Abstract
The time-dependent behaviour of a rock mass is crucial to the long-term stability of underground engineering projects, such as large tunnels, caverns and roadways. This paper focused on the experimental and theoretical studies of marble creep behaviour considering its initial damage due to excavation damage. Based on the onsite investigation of the creep performance of Jinping marble, detailed creep tests were carried out on damaged marble under different confining stresses, which indicated that damaged marble exhibited more notable creep properties than the intact marble. A new time-dependent creep constitutive model was proposed to characterize the time-dependent mechanical behaviour of damaged marble in terms of fractional derivatives and damage variables by replacing the Newtonian dashpot with the Abel dashpot. Furthermore, this one-dimensional creep equation was extended to a three-dimensional numerical model for analyzing the long-term deformation of hydraulic caverns. The simulation results indicated that the proposed model provided a precise description for the full creep process of marble containing initial damage.
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The authors received the financial supports from the National Natural Science Foundation of China (Grant No. U1765206 and No. 41672314) and Anhui Province Natural Science Foundation (No. 1508085QE101).
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Responsible Editor: Zeynal Abiddin Erguler
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Chen, J., Jiang, Q., Hu, Y. et al. Time-dependent performance of damaged marble and corresponding fractional order creep constitutive model. Arab J Geosci 13, 1150 (2020). https://doi.org/10.1007/s12517-020-06109-9
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DOI: https://doi.org/10.1007/s12517-020-06109-9