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根据弹性力学中圆孔应力解的方法,利用莫尔-库仑强度准则,推导出了双向不等压应力场载荷作用下圆形巷道围岩塑性区的边界方程。从理论分析和数值模拟对比分析的角度出发,分析了侧压系数、围岩岩性、开挖半径对圆形巷道围岩塑性区的影响。结论表明:双向不等压载荷作用下,圆形巷道围岩较大载荷方向的塑性区尺寸小于较小载荷方向的塑性区尺寸;巷道围岩越坚硬塑性区分布范围越小,围岩为软弱岩层时塑性区呈蝶形分布,围岩为坚硬岩层时,塑性区呈椭圆形分布;巷道开挖半径对巷道围岩塑性区分布范围影响较大,同一角度处的塑性区半径随着巷道半径的增加呈线性增加。
According to the method of stress solution of circular hole in elastic mechanics, the boundary equation of plastic zone of surrounding rock in round roadway is derived under the stress of Mohr - Coulomb. From the theoretical analysis and numerical simulation comparative analysis point of view, the influence of lateral pressure coefficient, surrounding rock lithology and excavation radius on the plastic zone of surrounding rock of circular roadway is analyzed. The results show that the plastic zone size in the larger load direction of surrounding rock is smaller than the plastic zone size in the smaller load direction when the two-way unequal-pressure load is applied. The harder the plastic zone of the surrounding rock is, the smaller the surrounding rock is, The plastic zone in the rock formation is in the shape of a butterfly. When the surrounding rock is a hard rock, the plastic zone is elliptical. The excavation radius of the roadway has a great influence on the distribution range of the plastic zone in the surrounding rock of the roadway. The radius of the plastic zone at the same angle changes with the radius of the roadway The increase is linearly increasing.