Study on damage statistical constitutive model and stochastic simulation for warm ice-rich frozen silt

The soil parameters and mechanical properties of warm frozen soils often exhibit strongly stochastic properties. In order to study the stochastic characteristics, fifty triaxial compressive tests of warm ice-rich frozen silt have been conducted at the temperature of − 1.5 °C under three different confining pressures, respectively. The strength distribution of warm ice-rich frozen silt is given. A damage statistical constitutive relationship and a stochastic model are proposed based on the probability distributions of parameters and random process theory. Then the stochastic simulation is conducted using Monte-Carlo technique. The calculated results of these two models are well coincident with experimental results.