Stephen A. Andrews, Jeffery A. Leiding, Jasper Thrussell, Christopher Ticknor
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Calibration and uncertainty quantification for Davis Equation of State models for the High Explosive PBX 9501 products
This paper investigates the uncertainty in the parameters used in the calibration of an Davis Equation Of State (EOS) for the detonation products of the High Explosive PBX 9501. The procedure sought to make use of all available information about this HE to inform the best set of calibration parameters as well as the uncertainty in these parameters. The procedure made use of historical experimental data, the results from thermo-chemical modeling as well as data on the best isentrope function fit to cylinder test experimental data. Combining all these heterogeneous data sources together in a Bayesian calibration, yielded a posterior mean and covariance. Sampling from the posterior distribution and evaluating an important Quantity Of Interest (QOI) in the EOS model, the detonation speed of a one-inch rate stick, produced a distribution which showed variations which were in agreement with experiments. The uncertainty in the EOS was reported as eleven sets of model calibrations which spanned the range of this QOI.
期刊介绍:
Propellants, Explosives, Pyrotechnics (PEP) is an international, peer-reviewed journal containing Full Papers, Short Communications, critical Reviews, as well as details of forthcoming meetings and book reviews concerned with the research, development and production in relation to propellants, explosives, and pyrotechnics for all applications. Being the official journal of the International Pyrotechnics Society, PEP is a vital medium and the state-of-the-art forum for the exchange of science and technology in energetic materials. PEP is published 12 times a year.
PEP is devoted to advancing the science, technology and engineering elements in the storage and manipulation of chemical energy, specifically in propellants, explosives and pyrotechnics. Articles should provide scientific context, articulate impact, and be generally applicable to the energetic materials and wider scientific community. PEP is not a defense journal and does not feature the weaponization of materials and related systems or include information that would aid in the development or utilization of improvised explosive systems, e.g., synthesis routes to terrorist explosives.