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Title: Bayesian calibration of strength parameters using hydrocode simulations of symmetric impact shock experiments of Al-5083

Abstract

We report that predictive modeling of materials requires accurately parameterized constitutive models. Parameterizing models that describe dynamic strength and plasticity require experimentally probing materials in a variety of strain rate regimes. Some experimental protocols (e.g., plate impact) probe the constitutive response of a material using indirect measures such as free surface velocimetry. Manual efforts to parameterize constitutive models using indirect experimental measures often lead to non-unique optimizations without quantification of parameter uncertainty. This study uses a Bayesian statistical approach to find model parameters and to quantify the uncertainty of the resulting parameters. The technique is demonstrated by parameterizing the Johnson-Cook strength model for aluminum alloy 5083 by coupling hydrocode simulations and velocimetry measurements of a series of plate impact experiments. Simulation inputs and outputs are used to calibrate an emulator that mimics the outputs of the computationally intensive simulations. Varying the amount of experimental data available for emulator calibration showed clear differences in the degree of uncertainty and uniqueness of the resulting optimized Johnson-Cook parameters for Al-5083. The results of the optimization provided a numerical evaluation of the degree of confidence in model parameters and model performance. Lastly, given an understanding of the physical effects of certain model parameters, individualmore » parameter uncertainty can be leveraged to quickly identify gaps in the physical domains covered by completed experiments.« less

Authors:
ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [2]; ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [1]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  2. Duke Univ., Durham, NC (United States); Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE Laboratory Directed Research and Development (LDRD) Program
OSTI Identifier:
1489952
Report Number(s):
LA-UR-18-20884
Journal ID: ISSN 0021-8979
Grant/Contract Number:  
89233218CNA000001; AC52-06NA25396
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Applied Physics
Additional Journal Information:
Journal Volume: 124; Journal Issue: 20; Journal ID: ISSN 0021-8979
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Citation Formats

Walters, David J., Biswas, Ayan, Lawrence, Earl Christopher, Francom, Devin Craig, Luscher, Darby Jon, Fredenburg, David Anthony, Moran, Kelly Renee, Sweeney, Christine Marie, Sandberg, Richard L., Ahrens, James Paul, and Bolme, Cynthia Anne. Bayesian calibration of strength parameters using hydrocode simulations of symmetric impact shock experiments of Al-5083. United States: N. p., 2018. Web. doi:10.1063/1.5051442.
Walters, David J., Biswas, Ayan, Lawrence, Earl Christopher, Francom, Devin Craig, Luscher, Darby Jon, Fredenburg, David Anthony, Moran, Kelly Renee, Sweeney, Christine Marie, Sandberg, Richard L., Ahrens, James Paul, & Bolme, Cynthia Anne. Bayesian calibration of strength parameters using hydrocode simulations of symmetric impact shock experiments of Al-5083. United States. https://doi.org/10.1063/1.5051442
Walters, David J., Biswas, Ayan, Lawrence, Earl Christopher, Francom, Devin Craig, Luscher, Darby Jon, Fredenburg, David Anthony, Moran, Kelly Renee, Sweeney, Christine Marie, Sandberg, Richard L., Ahrens, James Paul, and Bolme, Cynthia Anne. Tue . "Bayesian calibration of strength parameters using hydrocode simulations of symmetric impact shock experiments of Al-5083". United States. https://doi.org/10.1063/1.5051442. https://www.osti.gov/servlets/purl/1489952.
@article{osti_1489952,
title = {Bayesian calibration of strength parameters using hydrocode simulations of symmetric impact shock experiments of Al-5083},
author = {Walters, David J. and Biswas, Ayan and Lawrence, Earl Christopher and Francom, Devin Craig and Luscher, Darby Jon and Fredenburg, David Anthony and Moran, Kelly Renee and Sweeney, Christine Marie and Sandberg, Richard L. and Ahrens, James Paul and Bolme, Cynthia Anne},
abstractNote = {We report that predictive modeling of materials requires accurately parameterized constitutive models. Parameterizing models that describe dynamic strength and plasticity require experimentally probing materials in a variety of strain rate regimes. Some experimental protocols (e.g., plate impact) probe the constitutive response of a material using indirect measures such as free surface velocimetry. Manual efforts to parameterize constitutive models using indirect experimental measures often lead to non-unique optimizations without quantification of parameter uncertainty. This study uses a Bayesian statistical approach to find model parameters and to quantify the uncertainty of the resulting parameters. The technique is demonstrated by parameterizing the Johnson-Cook strength model for aluminum alloy 5083 by coupling hydrocode simulations and velocimetry measurements of a series of plate impact experiments. Simulation inputs and outputs are used to calibrate an emulator that mimics the outputs of the computationally intensive simulations. Varying the amount of experimental data available for emulator calibration showed clear differences in the degree of uncertainty and uniqueness of the resulting optimized Johnson-Cook parameters for Al-5083. The results of the optimization provided a numerical evaluation of the degree of confidence in model parameters and model performance. Lastly, given an understanding of the physical effects of certain model parameters, individual parameter uncertainty can be leveraged to quickly identify gaps in the physical domains covered by completed experiments.},
doi = {10.1063/1.5051442},
journal = {Journal of Applied Physics},
number = 20,
volume = 124,
place = {United States},
year = {Tue Nov 27 00:00:00 EST 2018},
month = {Tue Nov 27 00:00:00 EST 2018}
}

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