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Title: Estimating Material Properties Under Extreme Conditions by Using Bayesian Model Calibration with Functional Outputs

Journal Article · · Journal of the Royal Statistical Society, Series C: Applied Statistics
DOI:https://doi.org/10.1111/rssc.12273· OSTI ID:1958638
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Summary Dynamic material properties experiments provide access to the most extreme temperatures and pressures attainable in a laboratory setting; the data from these experiments are often used to improve our understanding of material models at these extreme conditions. We apply Bayesian model calibration to dynamic material property applications where the experimental output is a function: velocity over time. This framework can accommodate more uncertainties and facilitate analysis of new types of experiments relative to techniques traditionally used to analyse dynamic material experiments. However, implementation of Bayesian model calibration requires more sophisticated statistical techniques, because of the functional nature of the output as well as parameter and model discrepancy identifiability. We propose a novel Bayesian model calibration process to simplify and improve the estimation of the material property calibration parameters. Specifically, we propose scaling the likelihood function by an effective sample size rather than modelling the auto-correlation function to accommodate the functional output. Additionally, we propose sensitivity analyses by using the notion of 'modularization' to assess the effect of experiment-specific nuisance input parameters on estimates of the physical parameters. The Bayesian model calibration framework proposed is applied to dynamic compression of tantalum to extreme pressures, and we conclude that the procedure results in simple, fast and valid inferences on the material properties for tantalum.

Research Organization:
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
NA0003525; DE‐NA0003525; AC04-94AL85000
OSTI ID:
1958638
Alternate ID(s):
OSTI ID: 1429511; OSTI ID: 1482731
Report Number(s):
SAND-2017-1837J
Journal Information:
Journal of the Royal Statistical Society, Series C: Applied Statistics, Journal Name: Journal of the Royal Statistical Society, Series C: Applied Statistics Vol. 67 Journal Issue: 4; ISSN 0035-9254
Publisher:
Oxford University PressCopyright Statement
Country of Publication:
United Kingdom
Language:
English
Citation Metrics:
Cited by: 21 works
Citation information provided by
Web of Science

References (38)

Laser-Driven Plasma Loader for Shockless Compression and Acceleration of Samples in the Solid State journal February 2004
Practical identifiability analysis of large environmental simulation models journal April 2001
Fast Sequential Computer Model Calibration of Large Nonstationary Spatial-Temporal Processes journal May 2013
Model Feedback in Bayesian Propensity Score Estimation: Bayesian Propensity Scores journal February 2013
Flow strength of tantalum under ramp compression to 250 GPa journal January 2014
Equations of state of six metals above 94 GPa journal September 2004
An Efficient Stochastic Bayesian Approach to Optimal Parameter and Uncertainty Estimation for Climate Model Predictions journal July 2004
Taylor instability in solids journal February 1974
Bayesian Error Propagation for a Kinetic Model of n -Propylbenzene Oxidation in a Shock Tube : BAYESIAN ERROR PROPAGATION FOR A KINETIC MODEL OF journal April 2014
On measuring the strength of metals at ultrahigh strain rates journal September 2009
Laser interferometer for measuring high velocities of any reflecting surface journal November 1972
Learning about physical parameters: the importance of model discrepancy journal October 2014
Fundamental issues in the representation and propagation of uncertain equation of state information in shock hydrodynamics journal August 2013
Universal features of the equation of state of solids journal March 1989
Bayesian calibration of computer models journal August 2001
Computer model validation with functional output journal October 2007
Cuts in Bayesian graphical models journal November 2014
A preposterior analysis to predict identifiability in the experimental calibration of computer models journal July 2015
Shock Compression of Deuterium and the Interiors of Jupiter and Saturn journal July 2004
A Framework for Validation of Computer Models journal May 2007
Calibration and Uncertainty Analysis for Computer Simulations with Multivariate Output journal May 2008
Models of the Earth's Core journal November 1981
Analysis of shockless dynamic compression data on solids to multi-megabar pressures: Application to tantalum journal November 2014
Foundations of VISAR analysis. report June 2006
DRAM: Efficient adaptive MCMC journal December 2006
Statistical Considerations in the Evaluation of Climatic Experiments with Atmospheric General Circulation Models journal August 1977
Probing off-Hugoniot states in Ta, Cu, and Al to 1000 GPa compression with magnetically driven liner implosions journal January 2016
Development of the indirect‐drive approach to inertial confinement fusion and the target physics basis for ignition and gain journal November 1995
Influence of impurities on the α to ω phase transition in zirconium under dynamic loading conditions journal December 2009
A modified Mann-Kendall trend test for autocorrelated data journal January 1998
Cases for the nugget in modeling computer experiments journal December 2010
Hydrodynamic simulations of hypervelocity impacts journal January 1989
First-principles theory of Ta up to 10 Mbar pressure: Structural and mechanical properties journal May 1998
Estimation of statistical errors in molecular simulation calculations journal January 1986
The Interpretation and Estimation of Effective Sample Size journal May 1984
Shock-ramp compression: Ramp compression of shock-melted tin journal June 2013
Dynamic compression of copper to over 450 GPa: A high-pressure standard journal April 2016
Magnetically accelerated, ultrahigh velocity flyer plates for shock wave experiments journal October 2005

Figures / Tables (12)

Fig. 1.(p. 4)figure Fig. 1.
Fig. 2.(p. 5)figure Fig. 2.
Table 1(p. 12)table Table 1
Table 2(p. 12)table Table 2
Fig. 3.(p. 15)figure Fig. 3.
Fig. 4.(p. 16)figure Fig. 4.
Fig. 5.(p. 17)figure Fig. 5.
Fig. 6.(p. 17)figure Fig. 6.
Fig. 7.(p. 18)figure Fig. 7.
Fig. 8.(p. 18)figure Fig. 8.
Fig. 9.(p. 19)figure Fig. 9.
Fig. 10.(p. 20)figure Fig. 10.

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Related Subjects

36 MATERIALS SCIENCE
Calibration
Dynamic material properties
Functional output
Gaussian process
Modularization
Uncertainty quantification