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Title: Direct numerical simulation of shear localization and decomposition reactions in shock-loaded HMX crystal

Abstract

A numerical model is developed to study the shock wave ignition of HMX crystal. The model accounts for the coupling between crystal thermal/mechanical responses and chemical reactions that are driven by the temperature field. This allows for the direct numerical simulation of decomposition reactions in the hot spots formed by shock/impact loading. The model is used to simulate intragranular pore collapse under shock wave loading. In a reference case: (i) shear-enabled micro-jetting is responsible for a modest extent of reaction in the pore collapse region, and (ii) shear banding is found to be an important mode of localization. The shear bands, which are filled with molten HMX, grow out of the pore collapse region and serve as potential ignition sites. The model predictions of shear banding and reactivity are found to be quite sensitive to the respective flow strengths of the solid and liquid phases. In this regard, it is shown that reasonable assumptions of liquid-HMX viscosity can lead to chemical reactions within the shear bands on a nanosecond time scale.

Authors:
 [1];  [1]; ORCiD logo [1];  [1]
  1. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Publication Date:
Research Org.:
Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1249129
Alternate Identifier(s):
OSTI ID: 1228228
Report Number(s):
LLNL-JRNL-664305
Journal ID: ISSN 0021-8979; JAPIAU
Grant/Contract Number:  
AC52-07NA27344
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Applied Physics
Additional Journal Information:
Journal Volume: 117; Journal Issue: 18; Journal ID: ISSN 0021-8979
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; 37 INORGANIC, ORGANIC, PHYSICAL AND ANALYTICAL CHEMISTRY

Citation Formats

Austin, Ryan A., Barton, Nathan R., Reaugh, John E., and Fried, Laurence E. Direct numerical simulation of shear localization and decomposition reactions in shock-loaded HMX crystal. United States: N. p., 2015. Web. doi:10.1063/1.4918538.
Austin, Ryan A., Barton, Nathan R., Reaugh, John E., & Fried, Laurence E. Direct numerical simulation of shear localization and decomposition reactions in shock-loaded HMX crystal. United States. https://doi.org/10.1063/1.4918538
Austin, Ryan A., Barton, Nathan R., Reaugh, John E., and Fried, Laurence E. Thu . "Direct numerical simulation of shear localization and decomposition reactions in shock-loaded HMX crystal". United States. https://doi.org/10.1063/1.4918538. https://www.osti.gov/servlets/purl/1249129.
@article{osti_1249129,
title = {Direct numerical simulation of shear localization and decomposition reactions in shock-loaded HMX crystal},
author = {Austin, Ryan A. and Barton, Nathan R. and Reaugh, John E. and Fried, Laurence E.},
abstractNote = {A numerical model is developed to study the shock wave ignition of HMX crystal. The model accounts for the coupling between crystal thermal/mechanical responses and chemical reactions that are driven by the temperature field. This allows for the direct numerical simulation of decomposition reactions in the hot spots formed by shock/impact loading. The model is used to simulate intragranular pore collapse under shock wave loading. In a reference case: (i) shear-enabled micro-jetting is responsible for a modest extent of reaction in the pore collapse region, and (ii) shear banding is found to be an important mode of localization. The shear bands, which are filled with molten HMX, grow out of the pore collapse region and serve as potential ignition sites. The model predictions of shear banding and reactivity are found to be quite sensitive to the respective flow strengths of the solid and liquid phases. In this regard, it is shown that reasonable assumptions of liquid-HMX viscosity can lead to chemical reactions within the shear bands on a nanosecond time scale.},
doi = {10.1063/1.4918538},
journal = {Journal of Applied Physics},
number = 18,
volume = 117,
place = {United States},
year = {Thu May 14 00:00:00 EDT 2015},
month = {Thu May 14 00:00:00 EDT 2015}
}

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Works referenced in this record:

Modeling heterogeneous energetic materials at the mesoscale
journal, February 2002


Anisotropic material model and wave propagation simulations for shocked pentaerythritol tetranitrate single crystals
journal, May 2010

  • Winey, J. M.; Gupta, Y. M.
  • Journal of Applied Physics, Vol. 107, Issue 10
  • DOI: 10.1063/1.3369161

Phenomenological model of shock initiation in heterogeneous explosives
journal, January 1980

  • Lee, E. L.; Tarver, C. M.
  • Physics of Fluids, Vol. 23, Issue 12
  • DOI: 10.1063/1.862940

Nonlinear anisotropic description for the thermomechanical response of shocked single crystals: Inelastic deformation
journal, January 2006

  • Winey, J. M.; Gupta, Y. M.
  • Journal of Applied Physics, Vol. 99, Issue 2
  • DOI: 10.1063/1.2161414

THERMAL INITIATION OF EXPLOSIVES 1
journal, December 1962

  • Zinn, John; Rogers, R. N.
  • The Journal of Physical Chemistry, Vol. 66, Issue 12
  • DOI: 10.1021/j100818a069

Elastic–plastic wave profiles in cyclotetramethylene tetranitramine crystals
journal, July 2004

  • Dick, J. J.; Hooks, D. E.; Menikoff, R.
  • Journal of Applied Physics, Vol. 96, Issue 1
  • DOI: 10.1063/1.1757026

Investigating short-pulse shock initiation in HMX-based explosives with reactive meso-scale simulations
journal, May 2014


Shock Initiation of Solid Explosives
journal, January 1961

  • Campbell, A. W.; Davis, W. C.; Ramsay, J. B.
  • Physics of Fluids, Vol. 4, Issue 4
  • DOI: 10.1063/1.1706354

Errors When Shock Waves Interact Due to Numerical Shock Width
journal, September 1994

  • Menikoff, Ralph
  • SIAM Journal on Scientific Computing, Vol. 15, Issue 5
  • DOI: 10.1137/0915075

Crack dynamics via Lagrange's equations and generalized coordinates
journal, March 2001


Reactive atomistic simulations of shock-induced initiation processes in mixtures of ammonium nitrate and fuel oil
journal, May 2014


Lattice softening and failure in severely deformed molecular crystals
journal, May 2001

  • Coffey, C. S.; Sharma, J.
  • Journal of Applied Physics, Vol. 89, Issue 9
  • DOI: 10.1063/1.1358319

Modeling pore collapse and chemical reactions in shock-loaded HMX crystals
journal, May 2014


Ignition Chemistry in HMX from Thermal Explosion to Detonation
conference, January 2002

  • Henson, Bryan F.
  • Shock Compression of Condensed Matter - 2001: 12th APS Topical Conference, AIP Conference Proceedings
  • DOI: 10.1063/1.1483723

Constituent properties of HMX needed for mesoscale simulations
journal, March 2002


Plane wave simulation of elastic-viscoplastic single crystals
journal, September 2014

  • Lloyd, J. T.; Clayton, J. D.; Austin, R. A.
  • Journal of the Mechanics and Physics of Solids, Vol. 69
  • DOI: 10.1016/j.jmps.2014.04.009

An accurate equation of state for the exponential-6 fluid applied to dense supercritical nitrogen
journal, November 1998

  • Fried, Laurence E.; Howard, W. Michael
  • The Journal of Chemical Physics, Vol. 109, Issue 17
  • DOI: 10.1063/1.476520

Ignition probability of polymer-bonded explosives accounting for multiple sources of material stochasticity
journal, May 2014

  • Kim, S.; Barua, A.; Horie, Y.
  • Journal of Applied Physics, Vol. 115, Issue 17
  • DOI: 10.1063/1.4874915

Irreversible thermodynamics of flow in solids
journal, August 1980


Simulating thermal explosion of octahydrotetranitrotetrazine-based explosives: Model comparison with experiment
journal, October 2006

  • Yoh, Jack J.; McClelland, Matthew A.; Maienschein, Jon L.
  • Journal of Applied Physics, Vol. 100, Issue 7
  • DOI: 10.1063/1.2357418

Hot spot ignition mechanisms for explosives
journal, November 1992


Errors for calculations of strong shocks using an artificial viscosity and an artificial heat flux
journal, September 1987


Thermal expansion, transitions, sensitivities and burning rates of HMX
journal, July 1992

  • Herrmann, Michael; Engel, Walter; Eisenreich, Norbert
  • Propellants, Explosives, Pyrotechnics, Vol. 17, Issue 4
  • DOI: 10.1002/prep.19920170409

DPDE-based mesoscale simulations of shock response of HE composites
journal, May 2014


Analysis of shock compression of strong single crystals with logarithmic thermoelastic-plastic theory
journal, June 2014


The crystal structure of α-HMX and a refinement of the structure of β-HMX
journal, July 1963


An LX-10 Kinetic Model Calibrated Using Simulations of Multiple Small-Scale Thermal Safety Tests
journal, September 2008

  • Wemhoff, Aaron P.; Howard, William M.; Burnham, Alan K.
  • The Journal of Physical Chemistry A, Vol. 112, Issue 38
  • DOI: 10.1021/jp804190r

Coarse-Grain Model Simulations of Nonequilibrium Dynamics in Heterogeneous Materials
journal, June 2014

  • Brennan, John K.; Lísal, Martin; Moore, Joshua D.
  • The Journal of Physical Chemistry Letters, Vol. 5, Issue 12
  • DOI: 10.1021/jz500756s

Explicit Gibbs free energy equation of state applied to the carbon phase diagram
journal, April 2000


Thermal decomposition models for HMX-based plastic bonded explosives
journal, April 2004


On reactive shear bands
journal, November 1986


Ignition Mechanisms of Explosives during Mechanical Deformation
journal, July 1982

  • Field, J. E.; Swallowe, G. M.; Heavens, S. N.
  • Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 382, Issue 1782
  • DOI: 10.1098/rspa.1982.0099

Shock-induced hotspot formation and chemical reaction initiation in PETN containing a spherical void
journal, May 2014


Computational methods in Lagrangian and Eulerian hydrocodes
journal, September 1992


A study of the crystal structure of β-cyclotetramethylene tetranitramine by neutron diffraction
journal, September 1970

  • Choi, C. S.; Boutin, H. P.
  • Acta Crystallographica Section B Structural Crystallography and Crystal Chemistry, Vol. 26, Issue 9
  • DOI: 10.1107/S0567740870003941

Eulerian finite-element simulations of experimentally acquired HMX microstructures
journal, January 1999

  • Benson, David J.; Conley, Paul
  • Modelling and Simulation in Materials Science and Engineering, Vol. 7, Issue 3
  • DOI: 10.1088/0965-0393/7/3/304

A molecular dynamics simulation study of elastic properties of HMX
journal, October 2003

  • Sewell, Thomas D.; Menikoff, Ralph; Bedrov, Dmitry
  • The Journal of Chemical Physics, Vol. 119, Issue 14
  • DOI: 10.1063/1.1599273

Atomic-level view of inelastic deformation in a shock loaded molecular crystal
journal, August 2007


Dynamic pore collapse in viscoplastic materials
journal, August 1993

  • Tong, W.; Ravichandran, G.
  • Journal of Applied Physics, Vol. 74, Issue 4
  • DOI: 10.1063/1.354678

Nanofractography of shocked RDX explosive crystals with atomic force microscopy
journal, January 2001

  • Sharma, J.; Armstrong, R. W.; Elban, W. L.
  • Applied Physics Letters, Vol. 78, Issue 4
  • DOI: 10.1063/1.1342046

Pressure-Dependent Decomposition Kinetics of the Energetic Material HMX up to 3.6 GPa
journal, December 2009

  • Glascoe, Elizabeth A.; Zaug, Joseph M.; Burnham, Alan K.
  • The Journal of Physical Chemistry A, Vol. 113, Issue 48
  • DOI: 10.1021/jp905276k

Temperature-dependent shear viscosity coefficient of octahydro-1,3,5,7-tetranitro-1,3,5,7-tetrazocine (HMX): A molecular dynamics simulation study
journal, April 2000

  • Bedrov, Dmitry; Smith, Grant D.; Sewell, Thomas D.
  • The Journal of Chemical Physics, Vol. 112, Issue 16
  • DOI: 10.1063/1.481285

Energy localization in HMX-Estane polymer-bonded explosives during impact loading
journal, March 2012

  • Barua, A.; Horie, Y.; Zhou, M.
  • Journal of Applied Physics, Vol. 111, Issue 5
  • DOI: 10.1063/1.3688350

A model for finite-deformation nonlinear thermomechanical response of single crystal copper under shock conditions
journal, September 2013

  • Luscher, Darby J.; Bronkhorst, Curt A.; Alleman, Coleman N.
  • Journal of the Mechanics and Physics of Solids, Vol. 61, Issue 9
  • DOI: 10.1016/j.jmps.2013.05.002

Defect evolution and pore collapse in crystalline energetic materials
journal, February 2009

  • Barton, Nathan R.; Winter, Nicholas W.; Reaugh, John E.
  • Modelling and Simulation in Materials Science and Engineering, Vol. 17, Issue 3
  • DOI: 10.1088/0965-0393/17/3/035003

Critical Conditions for Impact- and Shock-Induced Hot Spots in Solid Explosives
journal, January 1996

  • Tarver, Craig M.; Chidester, Steven K.; Nichols, Albert L.
  • The Journal of Physical Chemistry, Vol. 100, Issue 14
  • DOI: 10.1021/jp953123s

A method to calculate the thermal conductivity of HMX under high pressure
journal, December 2011


Effects of crystal plasticity on materials loaded at high pressures and strain rates
journal, November 2004


Works referencing / citing this record:

Prediction of Probabilistic Detonation Threshold via Millimeter‐Scale Microstructure‐Explicit and Void‐Explicit Simulations
journal, November 2019

  • Miller, Christopher; Kittell, David; Yarrington, Cole
  • Propellants, Explosives, Pyrotechnics, Vol. 45, Issue 2
  • DOI: 10.1002/prep.201900214

Toward a Predictive Hierarchical Multiscale Modeling Approach for Energetic Materials
book, February 2019

  • Barnes, Brian C.; Brennan, John K.; Byrd, Edward F. C.
  • Computational Approaches for Chemistry Under Extreme Conditions
  • DOI: 10.1007/978-3-030-05600-1_10

Modeling resistive switching materials and devices across scales
journal, June 2017

  • Ambrogio, Stefano; Magyari-Köpe, Blanka; Onofrio, Nicolas
  • Journal of Electroceramics, Vol. 39, Issue 1-4
  • DOI: 10.1007/s10832-017-0093-y

Molecular Dynamics Simulations of the Collapse of a Cylindrical Pore in the Energetic Material α-RDX
journal, November 2015

  • Eason, Reilly M.; Sewell, Thomas D.
  • Journal of Dynamic Behavior of Materials, Vol. 1, Issue 4
  • DOI: 10.1007/s40870-015-0037-z

High dynamic range emission measurements of shocked energetic materials: Octahydro-1,3,5,7-tetranitro-1,3,5,7-tetrazocine (HMX)
journal, June 2016

  • Bassett, Will P.; Dlott, Dana D.
  • Journal of Applied Physics, Vol. 119, Issue 22
  • DOI: 10.1063/1.4953353

Computational prediction of probabilistic ignition threshold of pressed granular octahydro-1,3,5,7-tetranitro-1,2,3,5-tetrazocine (HMX) under shock loading
journal, September 2016

  • Kim, Seokpum; Miller, Christopher; Horie, Yasuyuki
  • Journal of Applied Physics, Vol. 120, Issue 11
  • DOI: 10.1063/1.4962211

Multichannel emission spectrometer for high dynamic range optical pyrometry of shock-driven materials
journal, October 2016

  • Bassett, Will P.; Dlott, Dana D.
  • Review of Scientific Instruments, Vol. 87, Issue 10
  • DOI: 10.1063/1.4964386

Understanding the shock and detonation response of high explosives at the continuum and meso scales
journal, March 2018

  • Handley, C. A.; Lambourn, B. D.; Whitworth, N. J.
  • Applied Physics Reviews, Vol. 5, Issue 1
  • DOI: 10.1063/1.5005997

Dynamic fracture and hot-spot modeling in energetic composites
journal, February 2018

  • Grilli, Nicolò; Duarte, Camilo A.; Koslowski, Marisol
  • Journal of Applied Physics, Vol. 123, Issue 6
  • DOI: 10.1063/1.5009297

Shock temperature dependent rate law for plastic bonded explosives
journal, April 2018

  • Aslam, Tariq D.
  • Journal of Applied Physics, Vol. 123, Issue 14
  • DOI: 10.1063/1.5020172

Ultrafast dynamic response of single-crystal β -HMX (octahydro-1,3,5,7-tetranitro-1,3,5,7-tetrazocine)
journal, May 2018

  • Zaug, Joseph M.; Austin, Ryan A.; Armstrong, Michael R.
  • Journal of Applied Physics, Vol. 123, Issue 20
  • DOI: 10.1063/1.5029923

Effect of initial damage variability on hot-spot nucleation in energetic materials
journal, July 2018

  • Duarte, Camilo A.; Grilli, Nicolò; Koslowski, Marisol
  • Journal of Applied Physics, Vol. 124, Issue 2
  • DOI: 10.1063/1.5030656

Quantification of probabilistic ignition thresholds of polymer-bonded explosives with microstructure defects
journal, October 2018

  • Wei, Yaochi; Kim, Seokpum; Horie, Yasuyuki
  • Journal of Applied Physics, Vol. 124, Issue 16
  • DOI: 10.1063/1.5031845

Theoretical study of the defect evolution for molecular crystal under shock loading
journal, February 2019

  • Long, Yao; Chen, Jun
  • Journal of Applied Physics, Vol. 125, Issue 6
  • DOI: 10.1063/1.5067284

Non-Schmid effect of pressure on plastic deformation in molecular crystal HMX
journal, June 2019

  • Pal, Anirban; Picu, Catalin R.
  • Journal of Applied Physics, Vol. 125, Issue 21
  • DOI: 10.1063/1.5092285

Effects of parametric uncertainty on multi-scale model predictions of shock response of a pressed energetic material
journal, June 2019

  • Lee, Sangyup; Sen, Oishik; Rai, Nirmal Kumar
  • Journal of Applied Physics, Vol. 125, Issue 23
  • DOI: 10.1063/1.5098955

Microstructural heterogeneity drives reaction initiation in granular materials
journal, June 2019

  • Bakarji, Joseph; Tartakovsky, Daniel M.
  • Applied Physics Letters, Vol. 114, Issue 25
  • DOI: 10.1063/1.5108902

The effect of crystal anisotropy and plastic response on the dynamic fracture of energetic materials
journal, October 2019

  • Grilli, Nicolò; Koslowski, Marisol
  • Journal of Applied Physics, Vol. 126, Issue 15
  • DOI: 10.1063/1.5109761

Predicted melt curve and liquid-state transport properties of TATB from molecular dynamics simulations
journal, January 2018


A molecular dynamics simulation study of thermal conductivity anisotropy in β -octahydro-1,3,5,7-tetranitro-1,3,5,7-tetrazocine ( β -HMX)
journal, January 2020

  • Chitsazi, Rezvan; Kroonblawd, Matthew P.; Pereverzev, Andrey
  • Modelling and Simulation in Materials Science and Engineering, Vol. 28, Issue 2
  • DOI: 10.1088/1361-651x/ab62e3

A boundary layer analysis for the initiation of reactive shear bands
journal, June 2019

  • Timms, Robert; Purvis, Richard
  • Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 475, Issue 2226
  • DOI: 10.1098/rspa.2018.0899

Multiscale Modeling of Shock Wave Localization in Porous Energetic Material
text, January 2017


Predicted melt curve and liquid-state transport properties of TATB from molecular dynamics simulations
text, January 2018