偶应力理论的层状岩体洞室数值模拟

传统的等效连续介质理论忽略了梯度应力的影响,未能很好地解释岩体工程中出现的弯曲变形及破坏现象。而引进偶应力及弯曲曲率的Cosserat介质理论考虑了弯曲效应对介质变形特性的影响。首先对基于平面应变问题的Cosserat介质理论以及扩展模型的弹性本构方程进行介绍,再利用快速拉格朗日法FLAC软件对地下洞室工程数值模拟,并将Cosserat法与增设节理单元法进行结果对比。模拟结果不仅能较好地显示层状岩体的弯曲变形,也证明了Cosserat介质扩展模型的有效性和优越性。

A Cosserat Theory-based Numerical Simulation of an Underground Cavern in Layered Rock Mass

Conventional equivalent continuum theory poorly interprets the bending deformations and damage phenomena encountered in rock engineering because the theory ignores the influence of gradient stress.The influence of the bending effect on deformation characteristics of the media has been considered in Cosserat continuum theory which introduces the concepts of coupled stress and bending curvature.The basic principle of Cosserat medium theory and its expanded constitutive model were introduced firstly.Next,a numerical simulation of an underground cavern was carried out using FLAC software.After this,the results of the Cosserat model and explicit joint model were compared.The simulation results not only displayed the bending deformation of layered rock mass well,but also demonstrated the validity and superiority of the Cosserat expanded model.