Freezing and thawing processes can change the structure of frozen soil and reduce the mechanical properties

thus affecting the stability of engineering infrastructures built in frozen soil. Due to the different settings of freeze-thaw cycles

a large number of experimental results cannot be effectively compared and analyzed. In addition

estimating the soil mechanical characteristics under freeze-thaw action has also become a research difficulty. In this paper

based on the frozen soil genetic creep theory

a spherical indenter is developed

and a freeze-thaw cycle–physical time analogy method is proposed. Using the number of cycles (numbers of freeze-thaw cycles) and the duration time (physical time–minutes)

we can obtain the long-term strength curve family of the frozen soil and mapping the curve family into the same stress space to achieve the normalized strength curve

and thus we can predict the long-term deformation and shear strength. Finally

two soil samples are selected for testing

and the relevant equations for predicting the long-term shear strength are obtained. This method has important theoretical significance for the comparative study on the mechanical behavior of frozen soils under freeze-thaw actions. It also has value for engineering practice and stability analysis of infrastructures built in cold regions.