper and lower bands indicated by measurement errors are plotted in P-V space (Fig. 5 shown on the last page). A high pressure quartz Hugoniot, derived from the high pressure quartz data in Ref. 6, is also plotted in Fig. 5 (P de Carli, personal communication). The C0 and S values for this high pressure quartz Hugoniot are reported in Table 1.

    The peak pressures calculated for normal incidence were compared with impedance

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  • matching calculations and analytical solutions in Table 2 [7, 8], and show agreement within 15-20%.

    Note that the plate impact data in Ref. 3 hint at a porosity crush in Yorkshire sandstone. It is clear that the linear Us-Up derived from the experimental measurements may be only a first approach. More detailed work is needed to resolve any two wave shock structure. It is possible that at least some of the differences (in the pressure-volume plane) among the various porous quartz (sand and sandstone) crush curves may simply be due to single shock versus multiple shock interpretations of the data (P de Carli, personal communication). As a first step, a synthetic Yorkshire sandstone Hugoniot was constructed by interpolating between the two, as shown in Fig. 4.

    Material Density

    [g/cm3] C0 [km/s]

    Slope, S

    Sandstone [3] 2.24 2.07 1.94 Quartz (pers comm.)

    2.65 1.67 1.78

    Stainless steel (SS) [9]

    7.86 4.61 1.73

    TABLE 1. Hugoniot data

    Approx peak P [GPA]

    Cav_SHOCK [8] LE [7]

    Hydro-code

    Sandstone/SS 70 98 55

    Quartz/ SS 73 105 N/A

    TABLE 2. Peak pressure (4.8 km/s, normal incidence)

    0

    2

    4

    6

    8

    10

    12

    14

    16

    0 1 2 3 4 5Up (km/s)

    Us (

    km/s

    )

    Us = 1.60Up + 1.20

    Small changes to the interpolation region produce different fitsA: Us = 1.88Up + 2.09B: Us = 0.67Up + 3.39 (Us 4-5 km/s)Sensitivity studies required

    Yorkshire sandstone

    High P quartz (de Carli)

    Us = 0.81Up + 3.13

    Us = 1.94Up + 2.07

    AB

    C

    Figure 4. Derived Us-Up data for Yorkshire

    sandstone.

    DISCUSSION AND FURTHER WORK

    The results presented here are only an initial estimation of pressures generated on spherical particle impact. The synthetic Hugoniot presented in Fig. 4 will be implemented into AUTODYN and CAV_KO to provide updated predictions of pressures (including time duration of pressures). Spall models – also an area of ongoing research - will be used to estimate pressures experienced by ejected fragments. Waste heat generated will provide a first estimate of temperature [10]. However, modelling of the release behavior of sandstone is a challenge and even though the porosity crushup can be modeled more easily, the hysteretic high pressure transformation will require implementation of new sub-routines.

    CONCLUSIONS

    A first estimate of the peak pressures on spherical particle impact has been made. Synthetic sandstone Hugoniot presented in this paper will be implemented in AUTODYN and CAV_KO to improve the predictions of peak pressures. More work is needed before conclusions can be drawn on the pressures experienced by B. subtilis.

    ACKNOWLEDGEMENTS The design of the AALGG was led by Prof J. A.

    M. McDonnell, with design and implementation support by Chris Hall [11]. Ken Watson, HVI Laboratory Technician, supported this test programme. E. A. Taylor would like to acknowledge the valuable contributions of Mabs Gilmour (OU), Dave Strange (PAI), Nigel Thomas (SDE) and Doug Day (AWE) Brian Speyer of DRS Data and Imaging Systems. Funding for the lead author’s Ph.D. is provided by the Open University and EADS Astrium. Dr A. Jones (UCL) provided access to profilometry equipment. Paul de Carli (SRI, UCL) and Emily Baldwin (UCL) supported discussions on modelling of sandstone. The input of Dr. Darren White (Century Dynamics, ANSYS) and colleagues is acknowledged.

    1051

  • 0

    10

    20

    30

    40

    50

    60

    70

    80

    90

    100

    0.2 0.25 0.3 0.35 0.4 0.45V, g/cc

    P, G

    Pa

    Ahrens and Johnson Coconino (Elastic phase)Ahrens and Johnson Coconino (Low P phase)Ahrens and Johnson Coconino (Mixed region)Ahrens and Johnson Coconino (High P phase)Mixed region - upper errorMixed region - lower errorHigh P phase - upper errorHigh P phase - lower errorTaylor et al.Yorkshire sandstonede Carli quartz with high pressure releaseAhrens and Johnson QuartzInterpolation (this paper)

    direct measurements

    Figure 5. P-V data for quartz and sandstone [3, 4, 5, 6].

    Figure 6. High speed imaging sequence for impact #12. The frame exposure was 2 µs and the interframe rate 20 µs.

    Figure 7. High speed imaging sequence for impact #13. The frame exposure was 2 µs and the interframe rate 20 µs.

    REFERENCES

    1. Cockell, C.S.et al., Impact-induced microbial endolithic habitats, MAPS, 37, 1287-1298, 2002.

    2. Taylor, E. A. et al., The OU HVI Laboratory, Proc. 57th ARA Meeting, Italy, Sept. 2006.

    3. Taylor, E. A. et al., Hugoniot Properties of Dry Yorkshire Sandstone up to 8 GPa, Proc. SCCM 2005, 1488-1491, 2005.

    4. Taylor, E. A. et al., Dynamic Response of Dry Sandstone under 1-D Shock Wave Loading: Experiments & Simulations, 1st Conf. Impact Cratering Solar System, Netherlands, May 2006.

    5. Ahrens, T. J., and Johnson, M. L., Shock Wave Data for Rocks, AGU Ref. Shelf 3, 1995.

    6. Ahrens, T. J., and Johnson, M. L., Shock Wave Data for Minerals, AGU Ref. Shelf 2, 1995.

    7. Mizutani, H. et al., New Scaling Laws on Impact Fragmentation, Icarus, 87, 307-326, 1990.

    8. Tsembelis, K., CAV_SHOCK and CAV_KO software, http://www.shockphysics.com

    9. Matuska, D. A., HULL users manual, AFATL-TR-84-59, June 1984.

    10. Sharp, T. G. and deCarli, P. S., Shock Effects in Meteorites, p.653-677 in Meteorites Early Solar System II, Univ. Arizona Press, 2006.

    11. McDonnell, J. A. M., Int. J. Impact Engng., 33, 410-418, 2006.

    1052

    Welcome ScreenTitle PageProceedingsCopyrightPrefaceForewordTopical Group on Shock Compression of Condensed Matter: 2006-2007 APS FellowsPhotograph: Recipient of the APS Shock Compression Science Award, 2007Conferences of the APS Topical Group on Shock Compression of Condensed MatterContentsPART ONECHAPTER I - PLENARYThe Shock Wave ProfileTown Hall Meeting: Future Directions in Dynamic High Pressure Research

    CHAPTER II - EQUATION OF STATE: NONENERGETIC MATERIALSMeasurements of the Release of Alpha Quartz: A New Standard for Impedance-Matching ExperimentsThe Dissociation and Thermodynamics of Dense Fluid Oxygen by Self-Consistent Fluid Variational TheoryStatic High Pressure X-Ray Diffraction of Ti-6Al-4VModeling Dynamic Ductility: An Equation of State for Porous MetalsOn the Applicability of Analytical Models to Predict Hugoniot of Nano-Sized Powder CompactsBrillouin-Scattering Determination of the Acoustic Properties of Polymers at High PressureLiquid Metal Free Energies from Ab Initio Potential SurfacesWave Propagation in Materials with Non-Convex Equations of StateDynamic Properties of a PB-SB AlloyEquation of State for Ti-Beta-21STabular Multiphase Equations of State for Metals and Their ApplicationsMulti-Phase Equation of State for AluminumAnalytical Equations of State for Use in Hydro-CodesEquation-of-State Measurements in Ta2O5 AerogelShock Compression and Equation of State Of C60 FulleriteImproved EOS for Describing High-Temperature Off-Hugoniot States in EpoxyGruneisen Equation of State for Condensed Media and Shock ThermodynamicsSystematics of Compression of Hard MaterialsConstitutive Modelling of Shock Compression of a Porous CopperMultiphase Equation of State and Strength Properties of Beryllium from Ab Initio and Quantum Molecular Dynamics CalculationsA New Tabular EOS for Hydrogen IsotopesStudy of Phase Transitions in Cerium by PVDF GaugeDynamic Loading of Teflon at 200°CHugoniot Measurement of Gold in Pressure Range to 580 GPaMeasurement of Sound Velocities and Shear Strength of Cerium under Shock Compression

    CHAPTER III - EQUATION OF STATE: ENERGETIC MATERIALSShock Hugoniot Behavior of Particle Reinforced Polymer CompositesPhase Stability of Epsilon and Gamma HNIW (CL-20) at High-Pressure and TemperatureEquation of State and Failure Criteria of Dual Functional Structural Energetic MaterialsA Finite Strain, Non-Reacted EOS for PBX9502

    CHAPTER IV - PHASE TRANSITIONSTEM Observation of Disproportionation of Mullite and Sillimanite under Shock CompressionEffect of Pulse Duration on Polytetrafluoroethylene Shocked above the Crystalline Phase II-III TransitionA Multi-Phase Equation of State for BismuthEffect of Nano-Void on the Phase Transformation of Single Crystal Iron under Shock CompressionMeasurement of the Dynamic Beta-gamma Phase Boundary in TinPhase Transformation and Spall Fracture in Laser Shock-Loaded IronCurrent Output from Sandwich-Structured Ferroelectric Power SupplyHigh Pressure X-Ray Diffraction Studies On Bi2-xSbxTe3 (x=0,1,2)Shock Compression Properties of Hard MaterialsHigh Pressure Electronic Conduction from a Phenomenological Equation of State Application to TinOn the Maximal Deviation from the Mirror Image Approximation due to Solid Liquid Phase TransitionShock Compression of Magnesium Silicon NitrideInitial Temperature Effects on the Dielectric Properties of PZT 95Õ5 during Shock CompressionPhase Transitions of C70 Fullerite under Step-Like Shock CompressionSurface Specularity as an Indicator of Shock-Induced Solid-Liquid Phase Transitions in TinHugoniot and Phase Transition in Silicon Nitride Porous SamplesDynamic Response of Pure Titanium up to 1000°CDischarge of PZT95/5 Ferroelectric Ceramics under Tilted Shock Wave CompressionShock-Wave Loading of Graphite in Steel Targets with Conic Cavities

    CHAPTER V - MODELING, THEORY, AND SIMULATIONS (NON-MD): NONENERGETIC MATERIALSMore on the Response of Ceramics to Shock WavesMesoscale Calculations of Shock Loaded Granular CeramicsSolitary and Shock Waves in Strongly Nonlinear MetamaterialsA Two-Scale FEM Formulation for Hetereogeneous MaterialsModeling of the Slip-Twinning Transition in Nanocrystalline Nickel and Nickel-Tungsten under Shock CompressionNumerical Simulation of Interaction of Hypervelocity Particle Stream with a TargetA Steinberg-Guinan Model for High-Pressure Carbon: Diamond PhasePhase Transitions, High-Rate Straining, and Fracture of Iron under Spherical Explosive LoadingKinetic Behaviour of Failure Waves in a Filled GlassAn Extended Finite Element Method Formulation for Modeling the Response of Polycrystalline Materials to Dynamic LoadingPrecursor Decay in Single Crystal Lithium FluorideUnsteady State Rankine-Hugoniot Jump ConditionsJump across an Outgoing Spherical Shock Wave FrontEvaluation of the Precursor Decay Anomaly in Single Crystal Lithium FluorideDynamic Yielding behind Near-Steady PrecursorsCAV_KO: A Simple 1-D Langrangian Hydrocode for MS ExcelŽ with Automatic Generation of X-T DiagramsModelling Shock Waves in Composite MaterialsMesoscale and Continuum Calculations of Wave Profiles for Shock-Loaded Granular CeramicsPerturbations Caused by Lateral Stress Gauges

    CHAPTER VI - MOLECULAR DYNAMICS (MD) MODELING: NONREACTIVE MATERIALSSimulation of Fluid Instabilities Using Atomistic MethodsMolecular Dynamics Simulation of Thermodynamic and Mechanical Properties of Be and MgFrictional Interactions at Compressed Al InterfacesAtomistic Simulations of Shock-Induced Phase Transformations in Polycrystalline IronModeling of Al Crystal Fracture under High-Rate Strain Based on Atomistic SimulationsMolecular Dynamics Simulations of an Anomalous Response of Diamond to Shock CompressionTemperature Measurements of Shocked Crystals by Use of Nanosecond X-Ray DiffractionAtomistic Simulation of Plasticity and Fracture of Crystalline and Polycrystalline Metals under High Strain RateThe Relation between Solitons and Interactions in BCC MaterialsAtomistic Study of Nanoprecipitates Influence on Plasticity and Fracture of Crystalline MetalsVoid Growth in Single and Bicrystalline Metals: Atomistic CalculationsAtomistic Simulations of Fracture in Nanocrystalline Copper under High Strain Rates

    CHAPTER VII - MODELING, THEORY AND SIMULATIONS (NON-MD): ENERGETIC MATERIALSEstimate of Shock-Hugoniot Adiabat of Liquids from HydrodynamicsEigenvalue Detonation of Combined Effects Aluminized ExplosivesAnisotropic Constitutive Relationships in Energetic Materials: PETN and HMXCylindrical Explosive Dispersal of Metal ParticlesMulti-Scale Statistical Design of High Energy Density MaterialsThe Crest Reactive Burn ModelDetonation Failure in Ideal and Non-Ideal ExplosivePredicting Noncovalent Interactions with Nonlocal Density Functional TheoryCritical Diameter Prediction for Steady Detonation in Gasless Metal-Sulfur CompositionsAn Effect of Charged and Excited States on Decomposition of 1,1-Diamino-2,2-DinitroethyleneModelling of Detonation in PBX 9502 Using a Stiffened-Gas EOS Mixture ModelPhysics-Based Reactive Burn Model: Grain Size EffectsAnisotropic Constitutive Relationships in Energetic Materials: Nitromethane and RDXReactive Flow Calculation near a Free BoundaryAcceleration and Heating of Metal Particles in Condensed Explosive DetonationMonte Carlo Simulations of the Effect of Cross-Potential Variations on the Equation of State of N2/CO2 Mixtures and of Detonation ProductsCalculation of RDX Molecular Crystal Geometry and Vibrational Frequencies under Hydrostatic PressureCritical Ignition Transients in Condensed ExplosivesJaguar Procedures for Detonation Behavior of Silicon Containing ExplosivesIgnition and Growth Modeling of Detonating TATB Cones and ArcsGeneralized Pseudo-Reaction Zone Model for Non-Ideal ExplosivesAb Initio Equation of State For BETA-HMX

    CHAPTER VIII - MOLECULAR DYNAMICS (MD) MODELING: ENERGETIC MATERIALSAb Initio Molecular Dynamics Simulations of Water under Static and Shock Compressed ConditionsFirst-Principles Reactive Molecular Dynamics of Chemistry in Detonating Energetic MaterialsMolecular Dynamics Studies of Thermal Induced Chemistry in TATBNonmetal-to-Metal Transition in Warm Dense Hydrogen and HeliumA Transient Semi-Metallic Layer in Detonating NitromethaneMolecular Dynamics Simulation of TATB-Like Explosive

    CHAPTER IX - INELASTIC DEFORMATION, SPALL, FRACTURE, AND FRAGMENTATIONThe Response of Concrete to Shock-LoadingOn the Spall Strenghts and Hugoniot Elastic Limits of Some Strong CeramicsEmbedded Cohesive Elements (ECE) Approach to the Simulation of Spall Fracture ExperimentDynamic Response of 5083-H131 Aluminum AlloyThe Shear Strength and HEL of Various Geological MaterialsExamination of the Spallation Behavior of Cerium MetalPhase Transition Behavior and Abnormal Spall in FeMnNi Alloy with Low �- � Transition StressFront Face Spall of ConcreteLaser-Induced Spall of Aluminum and Aluminum Alloys at High Strain RatesShear Strength of Aluminum OxynitrideTransition from Solid to Liquid Spall in Tin under Laser Shocks of Increasing IntensityHopkinson Bar Studies of a PBX SimulantHigh Strain-Rate Properties of Tantalum Processed by Equal Channel Angular PressingStatistics of the Hugoniot Elastic Limit from Line VisarThe Strength of Polyethylene and Polyoxymethylene under Shock LoadingPressure-Shear Plate Impact of Aluminum at Elevated TemperaturesTwo Critical Damage Parameters for the Dynamic Tensile Fracture of Ductile MetalSpall Fracture of Metallic Circular Plates, Vessel Endplates and Conical Frustums Driven by Direct Explosive LoadsLongitudinal Propagation of Fracture Surface in Cylindrical Metal Shells under Explosive LoadingExperimental Series on Behavior of Post-Damage Recollected MaterialThe Dynamic Behavior of Mortar under Impact-LoadingShockwave Profile and Bauschinger Effect in Depleted UraniumDynamics of the Onset of Damage in Metals under Shock LoadingDynamic Compression of a Zirconium-Based Bulk Metallic Glass Confined by a 316 Stainless Steel SleeveA Viscoelastic Fracture Model for Simulation of Solid Propellant ImpactsA Study of the Critical Fracture Behavior of High Purity Aluminum in the Dynamic LoadingA Study of the Effect of Potting Voids on the Fragmentation of an Explosively Driven Nitinol ShellHydrocode Modeling and an Experimental Study of Explosively Driven Water JetsInfluence of Nano-Size Inclusions on Spall Fracture of Copper Single CrystalsNickel Based Superalloy Containment Case Design: Constitutive Modeling and Computational AnalysisStudy of the Projectile Impact on Aluminum Targets Divided by WaterFragment-Size Prediction during Dynamic Fragmentation of Shock-Melted Tin: Recovery Experiments and Modeling IssuesTemporal Softening and Its Effect upon StrengthStudies on the Fracture of HR-2 Steel and LY12 Aluminum Cylinders under Explosive ImplodingSpallation Damage in Copper with Columnar GrainsSimulation of a Shock Recovery ExperimentPressure Effects on the Ejection of Material from Shocked Tin Surfaces

    CHAPTER X - CONSTITUTIVE AND MICROSTRUCTURAL PROPERTIES OF METALSTwinning and Dynamic Strength of Copper during High-Rate StrainDislocation Mechanics under Extreme PressuresConstitutive Model Constants for Low Carbon Steels from Tension and Torsion DataA Numerical Investigation of Sleeved Taylor Anvil SpecimensThe Influence of Peak Shock Stress on the Quasi-Static Reload Response of HCP MetalsStrength of Materials under Static Loading in the Diamond Anvil CellAn Integrated Experimental-Numerical Method for Characterization of Materials at High Strain RatesA Phenomenological Viscoplastic Constitutive Model for M1 Cu Accounting for Grain MorphologyInfluence of Microstructure on the Bauschinger Effect and the Shock Hardening in 1080 High-Carbon SteelStrength of the Aluminium Alloy 6082-T6 under High Strain-Rate ConditionsHydrocode Analysis of Lateral Stress Gauges in Shocked TantalumEffects of Processing Techniques on the Shock Response of BeShock Loading and Taylor Impact of Ti-6Al-4VLongitudinal and Lateral Stress Measurements in Stainless Steel 304L under 1D Shock LoadingAn X-Ray Study of Shock-Recovered Ta Single Crystals

    CHAPTER XI - MECHANICAL PROPERTIES OF POLYMERS AND COMPOSITESInitial Temperature Effects on the Shock Compression and Release Properties of Different Alumina-Filled Epoxy CompositionsStrength of Polyethylene, Polypropylene and Polystyrene behind a Shock FrontInfluence of Polyethylene Molecular Conformation on Taylor Impact Measurements: A Comparison of HDPE, UHMWPE, and PEXShock Induced Equation of State of PolyvinylchlorideIncremental Stress-Strain Response of Polymers Using Instrumented Reverse Taylor Anvil ImpactsUsing Laser Induced Shock Waves to Investigate the Nanoparticle Transition from Bulk Behavior to Discrete Atom/Finite Size BehaviorPressure-Sensitivity and Tensile Strength of an Elastomer at High Strain RatesThe Effect of Mechanical Deformation on the Glass Transition Temperature of PolyureaThe Effect of Fibre Orientation on the Shock Response of a Glass-Fibre Epoxy CompositeShear Strength and its Variation According to Structure in Shock Loaded PolyethyleneMechanical and Microstructural Properties of PTFE/Al/W SystemAn Investigation of the Sub-Microsecond Features of Dynamic Crack Propagation in PMMA and the RDX-Based Explosive PBX 9205

    PART TWOCHAPTER XII - MECHANICAL PROPERTIES OF CERAMICS, GLASSES, IONIC SOLIDS, AND LIQUIDSThe Hugoniot Elastic Limit of Soda-Lime GlassFailure above and below the Elastic Limit in AD995Experimental Study on Shear Response of 92.93 Wt% Alumina under Combined Pressure-Shear LoadingDynamic Mechanical Behavior of Boron Carbide Based CompositesPhenomenological Description of the Failure Waves in GlassesDamage-Failure Transition: Dynamic Crack Branching, Fragmentation, Failure WaveFailure Kinetics in Borosilicate Glass during Rod ImpactOn the Shock Response of Soda Lime Glass: The Failure of Embedded Stress GaugesA Study of Pre-Stress Effect on the Failure Waves in Glasses

    CHAPTER XIII - MECHANICAL PROPERTIES OF REACTIVE MATERIALSHigh Strain and Strain-Rate Behaviour of PTFE/Aluminuim/Tungsten MixturesComparison of Porter-Gould Constitutive Model with Compression Test Data for HTPB/SugarReaction of Titanium and Zirconium Particles in Cylindrical Explosive ChargesSimulation of Particle Size Effect on Dynamic Properties and Fracture of PTFE-W-Al CompositesThe Effect of Cracks and Voids on the Dynamic Yield of RDX Single CrystalsEffect of Aluminum Particle Size on the High Strain Rate Properties of Pressed Aluminized ExplosivesDamage Formation during High Strain Rate Deformation of PBS9501Brazilian Disc Testing of a UK PBX above and below the Glass Transition Temperature

    CHAPTER XIV - DETONATION AND BURN PHENOMENAApplication of Detonation Shock Dynamics (DSD) to Youngs-Type Discontinuous Interface GeometryDetonation Shock Dynamics Calibration of PBX 9501Interaction between a Steady Detonation Wave in Nitromethane and Geometrical Complex Confinement DefectsEffect of Phase Transitions of Inert Additives on Detonation Properties of Porous ExplosivesBurn Propagation in a PBX 9501 Thermal ExplosionCritical Temperature Correlation for a Near-Unity Aspect Ratio Charge of Arbitrary Size and ShapeDetonation Failure Thickness Measurement in an Annular GeometryNumerical Modeling of Munroe JetsShock Reactivity Study on Standard and Reduced Sensitivity RDX of Different Particle Size DistributionsIgnition of TNT Using a CO2 LaserThermal Properties of a UK PBX and Binder SystemNon-Random Crack Opening in Partially Confined, Thermally Damaged PBX 9501 and Observations on Its Effects on CombusitonHigh-Speed Photography of Detonation Propagation in Dynamically Precompressed Liquid ExplosivesModeling the Asymmetric Burning of Agglomerate ParticlesThe Incidental Effects of Gaps in Detonating PBX 9501An Experimental Study of Corner Turning in a Granular Ammonium Nitrate Based ExplosiveAnalysis of Wave Curvature Experiments for Monomodal Explosives with Different Crystal Quality and Particle Size CharacteristicsThe Energy Diameter EffectApplication of the Crest Reactive Burn Model to Two-Dimensional PBX 9502 Explosive ExperimentsPost-Detonation Energy Release from TNT-Aluminum Explosives

    CHAPTER XV - EXPLOSIVE AND INITIATION STUDIESFOX-7 Specific Heat Prediction from a Proposed Nominal O Generic Specific Heat for CHNO Energetic CompoundsPBX-9502 Shock Sensitivity Correlation with Specific Heat and Reactive Temperature MagnitudesA Study of SDT in an Ammonium Nitrate (NH4 NO3) Based Granular ExplosiveShock Initiation Experiments on PBX 9501 Explosive at Pressures below 3 GPa with Associated Ignition and Growth ModelingShock Initiation Experiments on the LLM-105 Explosive RX-55-AA at 25 (degrees) C and 150 (degrees) C with Ignition and Growth ModelingFactors Affecting Internal BlastExtended Run Distance Measurements of Shock Initiation in PBX 9502Low Velocity Detonation of Nitromethane Affected by Precursor Shock Waves Propagating in Various Container MaterialsA Computational Study of Microstructure Effects on Shock Ignition Sensitivity of Pressed RDXPredicting Runaway Reaction in a Solid Explosive Containing a Single CrackThe Puzzle of Explosive Response to Shock: Complexity to Simplicity by Changing the Observational ScaleShock Initiation Thresholds for Insensitive High ExplosivesInitiation of Polymer Bonded Explosive (PBXN-110) by Combined Shock and Shear LoadingRecent Developments in Shear Ignition of Explosives Using Hybrid Drop Weight-Hopkinson Bar ApparatusA Comparison of the Blast and Fragment Mitigation Performance of Several Structurally Weak MaterialsObservations of Shock-Induced Partial Reactions in High ExplosiveNon-Shock Initiation of the Plastic Bonded Explosive PBXN-5: Experimental ResultsEffect of Electric Fields on Sensitivity of an HMX Based ExplosiveMicro-Gap Experiments and Insensitive ExplosivesEffect of Aluminum Particle Size on the Impact Initiation of Pressed PTFE/Al Composite RodsPressing Induced Polymorphic Phase Transition in Submicron-Sized Gamma-HMXCharacterization and Modification of Thermally Stable High Explosives for Laser Flyer ApplicationsIndividual Contributions of Friction and Impact on Non-Shock Initiation of High ExplosivesThe Evolution of Sensitivity in HMX-Based Explosives during the Reversion from Delta to Beta PhaseViolent Reactions from Non-Shock StimuliMicroenergetics: Combustion and Detonation at Sub-Millimeter ScalesA Study of the Shock Sensitivity of PBX 9501 Damaged by Compressive LoadingNon-Shock Initiation Model for Plastic Bonded Explosive PBXN-5: Theoretical ResultsShock Initiation Experiments on the HMX Based Explosive LX-10 with Associated Ignition and Growth ModelingLarge Area and Short-Pulse Shock Initiation of a TATB/HMX Mixed ExplosiveInvestigation of Formulations Containing Perfluoro-Coated Oxide-Free Nano-Aluminum

    CHAPTER XVI - SHOCK-INDUCED MODIFICATIONS AND MATERIALS SYNTHESISMechanistic Aspects of Shock-Induced Reactions in Ni+Al Powder MixturesShock Consolidation of Nanocrystalline Aluminum for Bulk Component FormationShock Reactivity of Non-Porous Mixtures of Manganese and SulfurTime-Resolved Temperature Measurements of Shock Initiation in a Manganese-Sulfur MixtureMulti-Megabar Pressure and Super-Dense Materials Created by Laser-Induced Micro-Explosion inside of Transparent SolidShock-Induced Reactions in Cylindrical Charges of Titanium-Silicon Powder MixturesImpact Pressures Generated by Spherical Particle Hypervelocity Impact on Yorkshire SandstoneAnalysis of Particle Penetration into Aluminum Plate Using Underwater Shock WaveEffect of Shock Compression on Aluminum Particles in Condensed Media

    CHAPTER XVII - INSTRUMENTATIONMeasuring Densities of High-Velocity Metallic Sprays Using Piezoelectric SensorsExperimental and Theoretical Assessment of a Device Used For Evaluation of Blast and Fragmentation EffectsNew Optical Diagnostics for Equation of State Experiments on the Janus Laser

    CHAPTER XVIII - EXPERIMENTAL DEVELOPMENTS (INCLUDING NOVEL VELOCIMETRY TECHNIQUES)Measurement of Shock Propagation and Metal Plasma Expansion in Underwater Wire Explosion by Utilizing CW LaserNew High Pressure Encapsulation Material for Manganin GaugesImproved Temperature Control System for Gas Gun TargetsUsing Schlieren Visualization to Track Detonator PerformanceTransient Imaging Displacement Interferometry Applied to Shock LoadingDevelopment of Third Harmonic Generation as a Short Pulse Probe of Shock Heated MaterialStudy of Underwater Shock Compaction Device for Compaction of Titanium DiborideShock Compaction of MnAs1-xSbx Powder Using Underwater Shock WaveConfocal Microscopy of Water under Static PressureThe Dynamic Response of Piezoelectric Probes to Low Density Foam ImpactAnisotropic Decomposition of Energetic MaterialsCoherent THz Frequency Radiation from Shock Waves: A New Ultrafast Strain Wave Detection MechanismDirect Shock-Density Measurements Using Plate Impact and Proton RadiographyAn Investigation of Surface Velocimetry of Shocked Polyethylene Using HetVNew Capabilities of 800 MeV Proton Radiography at Los AlamosProton Radiography of a Thermal Explosion in PBX9501Using the Heterodyne Method to Measure Velocities on Shock Physics ExperimentsDevelopment of a Single-Stage Implosion-Driven Hypervelocity LauncherStudy of Small Dimension Specimens on SHPB Test

    CHAPTER XIX - ISENTROPIC AND OFF-HUGONIOT EXPERIMENTSHigh-Pressure Quasi-Isentropic Loading and Unloading of Interferometer Windows on the Veloce Pulsed Power GeneratorVeloce: A Compact Pulser for Dynamic Material Characterization and Hypervelocity Impact of Flyer PlatesIsentropic Compression Studies of Energetic Composite ConstituentsRamp Compression Experiments—A Sensitivity StudyTwo-Step Loading in a Split Hopkinson Pressure BarRamp Wave Stress-Density Measurements of Ta and WAnalyzing Ramp Compression Wave ExperimentsNew Experimental Capabilities and Theoretical Insights of High Pressure Compression WavesA New Experimental Design for Laser-Driven Shocks on Precompressed and Preheated Water SamplesMagnetically Driven Isentropic Compression and Flyer Plate Experiments Using a Capacitor BankIsentropic Compression Studies with High Explosive Pulsed PowerDynamic Response of Kovar to Shock and Ramp-Wave Compression

    CHAPTER XX - SPECTROSCOPY; OPTICAL AND ELECTRICAL MEASUREMENTS; AND SHOCK CHEMISTRYSingle Shot Dynamic Ellipsometry Measurements of Laser-Driven Shock WavesStudy of the Laser-Induced Decomposition of HNO3/2-Nitropropane Mixture at Static High PressureUltrafast Shock Wave Coherent Dissociation and Spectroscopy of MaterialsTime-Resolved Optical Measurements of Detonation and Combustion ProductsAnalysis of Temperature Measurement at Lead / LiF Interface under Shock Wave CompressionOptical Response of Molecular Crystals to Non-Hydrostatic Compression in a Diamond Anvil Cell ExperimentsRaman Spectroscopy of RDX Single Crystals under Static CompressionSimulating EXAFS Patterns of Shocked CrystalsLaser Ablation Analysis of Novel Perfluoroalkyl-Coated Aluminum NanocompositesSimulating Picosecond X-Ray Diffraction from Crystals Using FFT Methods on MD OutputTime-Resolved Spectroscopic Measurements of Aluminum Oxidation in a Laser Ablation EventRaman Spectroscopy of RDX Crystals Shocked along Different OrientationsT-Jump/FTIR Studies of Poly-Glycidyl Nitrate (PGN) PyrolysisTemporal Change of Raman Spectra of Carbon Tetrachloride under Laser-Driven Shock CompressionEmission Spectroscopy of Aluminum in Post-Detonation Combustion

    CHAPTER XXI - IMPACT PHENOMENA, BALLISTICS, HYPERVELOCITY STUDIES, STRUCTURES, AND EXOTIC SHOCK CONFIGURATIONSFailure and Penetration Response of Borosilicate Glass during Short-Rod ImpactModeling of Non-Eroding Penetration Using ALE3D and ZapotecNumerical Simulation of Impact Effects on Multilayer FabricsReduction of Explosion Damage Using Sand or Water LayerDetermination of Simple Constitutive Models for Borosilicate Glass Using Penetration-Velocity Data from Ballistic ExperimentsPhase Velocity Generator for a Two-Stage Implosion Driven Hypervelocity LauncherNumerical Studies on the Explosive Welding by Smoothed Particle Hydrodynamics (SPH)Detailed Comparison of Blast Effects in Air and VacuumNumerical Simulation of High Velocity Impact Phenomenon by the Distinct Element Method (DEM)Microstructures Produced by Dynamic FrictionNumerical Simulations of Fragmentation Onset Velocity of Projectile Impact on Thin Bumper

    CHAPTER XXII - LASER-DRIVEN SHOCKS AND INTERACTIONS OF LIGHT WITH MATERIALSDamaging of Materials by Bi-Dimensional Dynamic EffectsIn-Situ Probing of Lattice Response in Shock Compressed Materials Using X-Ray DiffractionProspects for Using X-Ray Free-Electron Lasers to Investigate Shock-Compressed MatterExperimental Method for Laser-Driven Flyer Plates for 1-D ShocksPhase Transitions and Metastable States in Ultrashort Laser-Metal InteractionA Geometry for Sub-Nanosecond X-Ray Diffraction from Laser-Shocked Polycrystalline FoilsA Study of Phase Explosion of Metal Using High Power Nd:YAG Laser Ablation

    CHAPTER XXIII - GEOPHYSICS AND PLANETARY PHYSICSNumerical Study of Underwater Explosions and Following Bubble PulsesShock Metamorphism of Hornblende and Plagioclase in Conditions of Step-Like Compression of Polymineral RocksDynamic Compaction of SandShock-Loading of Statically Compacted SoilEjection Mechanisms for Martian MeteoritesInvestigations into the Spall Strengths of Geological MaterialsThe Shock Hugoniot Properties of Geological Materials and Relationship to Static PropertiesDynamic Response of Submerged Solids to Extreme Fluid LoadingThe Response of Dry Limestone to Shock-LoadingSimulation of Comet Impact and Survivability of Organic CompoundsImplications of Shock Wave Experiments with Precompressed Materials for Giant Planet InteriorsVerification Test ProblemsThe Dynamic Compaction of Sand and Related Porous SystemsStrength Measurements on Dry Indiana Limestone Using Ramp Loading TechniquesNumerical Modelling of Deep Impact Experiment

    CHAPTER XXIV - SHOCK COMPRESSION STUDIESPropagation of Highly Nonlinear Signals in a Two Dimensional Network of Granular ChainsSelf-Similar Compression Flows in Spherical GeometryShear Induced Reaction Localization and Mechanisms of Energy Dissipation in PBXs Subjected to Strong Shock

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