岩体各向异性与巷道围岩应力分析

Rock Anisotropy and Stress Analysis of Underground Openings

各向异性弹性理论主要研究材料弹性对称性质的确定及弹性问題的解法等两方面内容。本文通过建立各向异性弹性常数的不变量方程,导出一种在非弹性对称坐标系下确定正交各向异性岩体弹性对称性质(主弹性常数及主轴方向)的理论方法.应用摄动理论,本文给出求解正交各向异性体弹性平面问題的摄动解答,并计算出一般巷道孔形围岩附近的应力分布.计算结果表明,各向异性对巷道围岩应力分布状态有显著影响。

Elastic properties and solutions of problems are two main subjects in anisotropic elasticity. By setting up the invariant equations, a theoretical method to determine the elastic properties (the principal constants and principal directions) of orthotropic rock mass under in-elastic-symmetric co ordinate has been given. Applying perturbation theory to anisotropic elasticity, a perturbant solution of orthotropic elastic planar problems are given, and the stress distributions around normal openings are calculated and analysed. It shows that the anisotropic properties of rock mass has a notable influence on the stress distribution around openings.