The Fractional Derivative Boggs Creep Model Based On The Strain Energy Theory

Artificial frozen soil is a kind of viscoelastic material, construction of the freezing deformation characteristics of frozen soil is crucial to grasp the safety mine shaft construction. Since 1955, China’s first successful use of freezing shaft sinking method, artificial frozen indigenous method is mainly used to unstable water bearing strata in well drilling engineering construction. With the passage of time, China’s mining scale expands gradually, the mechanization level gradually increased, thus accelerating the speed of the mine to the deep mining Therefore, the deep mining of coal mine is the problem that most coal mining countries have to face at present and in the future. Of deep topsoil of artificial freezing shaft sinking in the process also exposed more and more engineering problems. Among them, the frozen wall deformation caused by the freezing pipe fracture phenomenon has aroused people’s attention. The cause of the above phenomenon is mainly due to the freezing wall with the time of the loss, resulting in a larger creep deformation, so that the freezing pipe deformation caused by bending and lead to the freezing pipe fracture. So, study on the creep properties of artificial frozen soil is necessary for security building wells. This paper is based on the visco elastic plastic constitutive model of frozen soil and the Boggs model of the fractional order derivative of the particle swarm. The results of this paper have important guiding significance not only in theory but also in solving practical engineering problems.Mechanical testing of Frozen Sandy Clay by WDT-100 type microcomputer controlled electro hydraulic servo frozen soil uniaxial testing machine developed by Anhui University Of Science And Technology. On undisturbed soil and remolded soil were different temperatures(-5℃、-10℃、-15℃)and three loading coefficient (0.3σs,0.5σ、0.7σs,σss—Uniaxial compressive strength)under the condition of uniaxial compression test and uniaxial creep test, stress-strain curve and creep curves are obtained, by comparison, we can find that the strength of remolded soil is lower than that of the strength of the undisturbed soil. The undisturbed soil is of the strain softening type, and the reconstituted soil belongs to the strong strain hardening type. Based on traditional Burgers model can describe permafrost accelerated rheological phase of deformation, the use of the properties of fractional order derivative, establish the fractional derivative of Burgers model and based on the strain energy theory model of fractional Gai Burgess. At the same time on fractional derivative of Burgers model and based on the strain energy theory model of fractional Gai Burgess numerical fitting, in the fractional derivative of Burgers model fitting, using particle swarm optimization method for the optimization, it is proved that the particle swarm fractional derivative of Burgers model in fitting the permafrost accelerated rheological process and more.