岩石循环加卸载作用下能量的演化规律
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摘要
基于循环加卸载试验,使用数据处理软件计算得出滞回环的面积,对滞回环与循环次数的相关性进行分析,得到了关于循环次数与滞回环的拟合公式。利用拟合公式计算得到了第1次加卸载的耗散能,进而对耗散能、弹性能、塑性能之间的关系进行了分析和研究。结果表明:随着循环次数的增加,滞回环位置逐渐右移,考虑为第1次加卸载产生耗散能后,岩石的弹性能、耗散能随着循环次数的增多逐渐递增;岩石的强度呈随机分布,故塑性能随循环次数增多并无固定变化趋势;随着循环次数的增多,卸载后可恢复的裂隙之间的摩擦力逐渐减小,其弹性应变需要的能量也随之减小。
Based on cyclic loading and unloading tests, the size of hysteresis loop area is calculated by data processing software,and the correlation between hysteresis loop and cycle number is analyzed, and the fitting formula of cycle number and hysteresis loop is fitted by data processing. The relationship between dissipation energy, elastic energy and plastic property is analyzed by using the fitting formula. The position of hysteresis loop moves to the right with the increase of cycle times. The elastic energy dissipation energy of rock increases with the increase of cycle times after the first loading and unloading, and the plastic energy has no fixed tendency with the increase of cycles because the strength of rock is randomly distributed. The friction between recoverable cracks decreases gradually and the energy required by elastic strain decreases gradually with the increase of cycle times.
Based on cyclic loading and unloading tests, the size of hysteresis loop area is calculated by data processing software,and the correlation between hysteresis loop and cycle number is analyzed, and the fitting formula of cycle number and hysteresis loop is fitted by data processing. The relationship between dissipation energy, elastic energy and plastic property is analyzed by using the fitting formula. The position of hysteresis loop moves to the right with the increase of cycle times. The elastic energy dissipation energy of rock increases with the increase of cycle times after the first loading and unloading, and the plastic energy has no fixed tendency with the increase of cycles because the strength of rock is randomly distributed. The friction between recoverable cracks decreases gradually and the energy required by elastic strain decreases gradually with the increase of cycle times.
引文
[1]刘博,李海波,刘亚群.循环剪切荷载作用下岩石节理变形特性试验研究[J].岩土力学,2013,34(9):2475.
[2]葛修润,卢应发.循环荷载作用下岩石疲劳破坏和不可逆变形问题的探讨[J].岩土工程学报,1992,14(3):56-60.
[3]葛修润,蒋宇,卢允德,等.周期荷载作用下岩石疲劳变形特性试验研究[J].岩石力学与工程学报,2003,22(10):1581-1585.
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[5] ZIMMELS Y,KIRZHNER F,KRASOVITSKI B.Design criteria for compressed air storage in hard rock[J].Energy and Environment, 2002, 13(6):85-87.
[6]夏才初,张平阳,周舒威,等.大规模压气储能洞室稳定性和洞周应变分析[J].岩土力学,2014,35(5):1391-1398.
[7]莫海鸿.岩石的循环试验及本构关系的研究[J].岩石力学与工程学报,1988,7(3):215-224.
[8] DEHLER W, LABUZ J F.Stress path testing of an anisotropic sandstone[J]. Journal of Geotechnical and Geoenvironmental Engineering, 2007, 133(1):116.
[9]刘树新,刘长武,韩小刚,等.基于损伤多重分形特征的岩石强度Weibull参数研究[J].岩土工程学报,2011,33(11):1786-1791.
[10]张媛,许江,杨红伟,等.循环荷载作用下围压对砂岩滞回环演化规律的影响[J].岩石力学与工程学报,2011,30(2):320-326.
[11]王鸿,许江,杨秀贵.循环载荷条件下岩石塑性滞回环的演化规率[J].重庆大学学报(自然科学版),2006,29(4):80-82.
[12]肖福坤,申志亮,刘刚,等.循环加卸载中滞回环与弹塑性应变能关系研究[J].岩石力学与工程学报,2014,33(9):1791-1797.
[13]邓华锋,胡玉,李建林,等.循环加卸载过程中砂岩能量耗散演化规律[J].岩石力学与工程学报,2016,35(增1):2869-2875.
[14]张平阳,夏才初,周舒威,等.循环加-卸载岩石本构模型研究[J].岩土力学,2015,36(12):3354-3359.
[15]李西蒙,刘长有,Syd S PENG,等.单轴分级循环加载条件下砂岩疲劳变形特性与损伤模型研究[J].中国矿业大学学报,2017,46(1):8-16.
[16]曹文贵,方祖烈,唐学军.岩石损伤软化统计本构模型之研究[J].岩石力学与工程学报,1998,17(6):628-633.
[17]曹文贵,张升.基于Mohr-Coulomb准则的岩石损伤统计分析方法研究[J].湖南大学学报(自然科学版),2005,32(1):43-47.
[2]葛修润,卢应发.循环荷载作用下岩石疲劳破坏和不可逆变形问题的探讨[J].岩土工程学报,1992,14(3):56-60.
[3]葛修润,蒋宇,卢允德,等.周期荷载作用下岩石疲劳变形特性试验研究[J].岩石力学与工程学报,2003,22(10):1581-1585.
[4]章清叙,葛修润,黄铭,等.周期荷载作用下红砂岩三轴疲劳变形特性试验研究[J].岩石力学与工程学报,2006,25(3):473-478.
[5] ZIMMELS Y,KIRZHNER F,KRASOVITSKI B.Design criteria for compressed air storage in hard rock[J].Energy and Environment, 2002, 13(6):85-87.
[6]夏才初,张平阳,周舒威,等.大规模压气储能洞室稳定性和洞周应变分析[J].岩土力学,2014,35(5):1391-1398.
[7]莫海鸿.岩石的循环试验及本构关系的研究[J].岩石力学与工程学报,1988,7(3):215-224.
[8] DEHLER W, LABUZ J F.Stress path testing of an anisotropic sandstone[J]. Journal of Geotechnical and Geoenvironmental Engineering, 2007, 133(1):116.
[9]刘树新,刘长武,韩小刚,等.基于损伤多重分形特征的岩石强度Weibull参数研究[J].岩土工程学报,2011,33(11):1786-1791.
[10]张媛,许江,杨红伟,等.循环荷载作用下围压对砂岩滞回环演化规律的影响[J].岩石力学与工程学报,2011,30(2):320-326.
[11]王鸿,许江,杨秀贵.循环载荷条件下岩石塑性滞回环的演化规率[J].重庆大学学报(自然科学版),2006,29(4):80-82.
[12]肖福坤,申志亮,刘刚,等.循环加卸载中滞回环与弹塑性应变能关系研究[J].岩石力学与工程学报,2014,33(9):1791-1797.
[13]邓华锋,胡玉,李建林,等.循环加卸载过程中砂岩能量耗散演化规律[J].岩石力学与工程学报,2016,35(增1):2869-2875.
[14]张平阳,夏才初,周舒威,等.循环加-卸载岩石本构模型研究[J].岩土力学,2015,36(12):3354-3359.
[15]李西蒙,刘长有,Syd S PENG,等.单轴分级循环加载条件下砂岩疲劳变形特性与损伤模型研究[J].中国矿业大学学报,2017,46(1):8-16.
[16]曹文贵,方祖烈,唐学军.岩石损伤软化统计本构模型之研究[J].岩石力学与工程学报,1998,17(6):628-633.
[17]曹文贵,张升.基于Mohr-Coulomb准则的岩石损伤统计分析方法研究[J].湖南大学学报(自然科学版),2005,32(1):43-47.