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均匀地应力场中球形洞室开挖问题可以简化为空间轴对称问题,为分析和评价球形洞室开挖的稳定性,采用有限差分方法对平衡方程与变形协调方程进行离散,将洞室围岩潜在塑性区划分为一系列的球壳,并考虑岩体的应变软化行为,可以得到满足线性Mohr-Coulomb(H-C)准则和非线性Hoek-Brown(H-B)屈服准则的围岩体塑性区范围及相应的应力与变形分布。计算结果表明,随着离散步的增加,数值解逐渐收敛,文中解与已有文献的结果完全吻合,且计算效率更高。对一组强度参数遵循CWFS(黏聚力弱化与摩擦角强化)规律的围岩体内塑性区范围、变形与应力的分布进行了分析,并与常规的应变软化模型的计算结果进行了对比,CWFS模型的结果更合理一些。
The problem of spherical cavity excavation in uniform stress field can be simplified to the problem of space axis symmetry. In order to analyze and evaluate the stability of the excavation of spherical caverns, the finite difference method is used to discretize the equilibrium equation and the deformation coordination equation. The potential plastic zone of rock is divided into a series of spherical shells. Considering the strain softening behavior of rock mass, the range of plastic zone of surrounding rock mass that satisfies the linear Mohr-Coulomb (HC) criterion and the nonlinear Hoek-Brown (HB) And the corresponding stress and deformation distribution. The calculation results show that as the discrete steps increase, the numerical solution converges gradually, and the solution in this paper is completely consistent with the existing literature and the calculation efficiency is higher. The distribution of plastic zone, deformation and stress distribution in surrounding rock mass with CWS (Cohesion Degradation and Friction Angle Reinforcement) law was analyzed and compared with the results of conventional strain softening model. The results of CWFS The result of the model is more reasonable.