This paper presents a new analytical solution for deep circular tunnels in rock with consideration of disturbed zone, 3D strength and large strain. The rock is assumed to be elastic–brittle–plastic and governed by a 3D Hoek–Brown yield criterion. To take the large displacement around a tunnel into account, the large-strain theory is adopted to determine the displacement of rock in the plastic zone. Based on the equilibrium equation, constitutive law and large-strain theory, the governing equations for the stresses and radial displacement around the tunnel were derived and solved by using MATLAB. The proposed solution was validated by using it to analyze a tunnel and comparing the results with those from numerical analysis using a finite difference code. Finally, extensive parametric studies were performed on tunnels in both poor-quality and good-quality rock masses with respect to stresses and radial displacement. The results indicate that the disturbed zone and the flow rule both have significant effects on the stress and displacement distributions around the tunnel.

中文翻译：

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考虑扰动区、3D强度和大应变的岩石深圆形隧道解析解

本文提出了一种考虑扰动区、3D 强度和大应变的岩石中深圆形隧道的新解析解。岩石被假定为弹性-脆性-塑性，并由 3D Hoek-Brown 屈服准则控制。考虑到隧道周围的大位移，采用大应变理论确定塑性区岩石的位移。基于平衡方程、本构定律和大应变理论，利用MATLAB推导并求解了隧道周围应力和径向位移的控制方程。通过使用它来分析隧道并将结果与​​使用有限差分代码的数值分析的结果进行比较，对所提出的解决方案进行了验证。最后，就应力和径向位移而言，对劣质和优质岩体中的隧道进行了广泛的参数研究。结果表明，扰动区和流动规律对隧道周围的应力和位移分布都有显着影响。