Statistical Damage Constitutive Model for Warm Frozen Clay Considering Effect of Damage Threshold

Like most geotechnical materials, frozen clay is a kind of multiphase particulate composite, which makes the mechanical properties and behaviors show great uncertainty and randomness, for that reason, it is more rational to investigate constitutive relationship of frozen soil using a probabilistic approach rather than a deterministic approach. This research cites previous uniaxial experimental data and theoretical results of two kinds of permafrost for the three temperature conditions. Based on Mohr-Coulomb failure criterion of geotechnical materials and rock damage model, a new statistical damage constitutive model considering the effect of damage threshold is introduced. Finally, through a series of fitting analysis and compared with previous models, it turns out that the new model proposed by this paper can be better close to the test results and reflect the characteristics of deformation for both the warm frozen clay and warm ice-rich frozen clay. Particularly in the elastic stage and the post-peak stage, the experimental and theoretical curves are much closer.