<p>Deep rock masses often experience complex cyclic loading during excavation; however, their failure mechanisms under true-triaxial stress states remain inadequately understood. This study examines the anisotropic deformation, failure mechanisms, and damage evolution of marble through true-triaxial cyclic loading and unloading tests under different intermediate principal stress differences (<i>λ</i>). Results show&#xa0;that the plastic strain increment ratio is larger in the <i>σ</i><sub>3</sub>-direction than in&#xa0;the <i>σ</i><sub>2</sub>-direction, and volumetric dilation is predominantly governed by strain in the <i>σ</i><sub>3</sub>-direction. The peak strength and crack damage stress conform to the linear Mogi strength criterion, while the peak dilation angle exhibits a V-shaped trend with increasing <i>λ</i>. The failure mode transitions from splitting tensile failure to tension-shear mixed failure as <i>λ</i> increases from 0 to 90&#xa0;MPa, accompanied by a decrease in fracture angle from 83° to 63°. Energy dissipation follows a concave-up trend, with energy storage in the <i>σ</i><sub>1</sub>-&#xa0;and <i>σ</i><sub>2</sub>-directions increasing as λ rises. Acoustic emission (AE) activity intensifies near the peak stress during each cycle, and the&#xa0;AE <i>b</i>-value fluctuates before a sharp decline. Both the sharp drop in the AE <i>b</i>-value and the occurrence of the Felicity effect (at &gt; 88% peak stress) are recognized as critical precursors to instability. Furthermore, both energy-based and strain-based damage variables exhibit a three-stage growth pattern and are well described by the Logistic growth model. A higher λ delays rapid damage accumulation and enhances rock stability. Accordingly, a comprehensive damage model integrating energy-based continuity and AE sensitivity is proposed for stability prediction in deep underground engineering.</p>

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Damage Evolution and Energy Dissipation Mechanisms in Marble Subjected to Cyclic Stress-Path Disturbances

  • Zhiliang Wang,
  • Jingjing Fu,
  • Jianguo Wang

摘要

Deep rock masses often experience complex cyclic loading during excavation; however, their failure mechanisms under true-triaxial stress states remain inadequately understood. This study examines the anisotropic deformation, failure mechanisms, and damage evolution of marble through true-triaxial cyclic loading and unloading tests under different intermediate principal stress differences (λ). Results show that the plastic strain increment ratio is larger in the σ3-direction than in the σ2-direction, and volumetric dilation is predominantly governed by strain in the σ3-direction. The peak strength and crack damage stress conform to the linear Mogi strength criterion, while the peak dilation angle exhibits a V-shaped trend with increasing λ. The failure mode transitions from splitting tensile failure to tension-shear mixed failure as λ increases from 0 to 90 MPa, accompanied by a decrease in fracture angle from 83° to 63°. Energy dissipation follows a concave-up trend, with energy storage in the σ1- and σ2-directions increasing as λ rises. Acoustic emission (AE) activity intensifies near the peak stress during each cycle, and the AE b-value fluctuates before a sharp decline. Both the sharp drop in the AE b-value and the occurrence of the Felicity effect (at > 88% peak stress) are recognized as critical precursors to instability. Furthermore, both energy-based and strain-based damage variables exhibit a three-stage growth pattern and are well described by the Logistic growth model. A higher λ delays rapid damage accumulation and enhances rock stability. Accordingly, a comprehensive damage model integrating energy-based continuity and AE sensitivity is proposed for stability prediction in deep underground engineering.