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洞室开挖后,其周边通常会产生许多随机分布的贯穿裂隙,直接影响洞室围岩稳定,研究随机分布贯穿裂隙岩体的变形及变形特性具有重要意义。基于线弹性理论和线性刚度理论计算岩石和裂隙的位移,用概率的方法建立了随机分布贯穿裂隙岩体变形的计算模型,给出了随机分布贯穿裂隙岩体的等效弹性模量和等效泊松比,研究了岩石和裂隙的材料参数和几何参数对岩体等效弹性模量和等效泊松比的影响。可得如下结论:等效弹性模量和等效泊松比随着岩石弹性模量的增大而增大;等效泊松比随着岩石泊松比的增大而增大;等效弹性模量和等效泊松比随着裂隙法向刚度的增大而增大;随着剪切刚度的增大,等效弹性模量逐渐增大,而等效泊松比则逐渐减少;随着裂隙平均间距的增大,等效弹性模量逐渐减小,等效泊松比在平均倾斜角较小时逐渐增大,在平均倾斜角较大时逐渐减小;随着裂隙平均倾斜角的增大,等效弹性模量先减小后增大,而等效泊松比先增大后减小。模型能较全面地考虑构成岩体的岩石和裂隙的材料参数与几何参数对岩体变形的影响,其结果对研究洞室围岩的变形和工程设计有一定的参考价值。
After the excavation of the cavern, many randomly distributed perforations will be generated in the periphery of the cavern, which will directly affect the stability of the surrounding rock in the cavern. It is of great significance to study the deformation and deformation characteristics of random distributed fractured rock masses. Based on the linear elastic theory and the linear stiffness theory, the displacement of rock and fissure is calculated, and the calculation model of random distribution of fissured rock mass deformation is established by the method of probability. The equivalent elastic modulus and equivalent Poisson ratio. The effects of material parameters and geometrical parameters of rock and fissure on equivalent elastic modulus and equivalent Poisson’s ratio of rock mass are studied. The following conclusions can be drawn: the equivalent elastic modulus and the equivalent Poisson’s ratio increase with the increase of rock elastic modulus; the equivalent Poisson’s ratio increases with the increase of Poisson’s ratio; the equivalent elastic modulus The modulus and equivalent Poisson’s ratio increase with the increase of the normal stiffness of the fracture. With the increase of shear stiffness, the equivalent elastic modulus increases gradually and the equivalent Poisson’s ratio decreases gradually. With the increase of the average crack spacing, the equivalent elastic modulus decreases gradually. The equivalent Poisson’s ratio gradually increases when the average tilt angle is small and decreases gradually when the average tilt angle is larger. With the average tilt angle Increases, the equivalent elastic modulus decreases first and then increases, while the equivalent Poisson’s ratio increases first and then decreases. The model can comprehensively consider the influence of the material parameters and geometrical parameters of the rock and the fractures that make up the rock mass on the deformation of the rock mass. The results have certain reference value for the study of the deformation and engineering design of the surrounding rock of the cavern.