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Fracture Evolution in Rocks with a Hole and Symmetric Edge Cracks Under Biaxial Compression: An Experimental and Numerical Study

Daobing Zhang, Linhai Zeng, Shurong Guo, Zhiping Chen, Jiahua Zhang, Xianyong Jiang, Futian Zhang, Anmin Jiang

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Source: Crossref

Published: Dec 18, 2025

DOI: 10.3390/math13244035

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Source abstract

This study employs physical experiments and the RFPA3D numerical method to investigate the fracture evolution of rocks containing a central hole with symmetrically arranged double cracks (seven inclination angles β) under biaxial compression. The results demonstrate that peak stress and strain exhibit nonlinear increases with rising β. Tensile–shear failure dominates at lower angles (β = 0–60°), characterized by secondary crack initiation at defect tips and wing/anti-wing crack development at intermediate angles (β = 45–60°). At higher angles (β = 75–90°), shear failure prevails, governed by crack propagation along hole walls. When β exceeds 45°, enhanced normal stress on crack planes suppresses mode II propagation and secondary crack formation. Elevated lateral pressures (15–20 MPa) significantly alter failure patterns by redirecting the maximum principal stress, causing cracks to align parallel to this orientation and driving anti-wing cracks toward specimen boundaries. Three-dimensional analysis reveals critical differences between internal and surface fracture propagation, highlighting how penetrating cracks around the hole crucially impact stability. This study provides valuable insights into complex fracture mechanisms in defective rock masses, offering practical guidance for stability assessment in underground mining operations where such composite defects commonly occur.

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Fracture Evolution in Rocks with a Hole and Symmetric Edge Cracks Under Biaxial Compression: An Experimental and Numerical Study — Mathematical Frontier Network