Fast strength model characterization using Bayesian statistics

Sjue, Sky; Ahrens, James; Biswas, Ayan; Francom, Devin; Lawrence, Earl; Luscher, Darby; Walters, David

doi:10.1063/12.0000882

Title: Fast strength model characterization using Bayesian statistics

Abstract

A variety of flow stress models exist with new models constantly being developed. These models aim to approximate the strength of materials in a variety of regimes from quasistatic loading through shock scenarios. All models contain an array of parameters which need to be tuned to the material under study. Some models perform well under limited conditions, requiring adjustment of the parameters when venturing outside of those predefined ranges. Other models perform well over a wide range of conditions with a set of parameters, but may be outperformed by other models optimized on a tighter range of conditions. Recent research by Los Alamos demonstrated the ability to optimize the Johnson Cook (JC) model using a set of 3 plate-impact experiments on Aluminum. They utilized Bayesian statistics and emulation to determine optimal parameters for the model with a quantification of parameter uncertainty. We present an extension of this capability to incorporate velocimetry from plate-impact tests, stress-strain data from split Hopkinson pressure bar and quasistatic compression tests, plus profiles from Taylor cylinders in a unified fashion. Statistically robust comparisons of the performance and uncertainty of different realizations of the JC flow stress model were carried out based on calibration to several possiblemore »« less

Authors:

^[1];

^[1]

Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Publication Date:: Wed Nov 04 00:00:00 EST 2020

Research Org.:: Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Sponsoring Org.:: USDOE National Nuclear Security Administration (NNSA)

OSTI Identifier:: 1739968

Report Number(s):: LA-UR-19-27521
Journal ID: ISSN 0094-243X; TRN: US2205412

Grant/Contract Number:: 89233218CNA000001

Resource Type:: Accepted Manuscript

Journal Name:: AIP Conference Proceedings

Additional Journal Information:: Journal Volume: 2272; Conference: SHOCK COMPRESSION OF CONDENSED MATTER - Proceedings of the Conference of the American Physical Society Topical Group on Shock Compression of Condensed Matter, Portland, OR (United States), 06/16/2019-06/21/2019; Journal ID: ISSN 0094-243X

Publisher:: American Institute of Physics (AIP)

Country of Publication:: United States

Language:: English

Subject:: 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Stress strain relations; Impact testing; Bayesian statistics; Fracture mechanics; Velocimetry; Metallurgy

Citation Formats


                    Sjue, Sky, Ahrens, James, Biswas, Ayan, Francom, Devin, Lawrence, Earl, Luscher, Darby, and Walters, David. Fast strength model characterization using Bayesian statistics.  United States: N. p., 2020. 
Web.  doi:10.1063/12.0000882.

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                    Sjue, Sky, Ahrens, James, Biswas, Ayan, Francom, Devin, Lawrence, Earl, Luscher, Darby, & Walters, David. Fast strength model characterization using Bayesian statistics.  United States.  https://doi.org/10.1063/12.0000882

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                    Sjue, Sky, Ahrens, James, Biswas, Ayan, Francom, Devin, Lawrence, Earl, Luscher, Darby, and Walters, David. Wed .  
"Fast strength model characterization using Bayesian statistics".  United States.  https://doi.org/10.1063/12.0000882.  https://www.osti.gov/servlets/purl/1739968.

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@article{osti_1739968,

  title        = {Fast strength model characterization using Bayesian statistics},

  author       = {Sjue, Sky and Ahrens, James and Biswas, Ayan and Francom, Devin and Lawrence, Earl and Luscher, Darby and Walters, David},

  abstractNote = {A variety of flow stress models exist with new models constantly being developed. These models aim to approximate the strength of materials in a variety of regimes from quasistatic loading through shock scenarios. All models contain an array of parameters which need to be tuned to the material under study. Some models perform well under limited conditions, requiring adjustment of the parameters when venturing outside of those predefined ranges. Other models perform well over a wide range of conditions with a set of parameters, but may be outperformed by other models optimized on a tighter range of conditions. Recent research by Los Alamos demonstrated the ability to optimize the Johnson Cook (JC) model using a set of 3 plate-impact experiments on Aluminum. They utilized Bayesian statistics and emulation to determine optimal parameters for the model with a quantification of parameter uncertainty. We present an extension of this capability to incorporate velocimetry from plate-impact tests, stress-strain data from split Hopkinson pressure bar and quasistatic compression tests, plus profiles from Taylor cylinders in a unified fashion. Statistically robust comparisons of the performance and uncertainty of different realizations of the JC flow stress model were carried out based on calibration to several possible combinations of these three different experiment types.},

  doi          = {10.1063/12.0000882},

  journal      = {AIP Conference Proceedings},

  number       = ,

  volume       = 2272,

  place        = {United States},

  year         = {Wed Nov 04 00:00:00 EST 2020},

  month        = {Wed Nov 04 00:00:00 EST 2020}

}

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Works referenced in this record:

Model of plastic deformation for extreme loading conditions
journal, January 2003

Preston, Dean L.; Tonks, Davis L.; Wallace, Duane C.
Journal of Applied Physics, Vol. 93, Issue 1
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A constitutive description of the deformation of copper based on the use of the mechanical threshold stress as an internal state variable
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Design of a Rayleigh–Taylor experiment to measure strength at high pressures
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Mikaelian, Karnig O.
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Flow strength of tantalum under ramp compression to 250 GPa
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Brown, J. L.; Alexander, C. S.; Asay, J. R.
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Steinberg, D. J.; Cochran, S. G.; Guinan, M. W.
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Bayesian calibration of strength parameters using hydrocode simulations of symmetric impact shock experiments of Al-5083
journal, November 2018

Walters, David J.; Biswas, Ayan; Lawrence, Earl C.
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Dislocation‐mechanics‐based constitutive relations for material dynamics calculations
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Comparisons of CTH Simulations with Measured Wave Profiles for Simple Flyer Plate Experiments
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Title: Fast strength model characterization using Bayesian statistics

Abstract

Citation Formats

Model of plastic deformation for extreme loading conditions journal, January 2003

A constitutive description of the deformation of copper based on the use of the mechanical threshold stress as an internal state variable journal, January 1988

Optimizing material strength constants numerically extracted from taylor impact data journal, September 1997

Design of a Rayleigh–Taylor experiment to measure strength at high pressures journal, September 2010

Flow strength of tantalum under ramp compression to 250 GPa journal, January 2014

A constitutive model for metals applicable at high‐strain rate journal, March 1980

Bayesian calibration of strength parameters using hydrocode simulations of symmetric impact shock experiments of Al-5083 journal, November 2018

Dislocation‐mechanics‐based constitutive relations for material dynamics calculations journal, March 1987

Comparisons of CTH Simulations with Measured Wave Profiles for Simple Flyer Plate Experiments journal, June 2016

Model of plastic deformation for extreme loading conditions
journal, January 2003

A constitutive description of the deformation of copper based on the use of the mechanical threshold stress as an internal state variable
journal, January 1988

Optimizing material strength constants numerically extracted from taylor impact data
journal, September 1997

Design of a Rayleigh–Taylor experiment to measure strength at high pressures
journal, September 2010

Flow strength of tantalum under ramp compression to 250 GPa
journal, January 2014

A constitutive model for metals applicable at high‐strain rate
journal, March 1980

Bayesian calibration of strength parameters using hydrocode simulations of symmetric impact shock experiments of Al-5083
journal, November 2018

Dislocation‐mechanics‐based constitutive relations for material dynamics calculations
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Comparisons of CTH Simulations with Measured Wave Profiles for Simple Flyer Plate Experiments
journal, June 2016