• Increasing Talbot grading index (n-value) first enhances then degrades the mechanical properties of grouted reinforcement specimens under fatigue loading.
• Acoustic emission parameters (cumulative ring counts, energy counts) and spectral characteristics correlate strongly with crack evolution and damage progression.
• The cumulative AE ring counts damage model reveals a three-phase fatigue damage behavior, with b-value showing sensitive correlation with volumetric strain growth rate.
• Findings support prediction of destabilization in grouted reinforcement under fatigue and provide theoretical basis for stability control in fragmented rock excavations.
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