Calibration and uncertainty quantification for Davis Equation of State models for the High Explosive PBX 9501 products

Author:

Andrews Stephen A.1ORCID,Leiding Jeffery A.2ORCID,Thrussell Jasper1ORCID,Ticknor Christopher2ORCID

Affiliation:

1. XPC-8: Verification and Analysis, Los Alamos National Laboratory P. O. Box 1663 87545 Los Alamos NM U.S.A.

2. T-1: Physics and Chemistry of Materials Los Alamos National Laboratory P. O. Box 1663 87545 Los Alamos NM U.S.A.

Abstract

AbstractThis 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.

Funder

U.S. Department of Energy

Publisher

Wiley

Reference29 articles.

1. S. A. Andrews A. M. Fraser ASME J. Verif. Validation Uncertainty Quantif.2019 4 011002-1–01102-15.

2. Shock temperature dependent rate law for plastic bonded explosives

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