非线性准则下隧道围岩响应的理论和数值分析  

Theoretical and Numerical Analysis of the Response of Rock Mass Surrounding Tunnel Based on the Nonlinear Failure Criterion

作　　者：钟正强[1,2] 彭振斌[1] 彭文祥[1] 

机构地区：[1]中南大学地学与环境工程学院,长沙410083 [2]长沙理工大学土木与建筑学院,长沙410114

出　　处：《科技导报》2009年第20期50-54,共5页Science & Technology Review

基　　金：国家自然科学基金项目(50878212)

摘　　要：采用Hoek-Brown非线性准则描述岩土破坏特征更能反映岩体固有特点和非线性破坏特征,以及岩石强度、结构面组数、所处应力状态对岩体强度的影响。首先,通过理论分析,得到了围岩开挖后应力和变形情况;然后,利用数值计算软件,建立了Hoek-Brown准则下隧道的数值计算方法和计算模型,分析了隧道在开挖情况下的应力变形情况,得到围岩的径向应力、切向应力、剪应变分布、塑性区分布和位移情况,并将数值计算结果与理论计算结果进行对比,结果表明:①隧道开挖引起岩体的扰动,使其从平衡状态转为不平衡状态。随着时间的推移,不平衡力逐渐在岩体中消散均化,岩体的扰动逐渐减小,最终趋于平衡。②数值解均略大于理论解,但二者差别十分微小,从而验证了数值方法的正确性。The Hoek-Brown nonlinear criterion is used to describe the nonlinear failure characteristics of rock mass. The effect of rock strength, structure plane characteristics and stress state on the rock mass strength is studied. In the theoretical analysis, the stress and the deformation of the rock mass are obtained. The numerical calculation method and the calculation model of tunnel based on the Hoek-Brown criterion are established and used to numerically study the stress and deformation in the rock mass surrounding the tunnel after excavation. A comparison is made between the theoretical results and the numerical results, for the radial stress, tangential stress, shear strain distribution, plastic zone distribution and the displacement, with the following conclusions. （1） The excavation of tunnel will cause the disturbance of the surrounding rock mass, turning the equilibrium state into a non-equilibrium state. With time, the unbalanced force will be dissipated to the rock mass and the disturbance in the rock mass will become smaller and finally the state of equilibrium is returned. （2） The results from the numerical analysis is larger than those of theoretical analysis, but the differences is small.

关 键 词：非线性准则 隧道 围岩 理论分析 数值分析 

分 类 号：U451.2[建筑科学—桥梁与隧道工程]