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引入一种基于滑移线上非线性本构关系的圆形洞室计算模型,并从这个模型推导得出洞室开挖后应力状态的非连续表达式。在该表达式中围岩的应力分区以及其中的应力值由一个不定的荷载参数控制。通过引入边界条件的方法确定荷载参数,解决了荷载参数不确定的问题。从围岩的应力分布状态确定荷载参数的取值范围,并计算得到不同荷载参数范围内围岩应力分布曲线。将围岩应力状态的解析解与局部剪切应变二维有限元程序的数值解进行比较验证,一致性较好。
A circular cavern calculation model based on the nonlinear constitutive relation of slip line is introduced. Based on this model, the non-continuous expression of stress state after cavern excavation is deduced. The stress partition of the surrounding rock in this expression and its stress value are controlled by an indefinite load parameter. By introducing the boundary conditions to determine the load parameters, the problem of uncertain load parameters is solved. The range of load parameters is determined from the stress distribution of surrounding rock, and the stress distribution curve of surrounding rock in different load parameters is calculated. The analytic solution of the stress state of surrounding rock is compared with the numerical solution of two-dimensional finite element program of local shear strain. The consistency is good.