A barrier function method based on the fmincon optimization function in MATLAB was used to determine the function to map a tunnel boundary to the unit circle in the complex plane, and a structural failure criterion of the mapping convergence was established based on the reliability theory of underground engineering. The joints were approximated as cracks around the tunnel, the anisotropy of the stress intensity factor due to the crack inclination and position changes was studied, and the modified scoring parameter of the layered joints around the tunnel for the rock geomechanics classification (RMR) was proposed and used at points around the tunnel. The calculation method for the supporting stress was required to balance the bias load. The results showed the following: (1) When taking the structural failure criterion as the convergence condition of the mapping function, the mapping function converged when the mapping accuracy was . (2) The crack with an inclination angle of was the dominant structural plane of the jointed rock mass around the tunnel. The anisotropy of the stress intensity factor at the tip of the mode II crack indicated that the corresponding cracks at the various points around the tunnel had inconsistent influences on the tunnel. The position had the greatest influence, followed by the straight wall area, and then by the top and floor areas. (3) When the crack inclination was equal to the inclination angle of the dominant joint plane, the secondary crack was parallel to the unloading surface of the corresponding tunnel. (4) The bias load formed by the layered joints around the tunnel reduced the stress threshold of the failure of the rib spalling.

中文翻译：

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层状节理岩体中隧道围岩稳定性的复杂分析研究

利用基于MATLAB中fmincon优化函数的屏障函数方法，确定将隧道边界映射到复杂平面中单位圆上的函数，并基于地下可靠性理论建立了映射收敛的结构破坏准则。工程。将该节理近似为隧道周围的裂缝，研究了由裂缝的倾斜度和位置变化引起的应力强度因子的各向异性，并提出了针对岩石地质力学分类（RMR）的修改后的隧道层状节理评分参数。并在隧道周围的地点使用。需要平衡支撑应力的计算方法。结果显示如下：。（2）倾斜角度为是隧道周围节理岩体的主要结构面。II型裂纹尖端应力强度因子的各向异性表明，隧道周围各个点处的相应裂纹对隧道的影响不一致。该位置影响最大，其次是笔直的墙壁区域，然后是顶部和底部区域。（3）当裂纹倾角等于主缝平面的倾角时，次级裂纹平行于相应隧道的卸载面。（4）隧道周围的分层接头形成的偏压力降低了肋剥落破坏的应力阈值。