Fatigue Life Prediction of Steels in Hydrogen Environments Using Physics-Informed Learning

Hydrogen embrittlement poses a critical threat to the durability of metallic components in emerging hydrogen energy infrastructure. Reliable fatigue life assessment in hydrogen-rich environments is, however, severely constrained by the high cost and low throughput of high-pressure testing, resulting in characteristically sparse experimental datasets. Conventional empirical fatigue models struggle to capture hydrogen–mechanical coupling effects, while purely data-driven approaches often suffer from severe overfitting under data-scarce conditions. To address this challenge, this study develops a physics-enhanced learning framework that integrates established fracture mechanics principles with machine learning. Using high-strength GS80A steel as a case study, two complementary strategies are introduced. First, a physically augmented input strategy reformulates raw experimental variables into dimensionless physical descriptors derived from the Basquin and Goodman relations, thereby reducing the complexity of the learning space. Second, a physics-regularized ensemble strategy combines deterministic physical predictions with neural network outputs through a dual-pathway inference scheme, ensuring physically admissible behavior during extrapolation. An automated hyperparameter selection module is further employed to establish a robust data-driven baseline. Comparative evaluation against optimized multi-layer perceptron and support vector regression models demonstrates that the proposed framework significantly improves predictive robustness in small-sample regimes. Specifically, the coefficient of determination (R2) exceeds 0.975, with the root mean square error (RMSE) reduced by approximately 70% compared to the pure data-driven baseline. By systematically embedding mechanistic priors into the learning process, the proposed approach provides a reliable and interpretable tool for fatigue assessment of metallic components operating in hydrogen environments.

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Publication Details

Journal
Applied Sciences
Published
2026-02-13
DOI
https://doi.org/10.3390/app16041905
Primary Topic
Hydrogen embrittlement and corrosion behaviors in metals
Type
article
Field-Weighted Citation Impact
0.00

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article

Fatigue Life Prediction of Steels in Hydrogen Environments Using Physics-Informed Learning

Lu-Kai Song, Shiyuan Yang, Xinkai Guo, Debiao Meng et al.
Applied Sciences
Hydrogen embrittlement and corrosion behaviors in metals
article

Fatigue Life Prediction of Steels in Hydrogen Environments Using Physics-Informed Learning

Lu-Kai Song, Shiyuan Yang, Xinkai Guo, Debiao Meng, Wen Sun, Huaxi Wu, Qingyang Deng
article en

Abstract

Hydrogen embrittlement poses a critical threat to the durability of metallic components in emerging hydrogen energy infrastructure. Reliable fatigue life assessment in hydrogen-rich environments is, however, severely constrained by the high cost and low throughput of high-pressure testing, resulting in characteristically sparse experimental datasets. Conventional empirical fatigue models struggle to capture hydrogen–mechanical coupling effects, while purely data-driven approaches often suffer from severe overfitting under data-scarce conditions. To address this challenge, this study develops a physics-enhanced learning framework that integrates established fracture mechanics principles with machine learning. Using high-strength GS80A steel as a case study, two complementary strategies are introduced. First, a physically augmented input strategy reformulates raw experimental variables into dimensionless physical descriptors derived from the Basquin and Goodman relations, thereby reducing the complexity of the learning space. Second, a physics-regularized ensemble strategy combines deterministic physical predictions with neural network outputs through a dual-pathway inference scheme, ensuring physically admissible behavior during extrapolation. An automated hyperparameter selection module is further employed to establish a robust data-driven baseline. Comparative evaluation against optimized multi-layer perceptron and support vector regression models demonstrates that the proposed framework significantly improves predictive robustness in small-sample regimes. Specifically, the coefficient of determination (R2) exceeds 0.975, with the root mean square error (RMSE) reduced by approximately 70% compared to the pure data-driven baseline. By systematically embedding mechanistic priors into the learning process, the proposed approach provides a reliable and interpretable tool for fatigue assessment of metallic components operating in hydrogen environments.

Applied SciencesVol. 16(4)
Oklahoma State University (US), University of Electronic Science and Technology of China (CN), Universidade do Porto (PT), Southwest Jiaotong University (CN), University of Science and Technology Beijing (CN)
China Scholarship Council, Basic and Applied Basic Research Foundation of Guangdong Province
Industry, innovation and infrastructure
Openalex Percentile: Top 61%
Hydrogen embrittlement and corrosion behaviors in metals
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