双重介质中洞室周边切向应力的各向异性解  

Orthotropic Elastic Analytical Solution for Tangential Stress on Boundary of Circular Cavity in Dual Medium

作　　者：张玉军[1] 张思渊 Zhang Yujun Zhang Siyuan(State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, The Chinese Academy of Scienees, Wuhan 430071, P.R. China)

机构地区：[1]中国科学院武汉岩土力学研究所岩土力学与工程国家重点实验室,武汉430071

出　　处：《地下空间与工程学报》2017年第5期1173-1179,共7页Chinese Journal of Underground Space and Engineering

基　　金：国家自然科学基金(51379201);国家重点基础研究发展计划(973)(2010CB732101)

摘　　要：为快速、批量地进行参数敏感性研究,基于各向异性弹性力学的理论,将具有两组正交节理的双重孔隙-裂隙介质简化为平面正交各向异性无限域,建立了相应的物理方程,得出此无限域中圆形洞室周边切向应力的弹性解析公式。对节理、基岩的几何及弹性常数、侧压力系数、边界荷载作用方向角等因素的应力敏感性进行了分析。其结果表明:节理的间距及刚度、基岩弹性常数的变化对洞周切向应力的影响不大;而侧压力系数、边界荷载作用方向对洞周切向应力的分布及量值有显著的作用;在边界荷载作用方向为某个角度时应力波峰和波谷的差值最大,这意味着此时洞室的稳定性最差。For making parameter sensitivity analyses quick and in quantities,based on the theory of anisotropic elasticity,the dual-pore-fracture medium with two sets of orthogonal joint is simplified into a plane infinite domain of orthotropic material,and the corresponding physical equation is established,thereby the elastic analytical formulas for tangential stress on the boundaries of a circular cavity in the infinite domain are obtained. Then the stress sensitivities of some factors such as the geometry and elastic constants of joint and rock matrix,the lateral pressure coefficient and the acting direction of boundary loading were analyzed. The results show： the influences of changes of joint spacing and stiffness,elastic constants of rock matrix on the tangential stress are not significant; but the lateral pressure coefficient and the acting direction of boundary loading have obvious effects on the distribution and magnitude of the tangential stress; when the acting direction angle of boundary loading is some value,the difference of stress peaks and troughs is the largest,so this means that the stability of cavity is the worst at this time.

关 键 词：双重孔隙-裂隙介质 正交各向异性 圆形洞室 切向应力 解析解 

分 类 号：TU91[建筑科学—建筑理论]