It is very important to master the influence of creep characteristics on artificial frozen soil to the engineering safety under construction of freezing method. For the creep,the integer order calculus constitutive relation of artificial frozen soil needs too many components and has other disadvantages,replaced the serial mode of Burgers model with fractional oder derivative function model,fractional order derivative Burgers creep model was constructed to simulate the steady stage of creep. Connected acceleration element in the fractional order derivative Burgers model,the fractional order derivative acceleration Burger creep model to simulate the acceleration stage of creep was constructed. By comparing the result of fractional order derivative Burgers creep model with trial value,the established creep model preferably reflected each stage of creep process of artificial frozen soil. Fractional order derivative Burgers model for artificial frozen soil was a new method for artificial frozen soil creep calculation.
[3] Koeller R C. Applications of Fractional Calculus to the Theory ofViscoelasticity[J]. Journal of Applied Mechanics,1984, 51:299-307.
[4] Oldham K B,Spanier J. The Fractional Calculus[M]. NewYork: Academic Press, 1974.
[5] Schiessel H, Metzker R, Blumen A, et al. GeneralizedViscoelastic Models: Their Fractional Equations with Solutions[J]. Journal of Physics A: Mathematical and General,1995,28(23): 6567-6584.