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March 21, 2026European Journal of Mechanics - A/Solids7 citationsOpen Access

Hydrogen-assisted fatigue crack growth of pipeline steels under gaseous hydrogen pressure: A unified anisotropic phase-field model

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SYShiyuan YangRDRoya DarabiARAna Reis

Key Points

  • The main aim is to develop a unified model for understanding hydrogen-assisted fatigue crack growth in pipeline steels under various conditions.
  • Developed an anisotropic phase-field framework for HA-FCG analysis.
  • Incorporated stress-assisted hydrogen diffusion and fatigue degradation in the model.
  • Implemented the model in MOOSE/Felino using a staggered multi-application algorithm.
  • Conducted parametric studies to assess how different factors affect crack growth and paths.
  • Validated the model against experimental data from Sandia National Laboratories.
  • The model successfully captures the influence of microstructural anisotropy on crack growth.
  • Parametric studies indicate varying effects of anisotropy strength on crack growth rates based on loading direction.
  • Experimental validation showed excellent agreement with observed crack paths and growth rates in different orientations.

Abstract

Hydrogen-assisted fatigue crack growth (HA-FCG) poses a major challenge for the structural integrity of high-pressure hydrogen transmission pipelines, particularly due to the combined influences of microstructural heterogeneity, rolling-induced anisotropy, and the coupled mechanics–diffusion processes that govern crack evolution. In this work, we develop a unified anisotropic phase-field framework capable of capturing the synergistic effects of hydrogen embrittlement, fatigue damage accumulation, and direction-dependent fracture resistance. The formulation incorporates (i) an anisotropic fracture surface density via a structural tensor, (ii) stress-assisted hydrogen diffusion with enhanced transport in the fractured zone, and (iii) a fatigue-driven toughness degradation law implemented through an envelope-load cycle acceleration strategy. The model is implemented within the open-source MOOSE/ Felino environment using a staggered multi-application algorithm that couples mechanical fields, hydrogen diffusion, and cyclic damage evolution. The proposed framework reveals how preferential fracture orientations, degrees of anisotropy, hydrogen concentration, and loading frequency jointly influence crack path deviation and growth rate. Parametric studies demonstrate that increasing the anisotropy strength can either accelerate or suppress fatigue crack growth depending on the alignment between the weak fracture direction and external loading. A phenomenological hydrogen degradation law calibrated for API X52–X70 steels is introduced and integrated into the model. Validation against experimental HA-FCGR data from Sandia National Laboratories for X65 CT specimens (for rolling direction and its perpendicular direction) shows excellent agreement, capturing both orientation-dependent crack paths and the relative differences in growth rates. • A unified anisotropic phase-field framework is developed for hydrogen-assisted fatigue crack growth. • Rolling-induced microstructural anisotropy is incorporated through a structural tensor formulation. • Coupled mechanics, stress-assisted hydrogen diffusion, and fatigue degradation are solved using a staggered multi-application scheme in MOOSE/Felino. • Parametric studies reveal how anisotropy strength, preferential orientation, hydrogen concentration, and loading frequency jointly shape crack paths and growth rates. • The model accurately reproduces experimental HA-FCGR data for API X65 CT specimens across C–L, L–C, and L–R orientations.

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Cite This Study

Yang et al. (2026) studied this question.

synapsesocial.com/papers/69be35166e48c4981c673298https://doi.org/10.1016/j.euromechsol.2026.106106
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