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为研究隧洞围岩的稳定性,在考虑渗流、剪胀和中间主应力的基础上,依据弹塑性理论和非关联流动法则推导出隧洞围岩应力场和位移场的解析式,分析衬砌反力和洞壁位移的关系,并得到围岩-衬砌特征曲线。结果表明:渗流和中间主应力对隧洞围岩应力场和位移场均有较大的影响,考虑渗流相对于不考虑渗流时,切向应力峰值更大,塑性区半径更小;随着中间主应力的增大,塑性区半径变小,塑性区位移增大;剪胀仅影响围岩位移场,对应力场无影响,剪胀角越大,塑性区位移越大;围岩和衬砌存在相互协调作用的关系,中间主应力越大,最佳衬砌力越小。
In order to study the stability of tunnel surrounding rock, considering the seepage, dilatancy and intermediate principal stress, based on the elasto-plastic theory and non-associated flow rule, the analytical expressions of stress field and displacement field of surrounding rock are deduced, And the relationship between the displacement of the wall and the surrounding rock - lining characteristic curve. The results show that the seepage and intermediate principal stress have great influence on the stress field and displacement field of tunnel surrounding rock. Considering the seepage seepage, the peak value of tangential stress is larger and the radius of plastic zone is smaller. As the stress increases, the radius of the plastic zone becomes smaller and the displacement of the plastic zone increases. The dilatancy only affects the displacement field of surrounding rock and has no effect on the stress field. The larger the dilatancy angle, the greater the plastic zone displacement. Coordination of the role of the middle of the main stress, the smaller the best lining force.