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.
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Abbreviations
- a 0 througha 6 :
-
material parameters
- c :
-
subscript referring to uniaxial creep
- F,R,G :
-
derived constants
- g 0,g 1,g 2 :
-
functions of stress at constant temperature
- J :
-
creep compliance, 1/MPa
- t :
-
time, h
- a σ :
-
shift factor
- s, τ:
-
generic times
- α, β:
-
rate-dependent coefficients
- δ 1 through δ s :
-
prony-series time constants
- ε:
-
strain
- ξσ,\(\xi _\sigma ^\prime\) :
-
reduced time, h
- σ:
-
stress, MPa
- ϱ, ϱ 1 through ϱ 6 :
-
prony-series coefficients
- ϕ:
-
creep function, MPa
References
Peeters, R.L. and Francis, E.C., “PBX 9501 Mechanical Properties,” 16th JANNAF Structures and Mechanical Behavior Subcommittee, CPIA Publication 311,I (Mar. 1980).
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).
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).
Findley, W.N., Lai, J.S. and Onaran, K., “Creep and Relaxation of Nonlinear Viscoelastic Materials,” North-Holland Publishing Company (1976).
Schapery, R.A., “On the Characterization of Nonlinear Viscoelastic Materials,”Polymer Engineering and Science,9 (4),295–310 (Jul. 1969).
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).
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Authors and Affiliations
Additional information
R.L. Peeters (SESA Member) was a Staff Member Los Alamos Scientific Laboratory
R.M. Hackett was a Visiting Staff Member, Los Alamos Scientific Laboratory
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Peeters, R.L., Hackett, R.M. Constitutive modeling of plastic-bonded explosives. Experimental Mechanics 21, 111–116 (1981). https://doi.org/10.1007/BF02326367
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DOI: https://doi.org/10.1007/BF02326367