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Tensile S-N model of granite: A fatigue phase-field investigation and its implications for underground hard rock CAES cavern operation
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DOI：10.1016/j.compgeo.2026.108519.png)
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Abstract
En 中文
Underground hard rock compressed air energy storage (CAES) technology has witnessed rapid development and now reached a relatively mature stage of application. However, the long-term tensile fatigue damage evolution mechanism of rock under cyclic loading, as well as its regulation methods, remains insufficiently understood and requires further in-depth investigation. To address this gap, this study first develops a fatigue phase-field numerical simulation algorithm, which solves the processes of rock deformation, fatigue degradation, and phase-field evolution through an implicit sequential coupling scheme. Brazilian disk splitting cyclic loading tests are then conducted and numerically reproduced to validate the effectiveness of the proposed fatigue phase-field method. Subsequently, a series of numerical simulation tests on tensile fatigue of granite are carried out to quantitatively reveal the effects of stress amplitude, mean stress, loading frequency, and loading waveform on the tensile fatigue characteristics. The results indicate that stress amplitude and mean stress are the dominant factors influencing the tensile cyclic life of granite, while the effects of loading frequency and waveform are negligible. Finally, a tensile fatigue stress-life (S-N) model is established by integrating theoretical analysis and extended numerical simulation results. Moreover, the relationship between mean stress and the fatigue limit of granite is clarified, which enables the division of safe and hazardous stress zones for CAES caverns. The research findings provide critical theoretical support and engineering guidance for the long-term stable operation of underground hard rock CAES caverns, particularly in determining their stress boundary conditions.
Keywords:
Compressed air energy storage
Tensile fatigue damage
Brazilian splitting cyclic loading test
Fatigue phase-field method
S-N model
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