寒区隧道弹塑性解的分析能为寒区隧道稳定性研究提供依据。为此，考虑围岩不均匀冻胀特性建立弹塑性损伤力学计算模型，基于统一强度理论求解得到寒区隧道弹塑性应力场和位移场统一解，并对所得解进行验证和参数分析。结果表明：忽略围岩塑性损伤及体积冻胀率的寒区隧道弹塑性解偏于保守；考虑不均匀冻胀特性能准确地反映寒区隧道围岩的真实冻胀程度；考虑中间主应力效应能有效发挥冻结围岩的承载潜能；损伤程度比值λ/Ef、体积冻胀率ξV、不均匀冻胀系数k、统一强度理论参数b、初始地应力p0以及位移释放系数η等参数对衬砌上径向应力σf和塑性半径rp影响显著，应合理考虑不同参数在寒区隧道工程中的影响。该研究成果可为寒区隧道工程设计提供理论参考。
The analysis of elasto-plastic solution can provide a basis for the stability research of cold regions tunnel. Therefore, the elasto-plastic damage mechanics calculation model was established by considering the non-uniform frost heave of surrounding rock. The unified analytical solutions of elasto-plastic stress field and displacement field of cold regions tunnel were derived based on the unified strength theory, and the unified solutions were verified and the parameters were analyzed. The results show that, by neglecting plastic damage and volume frost heave ratio of surrounding rock, the elasto-plastic solution of cold regions tunnel tends to be conservative, and the actual frost heave degree of surrounding rock for cold regions tunnel can be more accurately reflected by considering the non-uniform frost heave. In addition, the potential strength of frozen surrounding rock can be effectively improved by considering the intermediate principal stress effect. The radial stress σf of lining and plastic radius rp of tunnel are significantly influenced by parameters such as damage degree ratio λ/Ef, volume frost heaving ratio ξV, coefficient of non-uniform frost heaving k, unified strength theoretical parameter b, initial ground stress p0 and displacement release coefficient η. Hence, the influence of different parameters on tunnel engineering in cold regions should be reasonably analyzed. The research results can provide theoretical reference for engineering design of cold regions tunnel.
