不同温差冻融后砂岩蠕变特性及分数阶损伤模型研究

doi:10.13722/j.cnki.jrme.2021.0064

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Abstract In order to investigate the long-term stability of rock engineering in different alpine environments，the pore structures of quartz sandstone，meta sandstone and red sandstone subjected to freeze-thaw cycles in three different temperature ranges were measured by the nuclear magnetic resonance(NMR) technique，and triaxial creep experiment was conducted on the sandstone after freeze-thaw cycles to study the creep characteristics in different temperature ranges. The results show that the action of freeze-thaw cycles promotes the development of mini-pores and meso-pores in the sandstone，and that the development degree of the pores in the red sandstone and the meta sandstone subjected to cycles is affected by the range of freeze-thaw temperature while the freeze-thaw damage degree of the quartz sandstone is barely related to the freeze-thaw temperature. The creep strain of the sandstone increases with the number of freeze-thaw cycles，while the long-term strength gradually decreases. The freeze-thaw temperature controls the rising amplitude of creep and the decreasing trend of the strength of the sandstone after cycles. Furthermore，the time-dependent mechanical response of the red sandstone to the temperature range is the most prominent，while the accelerated creep of the quartz sandstone and the meta sandstone under failure stress level is prone to occur after cycles in a larger temperature range. A new fractional-order damage creep model was proposed based on the theory of statistics damage and fractional calculus，and the constitutive equation of the model is further extended to a three-dimensional form to simulate the triaxial creep behaviour of the sandstone after freeze-thaw cycles. The bulk modulus and visco-elastic shear modulus of the fractional-order damage creep model generally decrease with the number of freeze-thaw cycles and the temperature range，and the value of the fractional order and the time-dependent damage parameter are related to the creep time and the deformation scale of the sandstone. The great accordance between the fractional-order damage creep model and the experimental data reveals that the model can accurately reflect the whole creep process of the sandstone after cycles in different temperature ranges.

Key words： rock mechanics sandstone freeze-thaw temperature triaxial creep experiment fractional calculus

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	Articles by authors
	CHEN Guoqing1
	WAN Yi1
	SUN Xiang1
	ZHANG Guangze2

Cite this article:

CHEN Guoqing1,WAN Yi1,SUN Xiang1, et al. Research on creep behaviors and fractional order damage model of sandstone subjected to freeze-thaw cycles in different temperature ranges[J]. , 2021, 40(10): 1962-1975.

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https://rockmech.whrsm.ac.cn/EN/10.13722/j.cnki.jrme.2021.0064 OR https://rockmech.whrsm.ac.cn/EN/Y2021/V40/I10/1962

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