Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Prediction of Probabilistic Shock Initiation Thresholds of Energetic Materials Through Evolution of Thermal-Mechanical Dissipation and Reactive Heating

Journal Article · · Journal of Applied Mechanics
DOI:https://doi.org/10.1115/1.4051092· OSTI ID:1821263
 [1];  [2];  [1];  [1]
  1. Georgia Institute of Technology, Atlanta, GA (United States)
  2. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

The ignition threshold of an energetic material (EM) quantifies the macroscopic conditions for the onset of self-sustaining chemical reactions. The threshold is an important theoretical and practical measure of material attributes that relate to safety and reliability. Historically, the thresholds are measured experimentally. In this work, we present a new Lagrangian computational framework for establishing the probabilistic ignition thresholds of heterogeneous EM out of the evolutions of coupled mechanical-thermal-chemical processes using mesoscale simulations. Furthermore, the simulations explicitly account for microstructural heterogeneities, constituent properties, and interfacial processes and capture processes responsible for the development of material damage and the formation of hotspots in which chemical reactions initiate. The specific mechanisms tracked include viscoelasticity, viscoplasticity, fracture, post-fracture contact, frictional heating, heat conduction, reactive chemical heating, gaseous product generation, and convective heat transfer. To determine the ignition threshold, the minimum macroscopic loading required to achieve self-sustaining chemical reactions with a rate of reactive heat generation exceeding the rate of heat loss due to conduction and other dissipative mechanisms is determined. Probabilistic quantification of the processes and the thresholds are obtained via the use of statistically equivalent microstructure sample sets (SEMSS). The predictions are in agreement with available experimental data.

Research Organization:
Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
Sponsoring Organization:
USDOE; Defense Threat Reduction Agency (DTRA); US Air Force Office of Scientific Research (AFOSR)
Grant/Contract Number:
AC52-07NA27344
OSTI ID:
1821263
Report Number(s):
LLNL-JRNL--820786; 1032332
Journal Information:
Journal of Applied Mechanics, Journal Name: Journal of Applied Mechanics Journal Issue: 9 Vol. 88; ISSN 0021-8936
Publisher:
ASMECopyright Statement
Country of Publication:
United States
Language:
English

References (48)

Thermal Decomposition Process of HMX journal February 1980
Shock Initiation of PBX-9404 by electrically driven flyer plates journal December 1980
An Extension to the Critical Energy Criterion used to predict shock initiation thresholds journal February 1996
Relationship Between RDX Properties and Sensitivity journal February 2008
Equations of State of Binders and Related Polymers book January 2009
Parametric study of the dynamic JWL-EOS for detonation products journal January 1991
Partition of plastic work into heat and stored energy in metals journal June 2000
The Effect of Single Vacancy Defects on Graphene Nanoresonators journal January 2020
Convective combustion modeling applied to deflagration-to-detonation transition of HMX journal January 1977
Finite element simulations of shear localization in plate impact journal March 1994
Thermochemische untersuchungen an nitraminen journal July 1973
CTH: A three-dimensional shock wave physics code journal January 1990
A constitutive model for the non-shock ignition and mechanical response of high explosives journal December 1998
Thermal decomposition models for HMX-based plastic bonded explosives journal April 2004
Modeling the shock-induced multiple reactions in a random bed of metallic granules in an energetic material journal December 2019
Energy dissipation in polymer-bonded explosives with various levels of constituent plasticity and internal friction journal March 2019
Prediction of shock initiation thresholds and ignition probability of polymer-bonded explosives using mesoscale simulations journal May 2018
A micromechanical model for predicting combined damage of particles and interface debonding in PBX explosives journal January 2009
Dependence of flame propagation on pressure and pressurizing gas for an Al/CuO nanoscale thermite journal January 2009
Experimental Studies of Rod Impact on Bare/Uncovered PBX 9501 Explosive journal January 2013
Thermal Decomposition of Energetic Materials. 66. Kinetic Compensation Effects in HMX, RDX, and NTO journal November 1994
Critical Conditions for Impact- and Shock-Induced Hot Spots in Solid Explosives journal January 1996
Reactive burn models and ignition & growth concept journal January 2010
A Viscoelastic Model for PBX Binders conference January 2002
Initiation of Detonations journal May 1959
Elastic–plastic wave profiles in cyclotetramethylene tetranitramine crystals journal July 2004
Dynamic response of binders; teflon, estane™ and Kel-F-800™ journal December 2005
Finite Element Method Calculations on Statistically Consistent Microstructures of PBX 9501
  • Mas, E. M.
  • SHOCK COMPRESSION OF CONDENSED MATTER - 2005: Proceedings of the Conference of the American Physical Society Topical Group on Shock Compression of Condensed Matter, AIP Conference Proceedings https://doi.org/10.1063/1.2263366
conference January 2006
High impact deformation of metal cylinders at elevated temperatures journal May 1982
Ignition criterion for heterogeneous energetic materials based on hotspot size-temperature threshold journal February 2013
Prediction of probabilistic ignition behavior of polymer-bonded explosives from microstructural stochasticity journal May 2013
Ignition probability of polymer-bonded explosives accounting for multiple sources of material stochasticity journal May 2014
Direct numerical simulation of shear localization and decomposition reactions in shock-loaded HMX crystal journal May 2015
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
Understanding the shock and detonation response of high explosives at the continuum and meso scales journal March 2018
Quantification of probabilistic ignition thresholds of polymer-bonded explosives with microstructure defects journal October 2018
Ignition thresholds of aluminized HMX-based polymer-bonded explosives journal April 2019
WGT: A mesoscale-informed reactive burn model journal February 2020
Phenomenological model of shock initiation in heterogeneous explosives journal January 1980
Modeling and analysis of reactive compaction for granular energetic solids journal September 2003
Dynamic Measurement of the Permeability of an Explosive Undergoing Thermal Damage journal January 2004
A Lagrangian framework for analyzing microstructural level response of polymer-bonded explosives journal June 2011
Eulerian finite-element simulations of experimentally acquired HMX microstructures journal January 1999
Investigating short-pulse shock initiation in HMX-based explosives with reactive meso-scale simulations journal May 2014
Microstructural effects on the ignition behavior of HMX journal May 2014
Micromechanical Simulation of Dynamic Fracture Using the Cohesive Finite Element Method journal March 2004
LASL Explosive Property Data book December 1980
Specific heat of HMX journal November 1984