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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摘要为研究不同冻融环境下岩石工程的长期稳定性，开展不同温差冻融后石英砂岩、变质砂岩及红砂岩核磁共振检测及三轴蠕变试验，探讨各类砂岩在不同温差冻融作用下的孔隙结构发展规律及蠕变劣化特性。试验结果表明，冻融循环作用促进了砂岩内中小尺寸孔隙的发育扩展，冻融温差范围越大则变质砂岩与红砂岩孔隙的发育程度越高，而石英砂岩对冻融温差的敏感性较弱；随着冻融循环次数的增加，冻融后砂岩的蠕变量随之增加，而长期强度逐渐降低。冻融温差的变化控制着冻融后砂岩蠕变量的上升幅度及强度的下降趋势，红砂岩在不同温差冻融作用下的时效力学响应最为突出，而较大温差冻融后石英砂岩及变质砂岩在破坏应力水平下更易发生加速蠕变。基于统计损伤与分数阶微积分理论，建立能够表征不同温差冻融后砂岩三轴蠕变力学行为的分数阶损伤蠕变模型，模型参数分析表明，体积模量与黏弹性剪切模量具有随冻融循环次数及温差范围的增加而普遍下降的趋势，分数阶阶数及时效损伤参数与砂岩蠕变的时间及变形尺度相关。模型曲线与试验数据的吻合度较高，验证模型能准确描述不同温差冻融后砂岩蠕变全过程力学特性。

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	陈国庆1
	万亿1
	孙祥1
	张广泽2

关键词 ：岩石力学, 砂岩, 冻融温差, 三轴蠕变试验, 分数阶微积分

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

引用本文:

陈国庆1，万亿1，孙祥1，张广泽2. 不同温差冻融后砂岩蠕变特性及分数阶损伤模型研究[J]. 岩石力学与工程学报, 2021, 40(10): 1962-1975.
CHEN Guoqing1，WAN Yi1，SUN Xiang1，ZHANG Guangze2 . Research on creep behaviors and fractional order damage model of sandstone subjected to freeze-thaw cycles in different temperature ranges. , 2021, 40(10): 1962-1975.

链接本文:

http://rockmech.whrsm.ac.cn/CN/10.13722/j.cnki.jrme.2021.0064 或 http://rockmech.whrsm.ac.cn/CN/Y2021/V40/I10/1962

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