CALPHAD Uncertainty Quantification and TDBX
CALPHAD uncertainty quantification (UQ) is the foundation of materials design with quantified confidence. We report a framework and software packages to enable CALPHAD UQ assessment and calculation using commercial CALPHAD software (Thermo-Calc). This Bayesian inference framework is coupled with a M...
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01.01.2021
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| Abstract | CALPHAD uncertainty quantification (UQ) is the foundation of materials design with quantified confidence. We report a framework and software packages to enable CALPHAD UQ assessment and calculation using commercial CALPHAD software (Thermo-Calc). This Bayesian inference framework is coupled with a Markov chain Monte Carlo algorithm to establish uncertainty traces with a given thermodynamic database file (TDB) and corresponding experimental data points. This general framework is demonstrated with the Ni–Cr binary system. The algorithm is firstly validated on synthetic data with known ground truth. Then it is applied to real experimental data to generate posterior traces. We develop a file format named TDBX, which provides a single source of truth by combining the original TDB content and the traces for each assessed Gibbs energy parameter. CALPHAD UQ calculations are performed based on the TDBX file, from which uncertainties for phase boundaries, enthalpy curves, and solidification range are collected as examples of basic design parameters. This TDBX file with corresponding scripts are made open-source. The combination of CALPHAD UQ assessments and calculations connected by TDBX supports uncertainty-assisted modeling, enabling the integrated application of modern design with uncertainty methodologies to computational materials design. |
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| AbstractList | CALPHAD uncertainty quantification (UQ) is the foundation of materials design with quantified confidence. We report a framework and software packages to enable CALPHAD UQ assessment and calculation using commercial CALPHAD software (Thermo-Calc). This Bayesian inference framework is coupled with a Markov chain Monte Carlo algorithm to establish uncertainty traces with a given thermodynamic database file (TDB) and corresponding experimental data points. This general framework is demonstrated with the Ni–Cr binary system. The algorithm is firstly validated on synthetic data with known ground truth. Then it is applied to real experimental data to generate posterior traces. We develop a file format named TDBX, which provides a single source of truth by combining the original TDB content and the traces for each assessed Gibbs energy parameter. CALPHAD UQ calculations are performed based on the TDBX file, from which uncertainties for phase boundaries, enthalpy curves, and solidification range are collected as examples of basic design parameters. This TDBX file with corresponding scripts are made open-source. The combination of CALPHAD UQ assessments and calculations connected by TDBX supports uncertainty-assisted modeling, enabling the integrated application of modern design with uncertainty methodologies to computational materials design. |
| Author | Sorkin, Sam Gong, Jiadong Li, Meng Lin, Yu Olson, Gregory B. Niu, Changning Frey, Ramón Saboo, Abhinav |
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| CitedBy_id | crossref_primary_10_1016_j_commatsci_2022_111590 crossref_primary_10_1007_s11669_023_01077_5 crossref_primary_10_1016_j_mfglet_2024_09_020 crossref_primary_10_1080_01621459_2023_2294527 crossref_primary_10_1051_matecconf_202440606005 |
| Cites_doi | 10.1007/s004100050444 10.1557/mrc.2019.59 10.1038/s41598-017-05463-1 10.1201/b16018 10.1016/j.calphad.2019.101728 10.1016/0364-5916(91)90027-H 10.1126/science.277.5330.1237 10.2140/camcos.2010.5.65 10.1016/j.calphad.2016.10.003 10.7449/2008/Superalloys_2008_923_932 10.1093/biomet/57.1.97 10.1007/s11837-017-2318-6 10.1016/j.calphad.2016.09.006 10.1063/1.1699114 10.1016/j.actamat.2018.11.007 10.1016/j.calphad.2003.11.002 10.1086/670067 10.1016/j.ijengsci.2019.05.011 10.1080/03052150701742201 10.1016/j.actamat.2019.05.017 10.1016/S0364-5916(97)00039-4 10.1093/biomet/asz066 10.1016/j.scriptamat.2017.10.027 10.5334/jors.140 |
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| Copyright | The Minerals, Metals & Materials Society 2020 Copyright Springer Nature B.V. Jan 2021 |
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| SubjectTerms | Algorithms Augmenting Physics-based Models in ICME with Machine Learning and Uncertainty Quantification Bayesian analysis Chemistry/Food Science Data points Design parameters Earth Sciences Engineering Enthalpy Environment Expected values Ground truth Hypothesis testing Markov analysis Markov chains Physics Software packages Solidification Source code Statistical inference Thermodynamics Uncertainty |
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