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Article

Enhancing Constitutive Description of 5A06 Aluminum Alloy During Warm Deformation Using Machine Learning-Assisted Johnson–Cook Model

1
State Key Laboratory of Materials Processing and Die & Mould Technology, Huazhong University of Science and Technology, No. 1037, Luoyu Road, Hongshan District, Wuhan 430074, China
2
School of Intelligent Manufacturing and Robotics, Shanghai DianJi University, No. 300, Shuihua Road, Pudong New District, Shanghai 201306, China
3
State Key Laboratory of Precision Manufacturing for Extreme Service Performance, School of Mechanical and Electrical Engineering, Central South University, Changsha 410083, China
*
Authors to whom correspondence should be addressed.
Materials 2026, 19(14), 2987; https://doi.org/10.3390/ma19142987
Submission received: 15 June 2026 / Revised: 7 July 2026 / Accepted: 8 July 2026 / Published: 10 July 2026

Abstract

To accurately characterize the warm deformation behavior and workability of the 5A06 aluminum alloy, this study presents an innovative workflow that develops and systematically validates machine learning-assisted Johnson–Cook (ML-JC) frameworks based on artificial neural network (ANN) surrogate models. Two predictive frameworks—the parallel-decoupled PD-ANN-JC and the multi-objective integrated MOI-ANN-JC—were constructed. Quantitatively, both developed ML-JC frameworks achieve significantly higher stress prediction accuracy and superior generalization capability compared with the conventional JC model. Specifically, on the testing set, the MOI-ANN-JC framework yields an average absolute relative error (AARE) of 1.424% and an R2 of 0.997, outperforming the PD-ANN-JC framework (AARE of 3.246%, R2 of 0.988). On the validation set, the MOI-ANN-JC framework also demonstrates exceptional generalization, with an AARE of 3.302% and an R2 of 0.987. Scientifically, the superior performance of the MOI-ANN-JC framework stems from its ANN-mnδ surrogate model, which simultaneously predicts the strain hardening exponent n, thermal softening exponent m, and relative error δ directly from deformation parameters. This mutual coupling establishes an intrinsic correlation between m and n, successfully aligning with the physical reality wherein strain hardening and thermal softening are inherently linked during deformation. Qualitatively and practically, by integrating the MOI-ANN-JC framework into finite element (FE) simulation software, dynamic tracking and visualization of the thermal softening exponent m during warm deformation were achieved. Combined with FE simulations, Vickers hardness testing and EBSD observations, this study successfully establishes a direct qualitative spatial correspondence between low-m regions and macroscopic defects, which was further verified through the warm forging of a thin-walled dual-cavity component. Crucially, this approach for evaluating deformation stability bridges the gap caused by the inapplicability of conventional processing maps within this temperature regime, offering a robust and broadly applicable workflow for complex forming optimization.
Keywords: 5A06 aluminum alloy; warm deformation behavior; artificial neural network; constitutive modeling; thermal softening 5A06 aluminum alloy; warm deformation behavior; artificial neural network; constitutive modeling; thermal softening

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MDPI and ACS Style

Liu, Z.; Deng, L.; Long, J.; Gao, C.; Hao, Y.; Gong, P.; Tang, X.; Wang, X. Enhancing Constitutive Description of 5A06 Aluminum Alloy During Warm Deformation Using Machine Learning-Assisted Johnson–Cook Model. Materials 2026, 19, 2987. https://doi.org/10.3390/ma19142987

AMA Style

Liu Z, Deng L, Long J, Gao C, Hao Y, Gong P, Tang X, Wang X. Enhancing Constitutive Description of 5A06 Aluminum Alloy During Warm Deformation Using Machine Learning-Assisted Johnson–Cook Model. Materials. 2026; 19(14):2987. https://doi.org/10.3390/ma19142987

Chicago/Turabian Style

Liu, Zhao, Lei Deng, Jinchuan Long, Chang Gao, Yi Hao, Pan Gong, Xuefeng Tang, and Xinyun Wang. 2026. "Enhancing Constitutive Description of 5A06 Aluminum Alloy During Warm Deformation Using Machine Learning-Assisted Johnson–Cook Model" Materials 19, no. 14: 2987. https://doi.org/10.3390/ma19142987

APA Style

Liu, Z., Deng, L., Long, J., Gao, C., Hao, Y., Gong, P., Tang, X., & Wang, X. (2026). Enhancing Constitutive Description of 5A06 Aluminum Alloy During Warm Deformation Using Machine Learning-Assisted Johnson–Cook Model. Materials, 19(14), 2987. https://doi.org/10.3390/ma19142987

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