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A triaxial creep model for deep coal considering temperature effect based on fractional derivative
A triaxial creep model for deep coal considering temperature effect based on fractional derivative is proposed for the condition of triaxial stress state. In order to study the temperature effect on creep deformation of deep coal, the thermal damage variable is established based on the Weibull distribution and continuum damage mechanics theory. The thermal damage variable is assigned to the Hooke body and Abel dashpot in order to characterize the effect of temperature on elastic modulus and viscosity coefficient. The temperature-dependent mechanical elements are connected to the creep model, and a three-dimensional creep constitutive equation based on fractional derivative is established. A creep experimental study for deep coal under the constant axial pressure and unloading confining pressure at different temperatures is carried out to characterize the creep deformation of deep coal during mining. The experimental results show that the coal sample with higher temperature has greater axial deformation, but the radial deformation does not change monotonically with the change of temperature. Moreover, the proposed triaxial creep model is validated by experimental data and the nonlinear least square method is used to determine the model parameters. It is indicated that the triaxial creep model can better describe the time-dependent deformation under the effect of temperature, especially the accelerated creep stage of creep. In addition, the sensitivity analysis of key parameters of the proposed model, especially axial stress level and creep temperature, is carried out to further verify the accuracy of the triaxial creep model.
A triaxial creep model for deep coal considering temperature effect based on fractional derivative
A triaxial creep model for deep coal considering temperature effect based on fractional derivative is proposed for the condition of triaxial stress state. In order to study the temperature effect on creep deformation of deep coal, the thermal damage variable is established based on the Weibull distribution and continuum damage mechanics theory. The thermal damage variable is assigned to the Hooke body and Abel dashpot in order to characterize the effect of temperature on elastic modulus and viscosity coefficient. The temperature-dependent mechanical elements are connected to the creep model, and a three-dimensional creep constitutive equation based on fractional derivative is established. A creep experimental study for deep coal under the constant axial pressure and unloading confining pressure at different temperatures is carried out to characterize the creep deformation of deep coal during mining. The experimental results show that the coal sample with higher temperature has greater axial deformation, but the radial deformation does not change monotonically with the change of temperature. Moreover, the proposed triaxial creep model is validated by experimental data and the nonlinear least square method is used to determine the model parameters. It is indicated that the triaxial creep model can better describe the time-dependent deformation under the effect of temperature, especially the accelerated creep stage of creep. In addition, the sensitivity analysis of key parameters of the proposed model, especially axial stress level and creep temperature, is carried out to further verify the accuracy of the triaxial creep model.
A triaxial creep model for deep coal considering temperature effect based on fractional derivative
Acta Geotech.
Zhang, Lei (Autor:in) / Zhou, Hongwei (Autor:in) / Wang, Xiangyu (Autor:in) / Wang, Lei (Autor:in) / Su, Teng (Autor:in) / Wei, Qing (Autor:in) / Deng, Tengfei (Autor:in)
Acta Geotechnica ; 17 ; 1739-1751
01.05.2022
13 pages
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
Creep experiments , Fractional derivative , Sensitivity analysis , Triaxial creep model , Temperature effect Engineering , Geoengineering, Foundations, Hydraulics , Solid Mechanics , Geotechnical Engineering & Applied Earth Sciences , Soil Science & Conservation , Soft and Granular Matter, Complex Fluids and Microfluidics
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