Design of an Anthracite Creep Model Based on Fractional Order Theory: Experiments and Simulations

Fractional order theory was used to characterize the accelerated creep phase of a nonlinear model. To accurately describe each stage anthracite model, “gyroscope” unit introduced by combining Heaviside function and damage definition. The effect on determined designing completing three-axis graded-separation loading tests anthracite. test curves were combined classify into five stages: transient deformation, pseudo-acceleration, deceleration, isothermal, acceleration creep. Each with suitable components form fractional-order one-dimensional equation state model extended three dimensions. Levenberg–Marquardt optimization algorithm for fitting origin rheological complete basic parameters. Finite differences performed state, secondary development (NEG) completed based built-in Burgers in FLAC3D. A comparison numerical simulation results shows that is important predicting full