The numerical prediction of compressive-fatigue fracture in heterogeneous brittle rocks under cyclic loading presents a formidable challenge in computational geomechanics. To address this, we introduce a novel mixed-phase field model, grounded in a grain-based methodology, for simulating the fatigue damage and fracture processes in such materials. The proposed framework incorporates two distinct fatigue degradation functions, specifically designed to capture the evolution of both Mode I (tensile) and Mode II (shear) cracks under cyclic conditions. The model is validated through its successful application to standard benchmark problems, including cyclic tests on a single-edge notched specimen and a homogeneous rock specimen embedding a pre-defined weak inclusion. Moreover, we develop a comprehensive numerical model to replicate the complete failure process of a heterogeneous brittle sandstone subjected to cyclic compressive loading. The simulations capture the characteristic stress–strain hysteresis and the progressive initiation and propagation of complex crack networks. Our results indicate that macroscopic damage accumulation commences only after the applied stress exceeds a critical fatigue threshold, beyond which progressive degradation ensues. A key insight from parametric studies reveals that a reduction in the Mode II critical energy release rate (GcII) significantly accelerates the initial decay of the tensile fatigue degradation function under a constant stress amplitude. The findings of this study substantiate the extension of the phase-field method to the critical problem of fatigue life prediction in heterogeneous brittle rocks, offering a robust tool for advancing the understanding of their long-term mechanical behavior.
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