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针对长的圆形巷道,围岩为均质、各向同性的弹性体,基于对数应变,采用变形后的坐标,建立了由应力表示的平衡微分方程和变形协调条件;根据开挖问题的边界条件,采用改进的Eu-lar法提出了该非线性微分方程组的数值求解方法;最后通过算例,根据不同的力学性质参数弹性模量,分析计算了巷道在开挖作用下围岩应力和变形的分布规律与特征,计算结果显示:当相对弹模小于10时,大应变效应十分显著,有明显不同于小应变模型的结果.
For the long round roadway, the surrounding rock is a homogeneous and isotropic elastic body. Based on the logarithmic strain, the equilibrium differential equation and the deformation coordination condition expressed by the stress are established by using the deformed coordinates. According to the excavation problem Boundary conditions, the improved Eu-lar method is proposed to solve the numerical solution of the nonlinear differential equations. Finally, an example is given to analyze the stress of surrounding rock under excavation based on the different moduli of mechanical parameters The results show that when the relative elastic modulus is less than 10, the large strain effect is significant, which is obviously different from the result of the small strain model.