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February 16, 2026Applied Sciences4 citationsOpen Access

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

HWHuaxi WuXGXinkai GuoWSWen Sun

Key Points

  • The aim is to enhance fatigue life prediction in steel subjected to hydrogen environments using a physics-informed learning approach.
  • Developed a physics-enhanced learning framework integrating fracture mechanics with machine learning.
  • Reformulated raw experimental variables into dimensionless physical descriptors using Basquin and Goodman relations.
  • Combined deterministic physical predictions with neural network outputs through a dual-pathway inference scheme.
  • Implemented automated hyperparameter selection for robust data-driven modeling.
  • The proposed framework shows a coefficient of determination (R2) exceeding 0.975.
  • Achieved a 70% reduction in root mean square error (RMSE) compared to the baseline model.
  • Demonstrated improved predictive robustness in small sample conditions.

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.

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Cite This Study

Wu et al. (2026) studied this question.

synapsesocial.com/papers/6992b4779b75e639e9b09754https://doi.org/10.3390/app16041905
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