Search Menu
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information
Search Scholarly Publications

Title: Interpreting Experimental Results from Shock Impacts on Single Crystal PETN in the Context of Continuum Models

Abstract

Here we interpret previous experimental measurements of impacts on single crystal PETN in the context of a simple continuum model. Hugoniot calculations using the simple model framework under various limiting assumptions envelope measured Hugoniot states reasonably well and suggest that non-negligible deviatoric elastic strains may exist in the shock compressed state for weak impacts. An accompanying simple kinematic model for lattice deformation was used to estimate the expected shifts in X-ray diffraction peaks for the (211) plane under impacts normal to (110) planes. The results suggest that negligible relaxation of the deviatoric lattice deformation occurs on the short (10–20 ns) time and wave propagation (40–80 m) scales of laser-driven shock experiments, and that the corresponding elastic strains may be large. Because of the potentially large deviatoric elastic strains, the specific finite deformation strain measure used within thermomechanical single crystal models is of significant consequence, which is explored numerically by the comparison of isothermal purely elastic responses under uniaxial and simple shear deformations.

Authors:
ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [1];  [1]; ORCiD logo [1]
+ Show Author Affiliations
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Publication Date:
Research Org.:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE Laboratory Directed Research and Development (LDRD) Program; USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1660595
Alternate Identifier(s):
OSTI ID: 1575965; OSTI ID: 1581277
Report Number(s):
LA-UR-19-26192; LA-UR-19-26299
Journal ID: ISSN 0721-3115
Grant/Contract Number:  
89233218CNA000001
Resource Type:
Accepted Manuscript
Journal Name:
Propellants, Explosives, Pyrotechnics
Additional Journal Information:
Journal Volume: 45; Journal Issue: 2; Journal ID: ISSN 0721-3115
Publisher:
Wiley
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; PETN; anisotropy; single crystal; continuum model; impact

Citation Formats

Luscher, Darby Jon, Cawkwell, Marc Jon, Ramos, Kyle James, Sandberg, Richard L., and Bolme, Cynthia Anne. Interpreting Experimental Results from Shock Impacts on Single Crystal PETN in the Context of Continuum Models. United States: N. p., 2019. Web. doi:10.1002/prep.201900228.
Copy to clipboard
Luscher, Darby Jon, Cawkwell, Marc Jon, Ramos, Kyle James, Sandberg, Richard L., & Bolme, Cynthia Anne. Interpreting Experimental Results from Shock Impacts on Single Crystal PETN in the Context of Continuum Models. United States. https://doi.org/10.1002/prep.201900228
Copy to clipboard
Luscher, Darby Jon, Cawkwell, Marc Jon, Ramos, Kyle James, Sandberg, Richard L., and Bolme, Cynthia Anne. Wed . "Interpreting Experimental Results from Shock Impacts on Single Crystal PETN in the Context of Continuum Models". United States. https://doi.org/10.1002/prep.201900228. https://www.osti.gov/servlets/purl/1660595.
Copy to clipboard
@article{osti_1660595,
title = {Interpreting Experimental Results from Shock Impacts on Single Crystal PETN in the Context of Continuum Models},
author = {Luscher, Darby Jon and Cawkwell, Marc Jon and Ramos, Kyle James and Sandberg, Richard L. and Bolme, Cynthia Anne},
abstractNote = {Here we interpret previous experimental measurements of impacts on single crystal PETN in the context of a simple continuum model. Hugoniot calculations using the simple model framework under various limiting assumptions envelope measured Hugoniot states reasonably well and suggest that non-negligible deviatoric elastic strains may exist in the shock compressed state for weak impacts. An accompanying simple kinematic model for lattice deformation was used to estimate the expected shifts in X-ray diffraction peaks for the (211) plane under impacts normal to (110) planes. The results suggest that negligible relaxation of the deviatoric lattice deformation occurs on the short (10–20 ns) time and wave propagation (40–80 m) scales of laser-driven shock experiments, and that the corresponding elastic strains may be large. Because of the potentially large deviatoric elastic strains, the specific finite deformation strain measure used within thermomechanical single crystal models is of significant consequence, which is explored numerically by the comparison of isothermal purely elastic responses under uniaxial and simple shear deformations.},
doi = {10.1002/prep.201900228},
journal = {Propellants, Explosives, Pyrotechnics},
number = 2,
volume = 45,
place = {United States},
year = {Wed Nov 27 00:00:00 EST 2019},
month = {Wed Nov 27 00:00:00 EST 2019}
}
Copy to clipboard
Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1002/prep.201900228
Copyright Statement
Other availability
Search WorldCat Search WorldCat to find libraries that may hold this journal
Citation Metrics:
Cited by: 2 works
Citation information provided by
Web of Science
Save / Share:
Export Metadata
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.

Works referenced in this record:

Elastic-plastic behavior of cyclotrimethylene trinitramine single crystals under spherical indentation: Modeling and simulation
journal, March 2012

  • Clayton, J. D.; Becker, R.
  • Journal of Applied Physics, Vol. 111, Issue 6
  • DOI: 10.1063/1.3695392

Effect of Impurity Clustering on Elastic Precursor Decay in LiF
journal, May 1972

  • Asay, J. R.; Gupta, Y. M.
  • Journal of Applied Physics, Vol. 43, Issue 5
  • DOI: 10.1063/1.1661478

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

Initiation and Growth of Explosion in Liquids and Solids
journal, April 1952

  • Bowden, F. P.; Yoffe, A. D.; Hudson, George E.
  • American Journal of Physics, Vol. 20, Issue 4
  • DOI: 10.1119/1.1933188

On Beyond the Standard Model for high Explosives: Challenges & Obstacles to Surmount
conference, January 2009

  • Menikoff, Ralph; Elert, Mark; Furnish, Michael D.
  • SHOCK COMPRESSION OF CONDENSED MATTER 2009: Proceedings of the American Physical Society Topical Group on Shock Compression of Condensed Matter, AIP Conference Proceedings
  • DOI: 10.1063/1.3295100

Equations of state for the α and γ polymorphs of cyclotrimethylene trinitramine
journal, May 2016

  • Cawkwell, M. J.; Luscher, D. J.; Addessio, F. L.
  • Journal of Applied Physics, Vol. 119, Issue 18
  • DOI: 10.1063/1.4948673

Analysis of wave profiles for single-crystal cyclotetramethylene tetranitramine
journal, January 2005

  • Menikoff, Ralph; Dick, J. J.; Hooks, D. E.
  • Journal of Applied Physics, Vol. 97, Issue 2
  • DOI: 10.1063/1.1828602

Shock-Induced Inelastic Deformation in Oriented Crystalline Pentaerythritol Tetranitrate
journal, November 2011

  • Eason, Reilly M.; Sewell, Thomas D.
  • The Journal of Physical Chemistry C, Vol. 116, Issue 3
  • DOI: 10.1021/jp206826d

Relationship Between RDX Properties and Sensitivity
journal, February 2008

  • Doherty, Ruth M.; Watt, Duncan S.
  • Propellants, Explosives, Pyrotechnics, Vol. 33, Issue 1
  • DOI: 10.1002/prep.200800201

Mechanical properties of β-HMX
journal, April 2015

  • Gallagher, Hugh G.; Miller, John C.; Sheen, David B.
  • Chemistry Central Journal, Vol. 9, Issue 1
  • DOI: 10.1186/s13065-015-0091-6

Effect of crystal orientation on shock initiation sensitivity of pentaerythritol tetranitrate explosive
journal, May 1984

  • Dick, J. J.
  • Applied Physics Letters, Vol. 44, Issue 9
  • DOI: 10.1063/1.94951

Direct numerical simulation of shear localization and decomposition reactions in shock-loaded HMX crystal
journal, May 2015

  • Austin, Ryan A.; Barton, Nathan R.; Reaugh, John E.
  • Journal of Applied Physics, Vol. 117, Issue 18
  • DOI: 10.1063/1.4918538

An Eulerian method for computation of multimaterial impact with ENO shock-capturing and sharp interfaces
journal, March 2003

Direct observation of plasticity and quantitative hardness measurements in single crystal cyclotrimethylene trinitramine by nanoindentation
journal, September 2009

Dislocations in energetic materials. 2. Characterization of the growth-induced dislocation structure of pentaerythritol tetranitrate (PETN)
journal, October 1984

  • Halfpenny, P. J.; Roberts, K. J.; Sherwood, J. N.
  • Journal of Applied Crystallography, Vol. 17, Issue 5
  • DOI: 10.1107/S0021889884011572

Anisotropic polyconvex energies on the basis of crystallographic motivated structural tensors
journal, December 2008

  • Schroder, J.; Neff, P.; Ebbing, V.
  • Journal of the Mechanics and Physics of Solids, Vol. 56, Issue 12
  • DOI: 10.1016/j.jmps.2008.08.008

Free Energy Based Equation of State for Pentaerythritol Tetranitrate
journal, December 2016

  • Cawkwell, M. J.; Montgomery, D. S.; Ramos, K. J.
  • The Journal of Physical Chemistry A, Vol. 121, Issue 1
  • DOI: 10.1021/acs.jpca.6b09284

A class of orthotropic and transversely isotropic hyperelastic constitutive models based on a polyconvex strain energy function
journal, July 2004

Time-resolved x-ray diffraction experiments to examine the elastic-plastic transition in shocked magnesium-doped LiF
journal, July 2008

  • Jensen, B. J.; Gupta, Y. M.
  • Journal of Applied Physics, Vol. 104, Issue 1
  • DOI: 10.1063/1.2936899

Nonlinear Eulerian thermoelasticity for anisotropic crystals
journal, October 2013

Polyconvexity of generalized polynomial-type hyperelastic strain energy functions for near-incompressibility
journal, June 2003

Dynamic elastic‐plastic properties of single‐crystal pentaerythritol tetranitrate
journal, March 1976

  • Halleck, P. M.; Wackerle, Jerry
  • Journal of Applied Physics, Vol. 47, Issue 3
  • DOI: 10.1063/1.322689

Second-order elastic constants of pentaerythritol tetranitrate and cyclotrimethylene trinitramine using impulsive stimulated thermal scattering
journal, January 2008

  • Sun, B.; Winey, J. M.; Hemmi, N.
  • Journal of Applied Physics, Vol. 104, Issue 7
  • DOI: 10.1063/1.2981044

A dislocation density-based continuum model of the anisotropic shock response of single crystal α-cyclotrimethylene trinitramine
journal, January 2017

  • Luscher, D. J.; Addessio, F. L.; Cawkwell, M. J.
  • Journal of the Mechanics and Physics of Solids, Vol. 98
  • DOI: 10.1016/j.jmps.2016.09.005

Dissociation of ⟨111⟩ dislocations on {11¯0} in pentaerythritol tetranitrate
journal, February 2019

Shock response of single crystal and nanocrystalline pentaerythritol tetranitrate: Implications to hotspot formation in energetic materials
journal, October 2013

  • Cai, Y.; Zhao, F. P.; An, Q.
  • The Journal of Chemical Physics, Vol. 139, Issue 16
  • DOI: 10.1063/1.4825400

Invariant formulation of hyperelastic transverse isotropy based on polyconvex free energy functions
journal, January 2003

Polymorphic phase transformation rates in shock‐loaded potassium chloride
journal, March 1974

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

A higher-order Lagrangian discontinuous Galerkin hydrodynamic method for solid dynamics
journal, August 2019

  • Lieberman, Evan J.; Liu, Xiaodong; Morgan, Nathaniel R.
  • Computer Methods in Applied Mechanics and Engineering, Vol. 353
  • DOI: 10.1016/j.cma.2019.05.006

Elasticity of Crystalline Molecular Explosives
journal, April 2015

  • Hooks, Daniel E.; Ramos, Kyle J.; Bolme, C. A.
  • Propellants, Explosives, Pyrotechnics, Vol. 40, Issue 3
  • DOI: 10.1002/prep.201400282

Monte Carlo calculations of the elastic moduli and pressure-volume-temperature equation of state for hexahydro-1,3,5-trinitro-1,3,5-triazine
journal, July 2000

  • Sewell, Thomas D.; Bennett, Carl M.
  • Journal of Applied Physics, Vol. 88, Issue 1
  • DOI: 10.1063/1.373628

On the impact testing of cyclotrimethylene trinitramine crystals with different internal qualities
journal, May 2008

  • Bouma, R. H. B.; Boluijt, A. G.; Verbeek, H. J.
  • Journal of Applied Physics, Vol. 103, Issue 9
  • DOI: 10.1063/1.2907409

A polyconvex model for materials with cubic symmetry
journal, June 2007

  • Kambouchev, Nayden; Fernandez, Javier; Radovitzky, Raul
  • Modelling and Simulation in Materials Science and Engineering, Vol. 15, Issue 5
  • DOI: 10.1088/0965-0393/15/5/006

Anomalous shock initiation of detonation in pentaerythritol tetranitrate crystals
journal, January 1997

  • Dick, J. J.
  • Journal of Applied Physics, Vol. 81, Issue 2
  • DOI: 10.1063/1.364201

Physicochemical Parameters of Nitramines Influencing Shock Sensitivity
journal, October 2004

  • van?der?Heijden, Antoine?E. ?D. ?M.; Bouma, Richard?H. ?B.; van?der?Steen, Albert?C.
  • Propellants, Explosives, Pyrotechnics, Vol. 29, Issue 5
  • DOI: 10.1002/prep.200400058

A single-crystal model for the high-strain rate deformation of cyclotrimethylene trinitramine including phase transformations and plastic slip
journal, May 2017

  • Addessio, F. L.; Luscher, D. J.; Cawkwell, M. J.
  • Journal of Applied Physics, Vol. 121, Issue 18
  • DOI: 10.1063/1.4983009
    Sort by:
    [ × clear filter / sort ]

    Similar Records in DOE PAGES and OSTI.GOV collections: