Experimental Mechanics

, Volume 21, Issue 3, pp 111–116 | Cite as

Constitutive modeling of plastic-bonded explosives

Two analytical models are developed for high-explosive materials and the predictions of these models are compared with experimental results
  • R. L. Peeters
  • R. M. Hackett
Article
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Revised:

Abstract

Typically, elastic and elastic-plastic theory are used in structural-analysis computer programs to model the mechanical behavior of high explosives; these models, however, do not fit the observed behavior of plastic-bonded explosives. This paper discusses the development of an equation-of-state creep model and a linear viscoelastic model for the analysis of these material systems and shows comparisons between experimental results and analytical-model predictions.

Keywords

Mechanical Engineer Explosive Fluid Dynamics Computer Program Mechanical Behavior 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Symbols

a0 througha6

material parameters

c

subscript referring to uniaxial creep

F,R,G

derived constants

g0,g1,g2

functions of stress at constant temperature

J

creep compliance, 1/MPa

t

time, h

aσ

shift factor

s, τ

generic times

α, β

rate-dependent coefficients

δ1 through δs

prony-series time constants

ε

strain

ξσ,\(\xi _\sigma ^\prime\)

reduced time, h

σ

stress, MPa

ϱ, ϱ1 through ϱ6

prony-series coefficients

ϕ

creep function, MPa

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References

  1. 1.
    Peeters, R.L. and Francis, E.C., “PBX 9501 Mechanical Properties,” 16th JANNAF Structures and Mechanical Behavior Subcommittee, CPIA Publication 311,I (Mar. 1980).Google Scholar
  2. 2.
    Haisler, W.E. andSanders, D.R., “Elastic-Plastic-Creep-Large Strain Analysis at Elevated Temperature by the Finite Element Method,”Computers and Structures,10 (2),375–381 (Apr. 1979).Google Scholar
  3. 3.
    Bathe, K.J., “A Finite Element Program for Automatic Dynamic Incremental Nonlinear Analysis,” Report 82448-1, Acoustics and Vibration Laboratory, Mechanical Engineering Department, Massachusetts Institute of Technology (Rev. May 1977).Google Scholar
  4. 4.
    Findley, W.N., Lai, J.S. and Onaran, K., “Creep and Relaxation of Nonlinear Viscoelastic Materials,” North-Holland Publishing Company (1976).Google Scholar
  5. 5.
    Schapery, R.A., “On the Characterization of Nonlinear Viscoelastic Materials,”Polymer Engineering and Science,9 (4),295–310 (Jul. 1969).Google Scholar
  6. 6.
    Hackett, R.M., Peeters, R.L. and Oakes, W.R., “Developmental Studies of Constitutive Models for Plastic-Bonded Explosives,” Los Alamos Scientific Laboratory report LA-8204-MS (June 1980).Google Scholar

Copyright information

© Society for Experimental Mechanics, Inc. 1981

Authors and Affiliations

  • R. L. Peeters
    • 1
  • R. M. Hackett
    • 2
  1. 1.Fusing Engineering SectionXerox CorporationWebster
  2. 2.U.S. Army Missile LaboratoryRedstone Arsenal

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