Analysis of fractional-order creep constitutive model of frozen reshaped clay
The creep behavior of artificial frozen soil is influenced by the interaction of temperature,moisture,and stress fields.However,traditional rock-soil constitutive models do not account for factors such as tempera-ture and moisture content.To better represent the behavior of frozen soil as a material between an ideal solid and an ideal fluid,this paper introduced the fractional derivative theory to establish a fractional-order creep model for artificial frozen soil affected by the coupling of water,heat,and force fields,based on rock-soil empir-ical models.The effects of temperature and moisture content on the strength and creep characteristics of the fro-zen molded clay were obtained by reshaping the clay in Xi'an coal mine and uniaxial compressive strength and creep tests with different temperature and moisture content.By analyzing the creep curves of frozen reshaped clay under different negative temperatures,moisture contents,and two stress levels,a linear relationship be-tween the lg t-lg ε curve was obtained and the relevant parameters of the fractional creep model of frozen re-shaped clay with temperature and water content rate function were determined.Comparative analysis of the ex-perimental and calculated values of the fractional-order frozen soil creep model shows that the model can effec-tively reflect the changes in creep of frozen soil with temperature and moisture content under different stress levels,which is useful for guiding the design and construction of frozen soil engineering projects.