Research on Deformation and Instability Law of Surrounding Rock in Tunnels Based on Fractional Derivative Model
Creep deformation will occur in roadway under the action of stress for a long time.In order to explore the instability law of creep deformation,the Newton clay pot is modified into Abel clay pot based on fractional derivative,and the damage variable in the form of negative exponential is introduced,and the fractional Nishihara constitutive model is established.Based on the creep experiments of sandstone in Jinchen Coal Industry No.3 mining area of Jincheng City under different stresses,the validity of the constitutive model is verified.The proposed new model can better describe the deformation law of roadway surrounding rock under long-term mechanical action.
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