Understanding the stress distribution, deformation and fracture behavior around a circular hole or inclusion is critical for the stability assessment of rock structures such as tunnels and backfilled openings. In this study, the analytical solutions of stress and displacement distribution around a circular inclusion of different elastic properties were first derived based on the theory of elasticity. Then prismatic sandstones with a circular hole in different filling modes were prepared and tested in uniaxial compression tests. Progressive deformation and fracturing behavior around holes were analyzed by digital image correlation technique. Moreover, the energy evolution characteristics of specimens were studied to reveal its deformation and failure mechanism. The results show that after filling, the radial and tangential stress and displacement of the inclusion increase, while the stress and displacement around the surrounding rock of the hole decreases, thereby improving the strength and deformation properties. In addition, the crack types and initiation positions around the unfilled and filled holes are quite different due to the stress redistribution. Based on the energy evolution characteristics and the major principal strain fields, the stress-strain behavior is divided into five stages. It is found that the inclusion not only has passive supporting and energy absorption effects on the surrounding rock, but also has a similar crack arrest effect on the initiation and propagation of new cracks. Finally, the effects of inclusion elastic properties and lateral stress coefficient on the stress concentration characteristics around the filled hole were discussed.

了解圆孔或夹杂物周围的应力分布、变形和断裂行为对于隧道和回填开口等岩石结构的稳定性评估至关重要。本研究首先基于弹性理论推导了具有不同弹性特性的圆形夹杂物周围应力和位移分布的解析解。然后制备不同充填方式的圆孔棱柱状砂岩并进行单轴压缩试验. 采用数字图像相关技术分析了孔周围的渐进变形和破裂行为。此外，研究了试件的能量演化特性，揭示了其变形和破坏机制。结果表明，填充后，夹杂物的径向和切向应力和位移增大，而孔周围围岩的应力和位移减小，从而提高了强度和变形性能. 此外，由于应力重分布，未填充孔和已填充孔周围的裂纹类型和起始位置存在很大差异。根据能量演化特征和主要主应变场，将应力-应变行为分为五个阶段。研究发现，夹杂物不仅对围岩具有被动支撑和吸能作用，而且对新裂缝的萌生和扩展也具有类似的止裂作用。最后讨论了夹杂物弹性特性和侧向应力系数对填孔周围应力集中特性的影响。