Phase diagram construction and prediction method based on machine learning algorithms

Phase diagram, which is known as the “compass” and “map” of materials research, plays a guiding role in the material design and development. Conventional CALPHAD method could provide the detailed information on the phase equilibria via the assessment of thermodynamics model parameters. However, CALP...

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Main Authors: Shengkun Xi, Jiahui Li, Longke Bao, Rongpei Shi, Haijun Zhang, Xiaoyu Chong, Zhou Li, Cuiping Wang, Xingjun Liu
Format: Article
Language:English
Published: Elsevier 2025-05-01
Series:Journal of Materials Research and Technology
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Online Access:http://www.sciencedirect.com/science/article/pii/S2238785425005745
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author Shengkun Xi
Jiahui Li
Longke Bao
Rongpei Shi
Haijun Zhang
Xiaoyu Chong
Zhou Li
Cuiping Wang
Xingjun Liu
author_facet Shengkun Xi
Jiahui Li
Longke Bao
Rongpei Shi
Haijun Zhang
Xiaoyu Chong
Zhou Li
Cuiping Wang
Xingjun Liu
author_sort Shengkun Xi
collection DOAJ
description Phase diagram, which is known as the “compass” and “map” of materials research, plays a guiding role in the material design and development. Conventional CALPHAD method could provide the detailed information on the phase equilibria via the assessment of thermodynamics model parameters. However, CALPHAD assessment for the multi-component systems can be particularly challenging due to the significant time costs involved and lack of experimental data, especially when attempting to predict the phase diagrams of multi-component systems. The fast-growing machine learning technique opens a new pathway to deal with tons of data and parameters. Meanwhile, the CALPHAD method has accumulated abundant high-quality phase diagram data who would be the perfect training data for the machine learning algorithms. In the present work, a phase diagram prediction method which integrates machine learning algorithms with CALPHAD descriptors is proposed. The present study establishes and train machine learning models to predict phase-type and solvus temperature of the materials. Using training datasets obtained from the CALPHAD method, we combine the total Gibbs energy and magnetic descriptor with training set to predict the isothermal sections of Cu–Co–Ni and Fe–Cu–Co ternary systems. The results indicate that the elevated temperatures not only enhance the solubility of Co, Ni, and Cu in intermetallic compounds but also facilitate the formation of eutectic precipitates (γFe+αCo). This methodology can efficiently predict the phase diagram of material system with higher number of components by training the phase diagram data of lower ones, thereby providing a new strategy to complement the CALPHAD with machine learning technique and extend the application of CALPHAD method to the advanced materials including high entropy alloys and functional materials.
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issn 2238-7854
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publishDate 2025-05-01
publisher Elsevier
record_format Article
series Journal of Materials Research and Technology
spelling doaj-art-4b3682deb3ed4176bc1b0277e548ebed2025-08-20T02:49:22ZengElsevierJournal of Materials Research and Technology2238-78542025-05-01361917192910.1016/j.jmrt.2025.03.065Phase diagram construction and prediction method based on machine learning algorithmsShengkun Xi0Jiahui Li1Longke Bao2Rongpei Shi3Haijun Zhang4Xiaoyu Chong5Zhou Li6Cuiping Wang7Xingjun Liu8School of Materials Science and Engineering, and Institute of Materials Genome and Big Data, Harbin Institute of Technology, Shenzhen, 518055, PR China; Department of Computer Science, Harbin Institute of Technology, Shenzhen, 518055, PR ChinaSchool of Materials Science and Engineering, and Institute of Materials Genome and Big Data, Harbin Institute of Technology, Shenzhen, 518055, PR ChinaSchool of Materials Science and Engineering, and Institute of Materials Genome and Big Data, Harbin Institute of Technology, Shenzhen, 518055, PR ChinaSchool of Materials Science and Engineering, and Institute of Materials Genome and Big Data, Harbin Institute of Technology, Shenzhen, 518055, PR ChinaDepartment of Computer Science, Harbin Institute of Technology, Shenzhen, 518055, PR ChinaFaculty of Materials Science and Engineering, Kunming University of Science and Technology, Kunming, 650093, PR ChinaCollege of Medical Information and Artificial Intelligence, Shandong First Medical University & Shandong Academy of Medical Sciences, Jinan, 250117, PR China; Corresponding author.College of Materials and Fujian Provincial Key Laboratory of Materials Genome, Xiamen University, Xiamen, 361005, PR China; Corresponding author.School of Materials Science and Engineering, and Institute of Materials Genome and Big Data, Harbin Institute of Technology, Shenzhen, 518055, PR China; College of Materials and Fujian Provincial Key Laboratory of Materials Genome, Xiamen University, Xiamen, 361005, PR China; State Key Laboratory of Advanced Welding and Joining, Harbin Institute of Technology, Shenzhen, 518055, PR China; Corresponding author. School of Materials Science and Engineering, and Institute of Materials Genome and Big Data, Harbin Institute of Technology, Shenzhen, 518055, PR China.Phase diagram, which is known as the “compass” and “map” of materials research, plays a guiding role in the material design and development. Conventional CALPHAD method could provide the detailed information on the phase equilibria via the assessment of thermodynamics model parameters. However, CALPHAD assessment for the multi-component systems can be particularly challenging due to the significant time costs involved and lack of experimental data, especially when attempting to predict the phase diagrams of multi-component systems. The fast-growing machine learning technique opens a new pathway to deal with tons of data and parameters. Meanwhile, the CALPHAD method has accumulated abundant high-quality phase diagram data who would be the perfect training data for the machine learning algorithms. In the present work, a phase diagram prediction method which integrates machine learning algorithms with CALPHAD descriptors is proposed. The present study establishes and train machine learning models to predict phase-type and solvus temperature of the materials. Using training datasets obtained from the CALPHAD method, we combine the total Gibbs energy and magnetic descriptor with training set to predict the isothermal sections of Cu–Co–Ni and Fe–Cu–Co ternary systems. The results indicate that the elevated temperatures not only enhance the solubility of Co, Ni, and Cu in intermetallic compounds but also facilitate the formation of eutectic precipitates (γFe+αCo). This methodology can efficiently predict the phase diagram of material system with higher number of components by training the phase diagram data of lower ones, thereby providing a new strategy to complement the CALPHAD with machine learning technique and extend the application of CALPHAD method to the advanced materials including high entropy alloys and functional materials.http://www.sciencedirect.com/science/article/pii/S2238785425005745CALPHADMachine learningDigitalized phase diagramPhase regionSolvus temperature
spellingShingle Shengkun Xi
Jiahui Li
Longke Bao
Rongpei Shi
Haijun Zhang
Xiaoyu Chong
Zhou Li
Cuiping Wang
Xingjun Liu
Phase diagram construction and prediction method based on machine learning algorithms
Journal of Materials Research and Technology
CALPHAD
Machine learning
Digitalized phase diagram
Phase region
Solvus temperature
title Phase diagram construction and prediction method based on machine learning algorithms
title_full Phase diagram construction and prediction method based on machine learning algorithms
title_fullStr Phase diagram construction and prediction method based on machine learning algorithms
title_full_unstemmed Phase diagram construction and prediction method based on machine learning algorithms
title_short Phase diagram construction and prediction method based on machine learning algorithms
title_sort phase diagram construction and prediction method based on machine learning algorithms
topic CALPHAD
Machine learning
Digitalized phase diagram
Phase region
Solvus temperature
url http://www.sciencedirect.com/science/article/pii/S2238785425005745
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AT haijunzhang phasediagramconstructionandpredictionmethodbasedonmachinelearningalgorithms
AT xiaoyuchong phasediagramconstructionandpredictionmethodbasedonmachinelearningalgorithms
AT zhouli phasediagramconstructionandpredictionmethodbasedonmachinelearningalgorithms
AT cuipingwang phasediagramconstructionandpredictionmethodbasedonmachinelearningalgorithms
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