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Towards a predictive thermal explosion model for energetic materials

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Journal of Computer-Aided Materials Design

Abstract

We present an overview of models and computational strategies for simulating the thermal response of high explosives using a multi-physics hydrodynamics code, ALE3D. Recent improvements to the code have aided our computational capability in modeling the behavior of energetic materials systems exposed to strong thermal environments such as fires. We apply these models and computational techniques to a thermal explosion experiment involving the slow heating of a confined explosive. The model includes the transition from slow heating to rapid deflagration in which the time scale decreases from days to hundreds of microseconds. Thermal, mechanical, and chemical effects are modeled during all phases of this process. The heating stage involves thermal expansion and decomposition according to an Arrhenius kinetics model while a pressure-dependent burn model is employed during the explosive phase. We describe and demonstrate the numerical strategies employed to make the transition from slow to fast dynamics. In addition, we investigate the sensitivity of wall expansion rates to numerical strategies and parameters. Results from a one-dimensional model show that violence is influenced by the presence of a gap between the explosive and container. In addition, a comparison is made between 2D model and measured results for the explosion temperature and tube wall expansion profiles.

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References

  1. Mair, H.U., ‘Review: Hydrocodes for Structural Response to Underwater Explosions’, Shock and Vibration, 6, pp. 81–96, 1999.

    Article  Google Scholar 

  2. McGlaun, J.M., Yarrington, P., Asay, J.R., and Shahinpoor, M., (Eds.) High Pressure Shock Compression of Solids, Large Deformation Wave Codes, Springer-Verlag, Berlin, Germany, 1993.

    Google Scholar 

  3. Anderson, Jr., C. E., ‘An Overview of the Theory of Hydrocodes, Int. J. Impact Engineering, 5, pp. 33–59, 1987.

    Article  Google Scholar 

  4. McGlaun, J.M., Thompson, S.L., and Elrick, M.G., ‘CTH: a Three-dimensional Shock Wave Physics Code’, Int. J. Impact Engineering, 10, pp. 351–360, 1990.

    Article  Google Scholar 

  5. Mandell, D.A., Adams, T.F., Mosso, S.J., Holian, K.S., Addessio, F.L., and Baumgardner, J.R., ‘MESA: a 3-D Computer Code for Armor/Anti-Armor Applications’, Los Alamos National Laboratory, Report LA-UR-89-1263, 1989.

  6. Quirk, J.J., ‘A Parallel Adaptive Grid Algorithm for Computational Shock Hydrodynamics’, Applied Numerical Mathematics, 20, pp. 427–453, 1996.

    Article  Google Scholar 

  7. Stewart, D.S., Aslam, T., Yao, J., and Bdzil, J.B., ‘Level-set Techniques Applied to Unsteady Detonation Propagation’, in Modeling in Combustion Science, Proceedings, Springer-Verlag, Berlin, Germany, pp. 352–369, 1995.

    Chapter  Google Scholar 

  8. Bourlioux, A., and Majda, A.J., ‘Theoretical and Numerical Structure for Unstable Two-Dimensional Detonations’, Combustion and Flame, 90, pp. 211–229, 1992.

    Article  CAS  Google Scholar 

  9. Oran, E.S., Boris, J.P., Young, T., Flanigan, M., Burks, T., and Picone, M., ‘Numerical Simulations of Detonations in Hydrogen-Air and Methane-Air Mixtures’, in Proceedings of 18th Symposium on Combustion, The Combustion Institute, 1981, pp. 1641–1649.

  10. McClelland, M.A., Maienschein, J.L., Nichols, A.L., Wardell, J.F., Atwood, A.I., and Curran, P.O., ‘ALE3D Model Predictions and Materials Characterization for the Cookoff Response of PBXN-109’, in Proceedings of JANNAF 38th Combustion and 20th Propulsion Systems Hazards Subcommittee Meetings, Destin, FL, 2002.

  11. McClelland, M.A., Tran, T.D., Cunningham, B.J., Weese, R.K., and Maienschein, J.L., ‘Cookoff Response of PBXN-109: Material Characterization and ALE3D Thermal Predictions’, in Proceedings of JANNAF 50th Propulsion Meeting, Salt Lake City, UT, 2001.

  12. McClelland, M.A., Maienschein, J.L., Nichols, A.L., and Yoh, J.J., ‘Joint DoD/DOE Munitions Technology Development Program FY-02 Report, Ignition and Initiation Phenomena: Cookoff Violence Prediction’, UCRL-ID-103482-02, 2002.

  13. Wardell, J.F., and Maienschein, J.L., ‘The Scaled Thermal Explosion Experiment’, in Proceedings of 12th International Detonation Symposium, San Diego, CA, Office of Naval Research, 2002.

    Google Scholar 

  14. Nichols, A.L., Couch, R., McCallen, R.C., Otero, I., and Sharp, R., ‘Modeling Thermally Driven Energetic Response of High Explosives’, in Proceedings of 11th International Detonation Symposium, Snowmass, Colorado, pp. 862–871, 1998.

  15. Yoh, J.J., and McClelland, M.A., ‘Simulating the Thermal Response of High Explosives on Time Scales of Days to Microseconds’, in Proceedings of 13th APS SCCM Conference, Portland, Oregon, 2003.

  16. Yoh, J.J., McClelland, M.A., Maienschein, J.L., Nichols, A.L., and Wardell, J.F., ‘Towards an Ideal Cookoff Model for PBXN-109’, in Proceedings of JANNAF 21st Propulsion Systems Hazards Subcommittee Meetings, Colorado Springs, Colorado, 2003.

  17. Chidester, S.K., Tarver, C.M., Green, L.G., and Urtiew, P.A., ‘On the Violence of Thermal Explosion in Solid Explosives’, Combustion and Flame, 110, pp. 264–280, 1997.

    Article  CAS  Google Scholar 

  18. Tarver, C.M., and Tran, T.D., ‘Thermal Decomposition Models for HMX-based Plastic Bonded Explosives’, Combustion and Flame, 137, pp. 50–62, 2004.

    Article  CAS  Google Scholar 

  19. Baer, M.R., Hobbs, M.L., Gross, R.J., and Schmitt, R.G., ‘Cookoff of Energetic Materials’, in Proceedings of 11th International Detonation Symposium, Snowmass, Colorado, Office of Naval Research, pp. 852–861, 1998.

    Google Scholar 

  20. Matheson, E.R., Drumheller, D.S., and Baer, M.R., ‘A Coupled Damage and Reaction Model for Simulating Energetic Material Response to Impact Hazards’, in Proceedings of APS SCCM Conference, Snowbird, Utah, pp. 651–654, 1999.

  21. Schmitt, R.G., Erikson, W.W., Away, B., Dickson, P., Henson, B., Smilowitz, L., and Tellier, L., ‘Application of a Multiphase Mixture Theory with Coupled Damage and Reaction to the LANL Large-Scale Annular Cookoff Experiment’, in Proceedings of JANNAF 19th Propulsion Systems Hazards Subcommittee Meetings, Monterey, CA., 2000.

  22. Atwood, A.I., Curran, P. D., Lee, K.B., and Bui, D.T., ‘Experimental Progress on a Cookoff Model Validation Effort’, in Proceedings of JANNAF 38th Combustion and 20th Propulsion Systems Hazards Subcommittee Meetings, Destin, FL, 2002.

  23. Sandusky, H.W., and Chambers, G.P., ‘Validation Experiments for Slow Cookoff’, in Proceedings of JANNAF 38th Combustion and 20th Propulsion Systems Hazards Subcommittee Meetings, Destin, FL, 2002.

  24. Erikson, W.W., and Schmitt, R.G., ‘Pre- and Post-ignition Modeling of Validation Cookoff Experiments’, in Proceedings of JANNAF 38th Combustion and 20th Propulsion Systems Hazards Subcommittee Meetings, Destin, FL, 2002.

  25. Belytschko, T., ‘An Overview of Semidiscretization and Time Integration Procedures’, in Computational Methods for Transient Analysis, edited by T. Belytschko and T. J. R. Hughes, North-Holland, 1983, pp. 1–65.

  26. Sharp, R., and the ALE3D Team, Users Manual for ALE3D, Lawrence Livermore National Laboratory, Ver. 3.6.1, October 25, 2003.

  27. McGuire, R.R., and Tarver, C.M., ‘Chemical Decomposition Models for the Thermal Explosion of Confined HMX, TATB, RDX, and TNT Explosives’, in Proceedings of 7th International Detonation Symposium, Annapolis, MD, Naval Surface Weapons Center, 1981, pp. 56–64.

    Google Scholar 

  28. Steinberg, J., ‘Equation of State and Strength Properties of Selected Materials’, UCRL-MA-106439, 1991.

  29. Catalano, E., McGuire, R., Lee, E.L., Wrenn, E., Ornellas, D., and Walton, J., ‘The Thermal Decomposition and Reaction of Confined Explosives’, in Proceedings of 6th International Detonation Symposium, Coronado, CA, Office of Naval Research, pp. 214–222, 1976.

    Google Scholar 

  30. Tran, T.D., ‘A Compilation of One-Dimensional, Time-To-Explosion (ODTX) Test Data for High Explosives and Propellants’, UCRL-ID-151449, 2003.

  31. Atwood, A.I., Personal communication, NAWC-CL, 2001.

  32. Maienschein, J.L., and Wardell, J.F., ‘Deflagration Rate of PBXN-109 and Composition B at High Pressures’, in Proceedings of JANNAF 38th Combustion and 20th Propulsion Systems Hazards Subcommittee Meetings, Destin, FL, 2002.

  33. Holman, J.P., Heat Transfer, McGraw-Hill, 1976, pp. 253–254.

  34. Prior, A.M., ‘Applications of Implicit and Explicit Finite Element Techniques to Metal Forming’, J. of Material Processing Technology, 45, pp. 649–656, 1994.

    Article  Google Scholar 

  35. Meyers, M.A., Dynamic Behavior of Materials, John Wiley & Sons, Inc., New York, NY, 1994.

    Book  Google Scholar 

  36. McClelland, M.A., Maienschein, J.L., Reaugh, J.E., Tran, T.D., Nichols, A.L., and Wardell, J.F., ‘ALE3D Model Predictions and Experimental Analysis of the Cookoff Response of Comp B’, in Proceedings of JANNAF 21st Propulsion Systems Hazards Subcommittee Meetings, Colorado Springs, Colorado, 2003.

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Correspondence to Jack J. Yoh.

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Approved for public release; distribution is unlimited. The work was performed under the auspices of the U.S. Department of Energy by the University of California, Lawrence Livermore National Laboratory under Contract No. W-7405-Eng-48.

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Yoh, J.J., McClelland, M.A., Maienschein, J.L. et al. Towards a predictive thermal explosion model for energetic materials. J Computer-Aided Mater Des 10, 175–189 (2004). https://doi.org/10.1007/s10820-005-1750-z

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  • DOI: https://doi.org/10.1007/s10820-005-1750-z

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