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Inference of strength and phase transition kinetics in dynamically-compressed tin

Journal Article · · Journal of Applied Physics
DOI:https://doi.org/10.1063/5.0150749· OSTI ID:2204462

Dynamic compression experiments in condensed matter are of interest in part because they provide opportunities to examine material response under extreme conditions; however, the inference of material behavior from dynamic experiments is challenging in the presence of phase transitions exhibiting kinetic processes. Demonstrating an approach to quantitative interpretation of such dynamic experiments, here we present a Bayesian model calibration of strength and phase transformation parameters to data drawn from pulsed power and gas gun shot experiments. The posterior predictions of the Bayesian model capture the experimental measurements and account for the various uncertainties in the experimental configurations. This holistic approach to model calibration utilizing multiple types of experimental data identifies important cross correlations among kinetics, strength, and the phase boundary. Improved insight into potential sources of current model form error is provided by comparing the differences between calibrations against different subsets of the experimental data.

Research Organization:
Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States); Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
AC52-07NA27344; NA0003525
OSTI ID:
2204462
Report Number(s):
LLNL--JRNL-846357; 1070043
Journal Information:
Journal of Applied Physics, Journal Name: Journal of Applied Physics Journal Issue: 24 Vol. 133; ISSN 0021-8979
Publisher:
American Institute of Physics (AIP)Copyright Statement
Country of Publication:
United States
Language:
English

References (47)

An Experimental, Computational, and Statistical Strategy for the Bayesian Calibration of Complex Material Models journal March 2023
Anelasticity and Phase Transition During Ramp-Release in Tin journal October 2020
A study of ALE simulations of Rayleigh–Taylor instability journal March 2001
A comparison of material flow strength models using Bayesian cross-validation journal November 2019
Bayesian calibration of a physics-based crystal plasticity and damage model journal April 2021
Optimizing the configuration of plasma radiation detectors in the presence of uncertain instrument response and inadequate physics journal January 2023
Equation of state of iron under core conditions of large rocky exoplanets journal April 2018
Phase transition and spall behavior in β-TiN conference January 2000
Model of plastic deformation for extreme loading conditions journal January 2003
Magnetically accelerated, ultrahigh velocity flyer plates for shock wave experiments journal October 2005
Measurement of the Dynamic β-γ Phase Boundary in tin conference January 2008
Successive phase transitions of tin under shock compression journal March 2008
Shock-induced bct-bcc transition and melting of tin identified by sound velocity measurements journal October 2008
A unified approach for extracting strength information from nonsimple compression waves. Part I: Thermodynamics and numerical implementation journal December 2011
Shock compression and quasielastic release in tantalum conference January 1994
Unloading and reloading response of shocked aluminum single crystals: Time-dependent anisotropic material description journal November 2012
Extracting strength from high pressure ramp-release experiments journal December 2013
An iterative forward analysis technique to determine the equation of state of dynamically compressed materials journal May 2017
Bayesian calibration of strength parameters using hydrocode simulations of symmetric impact shock experiments of Al-5083 journal November 2018
Making inertial confinement fusion models more predictive journal August 2019
Inverse problem instabilities in large-scale modeling of matter in extreme conditions journal November 2019
Anelastic effects on reverse loading – Connection to evolving dislocation structure
  • Barton, Nathan R.; Austin, Ryan A.; Brown, Justin L.
  • SHOCK COMPRESSION OF CONDENSED MATTER - 2019: Proceedings of the Conference of the American Physical Society Topical Group on Shock Compression of Condensed Matter, AIP Conference Proceedings https://doi.org/10.1063/12.0000914
conference January 2020
Coupling solidification kinetics with phase-behavior computations in hydrodynamic simulations of high-pressure, dynamic-compression processes journal December 2020
High-energy-density-physics measurements in implosions using Bayesian inference journal March 2021
Simultaneous inference of the compressibility and inelastic response of tantalum under extreme loading journal August 2021
Uncertainty quantification for a multi-phase carbon equation of state model journal April 2022
Identifiability of Parameters in MCMC Bayesian Inference of Phylogeny journal September 2002
Development of a Bayesian method for the analysis of inertial confinement fusion experiments on the NIF journal June 2013
Multiphase tin equation of state using density functional theory journal May 2021
Tin at high pressure: An energy-dispersive x-ray-diffraction study to 120 GPa journal May 1989
High-pressure structural transformations of Sn up to 138 GPa: Angle-dispersive synchrotron x-ray diffraction study journal September 2013
High-pressure melting behavior of tin up to 105 GPa journal February 2017
Constraining physical models at gigabar pressures journal November 2020
Grain-Size-Independent Plastic Flow at Ultrahigh Pressures and Strain Rates journal February 2015
X-Ray Diffraction of Solid Tin to 1.2 TPa journal August 2015
Pulsed power accelerator for material physics experiments journal September 2015
Bayesian inference in physics journal September 2011
Observation of the shock-induced β-Sn to b.c.t.-Sn transition using time-resolved X-ray diffraction journal January 2019
Estimating material properties under extreme conditions by using Bayesian model calibration with functional outputs journal March 2018
Insulator-metal transition in dense fluid deuterium journal August 2018
Measuring the melting curve of iron at super-Earth core conditions journal January 2022
Uncertainty Quantification: Theory, Implementation, and Applications book January 2013
Bayesian Data Analysis book November 2013
A Multi-Phase Modeling Framework Suitable for Dynamic Applications journal October 2022
Hamiltonian Monte Carlo for Hierarchical Models preprint January 2013
Stacking for Non-mixing Bayesian Computations: The Curse and Blessing of Multimodal Posteriors preprint January 2020
Probabilistic programming in Python using PyMC3 journal January 2016

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