为综合研究冻融循环和非静水压力共同作用下寒区隧道应力分布的规律,考虑寒区隧道冻结围岩的不均匀冻胀特性和冻融循环对围岩力学性能的影响，基于复变函数方法，建立非静水压力作用下寒区隧道冻融圈整体冻胀模型，推导非静水压力作用下寒区隧道应力的弹性解答，对所得解进行对比验证和参数分析，讨论冻融循环次数、不均匀冻胀系数、侧压力系数、冻胀率等因素对寒区隧道应力的影响规律。结果表明： 1）冻胀力随冻融循环次数、不均匀冻胀系数的增加分别增大了89%、26.7%。2）侧压力系数λ对冻胀力有着显著影响，当λ≥1时，冻胀力随方位角的增大而增加；当λ＜1时，冻胀力随方位角的增加而减小。3）4种体积冻胀率参数中对冻胀力影响最大的是水热迁移系数，可使冻胀力增大36.4%。
To comprehensively
investigate the stress distribution patterns of tunnels in cold zone under the
joint action of freezethaw cycle and nonhydrostatic pressure, an overall frost heave model of freezethaw cycle of tunnels in cold zone under nonhydrostatic pressure is established based on compound function
considering the inhomogeneous frostheave
characteristics of the frozen surrounding rocks of the tunnels in cold zone and
the influence of freezethaw cycle on the mechanical
properties of the surrounding rocks. Then the elastic solution of the stress of
the tunnels in cold zone under the action of nonhydrostatic
pressure is deduced, and a comparative validation and parametric analysis are
conducted on the obtained solution. Finally, the influence of the number of
freezethaw cycles, inhomogeneous frostheave coefficient, lateral pressure coefficient, freezing and
expansion rate on the stress of tunnels in the cold zone is discussed. The
results reveal the following: （1） The frostheave force increases by 89% and
26.7% with increasing number of freezethaw cycles and
inhomogeneous frostheave coefficient, respectively. （2） The lateral pressure coefficient 〖WT〗λ 〖WT５《TNR》〗has a considerable impact on the frostheave
force,the frostheave force increases and decreases
with increasing azimuthal angle when 〖WT〗λ〖WT５《TNR》〗≥1 and 〖WT〗λ〖WT５《TNR》〗＜1, respectively. （3） The hydrothermal migration coefficient considerably affects the frostheave force rather than other three volumetric freezing and
expansion rate parameters, which can increase the frostheave force by 36.4%.
