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Article

Physics-Based Machine Learning Framework for Predicting Structure-Property Relationships in DED-Fabricated Low-Alloy Steels †

1
Department of Mechanical & Aerospace Engineering, Missouri University of Science and Technology, Rolla, MO 65409, USA
2
Department of Mechanical and Aerospace Engineering, SEDS, Nazarbayev University, Qabanbay Batyr Ave 53, Astana 010000, Kazakhstan
3
National Strategic Planning & Analysis Research Center, Mississippi State University, Starkville, MS 39762, USA
4
Intelligent Systems Center, Missouri University of Science and Technology, Rolla, MO 65409, USA
*
Author to whom correspondence should be addressed.
This article is a revised and expanded version of a paper entitled “A Machine Learning Model to Predict Mechanical Property of Directed Energy Deposition Processed Low Alloy Steels,” which was presented at the 2025 Annual International Solid Freeform Fabrication Symposium (SFF 2025), Austin, TX, USA, 10–13 August 2025.
Metals 2025, 15(9), 965; https://doi.org/10.3390/met15090965 (registering DOI)
Submission received: 14 July 2025 / Revised: 21 August 2025 / Accepted: 27 August 2025 / Published: 29 August 2025

Abstract

The Directed Energy Deposition (DED) process has demonstrated high efficiency in manufacturing steel parts with complex geometries and superior capabilities. Understanding the complex interplays of alloy compositions, cooling rates, grain sizes, thermal histories, and mechanical properties remains a significant challenge during DED processing. Interpretable and data-driven modeling has proven effective in tackling this challenge, as machine learning (ML) algorithms continue to advance in capturing complex property structural relationships. However, accurately predicting the prime mechanical properties, including ultimate tensile strength (UTS), yield strength (YS), and hardness value (HV), remains a challenging task due to the complex and non-linear relationships among process parameters, material constituents, grain size, cooling rates, and thermal history. This study introduces an ML model capable of accurately predicting the UTS, YS, and HV of a material dataset comprising 4900 simulation analyses generated using the “JMatPro” software, with input parameters including material compositions, grain size, cooling rates, and temperature, all of which are relevant to DED-processed low-alloy steels. Subsequently, an ML model is developed using the generated dataset. The proposed framework incorporates a physics-based DED-specific feature that leverages “JMatPro” simulations to extract key input parameters such as material composition, grain size, cooling rate, and thermal properties relevant to mechanical behavior. This approach integrates a suite of flexible ML algorithms along with customized evaluation metrics to form a robust foundation to predict mechanical properties. In parallel, explicit data-driven models are constructed using Multivariable Linear Regression (MVLR), Polynomial Regression (PR), Multi-Layer Perceptron Regressor (MLPR), XGBoost, and classification models to provide transparent and analytical insight into the mechanical property predictions of DED-processed low-alloy steels.
Keywords: DED; low-alloy steels; mechanical property prediction; machine learning; explainable AI; process–structure–property relationships DED; low-alloy steels; mechanical property prediction; machine learning; explainable AI; process–structure–property relationships

Share and Cite

MDPI and ACS Style

Rahman, A.; Ali, M.H.; Malik, A.W.; Mahmood, M.A.; Liou, F. Physics-Based Machine Learning Framework for Predicting Structure-Property Relationships in DED-Fabricated Low-Alloy Steels. Metals 2025, 15, 965. https://doi.org/10.3390/met15090965

AMA Style

Rahman A, Ali MH, Malik AW, Mahmood MA, Liou F. Physics-Based Machine Learning Framework for Predicting Structure-Property Relationships in DED-Fabricated Low-Alloy Steels. Metals. 2025; 15(9):965. https://doi.org/10.3390/met15090965

Chicago/Turabian Style

Rahman, Atiqur, Md. Hazrat Ali, Asad Waqar Malik, Muhammad Arif Mahmood, and Frank Liou. 2025. "Physics-Based Machine Learning Framework for Predicting Structure-Property Relationships in DED-Fabricated Low-Alloy Steels" Metals 15, no. 9: 965. https://doi.org/10.3390/met15090965

APA Style

Rahman, A., Ali, M. H., Malik, A. W., Mahmood, M. A., & Liou, F. (2025). Physics-Based Machine Learning Framework for Predicting Structure-Property Relationships in DED-Fabricated Low-Alloy Steels. Metals, 15(9), 965. https://doi.org/10.3390/met15090965

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