There has been a significant amount of recent interest concerning the behavior of High Explosives including work on an experiment known as the Mechanically Coupled Cook Off experiment in which a confined sample of polymer bonded explosive is heated and then ignited. This paper presents a finite element simulation of that experiment and provides comparisons with the experimental results. The numerical simulation includes elastic-plastic behavior of the confinement, thermal expansion effects, the mechanical and thermal response of the explosive, and a discrete crack propagation model. The results of the numerical simulation show that the general features of the experiment are reproduced.

1.
McGuire, R. R., and Tarver, C. M., 1981, “Chemical Decomposition Models for the Thermal Explosion of Confined HMX, TTB, RDX, and TNT Explosives,” Proceedings, 7th International Symposium on Detonation, Naval Surface Weapons Center, White Oak, MD, pp. 56–64.
2.
Dienes, J. K., 1984, “A Unified Theory of Flow, Hot-spots, and Fragmentation with an Application to Explosive Sensitivity,” High Pressure Shock Compression of Solids II: Dynamic Fracture and Fragmentation, L. Davison et al., eds., Springer, New York, pp. 366–398.
3.
Field
,
J. E.
,
Bourne
,
N. K.
,
Palmer
,
S. J. P.
, and
Walley
,
S. M.
,
1992
, “
Hot-Spot Ignition Mechanisms for Explosives and Propellants
,”
Philos. Trans. R. Soc. London, Ser. A
,
339
, pp.
269
83
.
4.
Howe, P. M., Gibbons, G., Jr., and Webber, P. E., 1985, “An Experimental Investigation of the Role of Shear in Initiation of Detonation by Impact,” Proceedings, 8th International Symposium on Detonation, Naval Surface Weapons Center, White Oak, MD, pp. 294–306.
5.
Gray, G. T., Idar, D. J., Blumenthal, W. R., Cady, C. M., and Peterson, P. D., 1998, “High and Low Strain Rate Compression Properties of Several Energetic Material Composites as a Function of Strain Rate and Temperature,” To appear: Proceedings, 11th International Symposium on Detonation, Office of Naval Research, Washington, D.C.
6.
Dickson, P. M., Asay, B. W., Henson, B. F., and Fugard, C. S., 1998, “Observation of the Behavior of Confined PBX 9501 following a Simulated Cookoff Ignition,” To appear: Proceedings, 11th International Symposium on Detonation, Office of Naval Research, Washington, D.C.
7.
Hackett, R. M., and Bennett, J. G., 1999, “An Implicit Finite Element Material Model for Energetic Particulate Composite Materials,” Technical Report, LA-UR-99-3139, Los Alamos National Laboratory, Los Alamos, NM.
8.
Gerken, J. M., 1998, “An Implicit Finite Element Method for Discrete Dynamic Fracture,” MS thesis, Colorado State University, Fort Collins, CO.
9.
Liu, C., Stout, M. G., and Asay, B. W., 1999, “Stress Bridging in a High Explosive Simulant Material,” Technical Report, LA-UR-99-3949, Los Alamos National Laboratory, Los Alamos, New Mexico.
10.
Tarver, C. M., McGuire, R. R., Lee, E. L., Wrenn, E. W., and Brien, K. R., 1978, “The Thermal Decomposition of Explosives with Full Containment in One-Dimensional Geometries,” Proceedings, 17th International Symposium on Combustion, Combustion Institute, Pittsburgh, PA, pp. 1407–1413.
11.
Ward, M. J., Son, S. F., and Brewster, M. Q., 1997, “Steady Deflagration of HMX with Simple Kinetics: A New Modeling Paradigm,” Technical Report, AIAA 97-0950, 35th AIAA Aerospace Sciences Meeting & Exhibit.
12.
Hu
,
H. C.
,
1955
, “
On Some Variational Principles in the Theory of Elasticity and the Theory of Plasticity
,”
Sci. Sin.
,
4
, pp.
33
54
.
13.
Xu
,
X. P.
, and
Needleman
,
A.
,
1994
, “
Numerical Simulations of Fast Crack Growth in Brittle Solids
,”
J. Mech. Phys. Solids
,
42
, pp.
1397
1434
.
14.
Liaw
,
B. M.
,
Kobayashi
,
A. S.
, and
Emery
,
A. F.
,
1984
, “
Double Noding Technique for Mixed Mode Crack Propagation Studies
,”
Int. J. Numer. Methods Eng.
,
20
, pp.
967
977
.
15.
Goodman, R. E., Taylor, R. L., and Brekke, T. L., 1968, “A Model for the Mechanics of Jointed Rock,”Proceedings of the ASCE: Journal of the Soil Mechanics and Foundations Division, Vol. 98, pp. 637–659.
16.
Bennett
,
J. G.
,
Haberman
,
K. S.
,
Johnson
,
J. N.
,
Asay
,
B. W.
, and
Henson
,
B. F.
,
1998
, “
A Constitutive Model for the Non-Shock Ignition and Mechanical Response of High Explosives
,”
J. Mech. Phys. Solids
,
46
, pp.
2303
22
.
17.
Liu, C. Private Communication.
18.
Asay
,
B. W.
,
Funk
,
D. J.
,
Henson
,
B. F.
, and
Laabs
,
G. W.
,
1997
, “
Speckle Photography During Dynamic Impact of an Energetic Material Using Laser Induced Fluorescence
,”
J. Appl. Phys.
,
82
, pp.
1093
99
.
You do not currently have access to this content.