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为得出圆形巷道围岩弹性应力分布特征,采用复变函数对圆形巷道围岩弹性应力进行解析,得到了与应力函数解法相同的应力场解析表达式,证明了复变函数解法求解巷道围岩应力场的可行性。对圆形巷道边界应力分布规律及沿水平线的应力分布规律进行了分析,结果表明:1)圆形巷道边界的径向应力和剪应力等于0,环向应力集中系数随侧压系数和位置角度变化而变化,与巷道半径无关;2)沿水平线的圆形巷道围岩剪应力等于0,径向应力和环向应力集中系数随侧压力系数和巷道半径变化而变化;3)沿水平线方向,侧压系数对巷道围岩径向应力的影响大于环向应力影响。还分析了侧压系数对巷道围岩应力的影响规律,讨论了侧压系数等于0、大于0小于1、等于1和大于1等4种情况下的巷道边界环向应力分布情况,得出了巷道边界环向应力的拉压区域及环向应力集中系数最大位置。
In order to obtain the elastic stress distribution characteristics of surrounding rock in circular roadway, the complex variable function is used to analyze the elastic stress of surrounding rock in circular roadway. The analytical expression of stress field is obtained, which is the same as stress function method. Feasibility of surrounding rock stress field. The results show that: 1) The radial stress and shear stress at the boundary of circular roadway are equal to 0; the stress concentration factor along the circular roadway varies with the lateral pressure coefficient and the position angle 2) the surrounding rock shear stress of circular roadway along the horizontal line is equal to 0, the radial stress and hoop stress concentration coefficient vary with the lateral pressure coefficient and the radius of the roadway; 3) along the horizontal line direction, The effect of lateral pressure coefficient on radial stress of surrounding rock is greater than that of circumferential stress. The influence of lateral pressure coefficient on the surrounding rock stress is also analyzed. The distribution of circumferential stress on the boundary of the roadway is discussed when the lateral pressure coefficient is equal to 0, greater than 0, less than 1, equal to 1 and greater than 1, The tension-compression zone of hoop stress of the roadway boundary and the maximum position of the circumferential stress concentration factor.