中文摘要：

采用统一强度理论，根据不同工况下不同的应力状态，正确选择第1主应力，推导考虑衬砌屈服的深埋水工隧洞应力解析解。当选取不同的统一强度理论参数b时，可得到一系列有序的应力场公式、临界压力公式和塑性区半径与内水压力的关系，能适用于更多的材料和结构。通过工程算例，比较本文方法与传统方法的不同，说明考虑第1主应力的变化是正确的，更符合工程实际，并得出统一强度理论参数对衬砌和围岩应力的影响特性，最后根据临界压力给出了公式的适用条件。该结果为水工隧洞的弹塑性应力分析提供理论依据，对工程设计有一定的参考价值。

英文摘要：

With proper choice of the first principal stress according to different stress states in different engineering instances, an analytical solution for stresses around a deep hydraulic tunnel with liner yielding was deduced based on the unified strength theory. Choosing different unified strength theory parameter （b）, a series of orderly stress field, critical pressure and the plastic radius versus the inner hydraulic pressure were obtained, which can be adopted for more materials and structures. The differences were found between this paper＇s method and the traditional method through an engineering case. The results show that it is accurate and more accord with engineering practice to consider the difference of first principal stress. The influence of the unified strength theory parameter is discussed. The applicability of the obtained formulas is gained according to the critical pressures.