中文摘要：

针对隧道开挖引起的地层损失现象,将开挖过程简化为圆柱孔收缩问题,借鉴文献[1]关于圆柱孔收缩的计算方法引入临界状态土力学理论,给出了圆柱孔收缩问题的线弹性-完全塑性解析解,并结合隧道开挖的工程特点给出了地层损失比以及地表土体最大沉降与隧道支护压力之间的关系式。将该方法的计算结果与Grant的离心机试验实测结果进行了对比,并通过国内外的工程实例对该方法的计算结果进行了验证,证明计算结果准确合理,可为隧道开挖引起的土体变形分析提供借鉴。

英文摘要：

Tunnel excavation can be simulated by cylindrical cavity contraction due to the comparability between tunnelling and cavity contraction.The linear elastic-perfectly plastic analytical solution is obtained based on the theory of critical state soil mechanics proposed by Yu[1].The relationship between the support pressure and ground loss and the maximum surface settlement is given based on the theory of tunnelling.Comparisons have been made between the computed results of the analytical solution and centrifuge tests results conducted by Grant and observed values in some case histories at home and abroad.The results show that： this study is correct and rational;and the analytical solution can be used for predicting the soil deformation due to tunneling.