砂岩蠕变损伤模型特性
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摘要
为研究砂岩的蠕变损伤特性,采用TAW-2000电液伺服岩石三轴试验仪对砂岩试样进行了分级加载蠕变试验,通过引入西原体和Kachanov损伤模型,建立了能描述加速蠕变阶段的损伤蠕变模型.试验结果表明,在低应力加载作用下,存在岩石内部裂隙压密和闭合的现象;岩石蠕变特性存在从低应力下的应变硬化逐渐转为高应力下的应变软化的现象;相同围压条件下,高应力下岩石处于稳定蠕变阶段的蠕变速率高于低应力下的蠕变速率.通过Origin软件运用Levenberg Marquardt算法对蠕变损伤模型参数进行辨识,模型曲线与试验曲线吻合度高,验证了所建立蠕变损伤模型的合理性,弥补了西原体难以描述加速蠕变的缺点.
In order to study the creep damage characteristics of sandstone, the TAW-2000 electro-hydraulic servo controlled rock triaxial was used to carry out the graded loading creep test of sandstone samples. By introducing the Xiyuan and the Kachanov damage model, the damage creep model was established to describe the accelerated creep stage. Test results show that the under low stress loading, there are dense and closure of the phenomenon;creep properties of rock exists from low strain of strain hardening gradually turned into high stress strain softening phenomenon of fissures in the rock pressure; under the same confining pressure, rock under pressure in the steady creep stage of creep rate is higher than the low stress creep rate. The parameters of creep damage model are identified by Origin software using the Levenberg Marquardt algorithm. The test curve has a high degree of coincidence, which verifies the rationality of the established creep damage model and makes up for the shortcomings of the Xiyuan body that is difficult to describe the accelerated creep.
In order to study the creep damage characteristics of sandstone, the TAW-2000 electro-hydraulic servo controlled rock triaxial was used to carry out the graded loading creep test of sandstone samples. By introducing the Xiyuan and the Kachanov damage model, the damage creep model was established to describe the accelerated creep stage. Test results show that the under low stress loading, there are dense and closure of the phenomenon;creep properties of rock exists from low strain of strain hardening gradually turned into high stress strain softening phenomenon of fissures in the rock pressure; under the same confining pressure, rock under pressure in the steady creep stage of creep rate is higher than the low stress creep rate. The parameters of creep damage model are identified by Origin software using the Levenberg Marquardt algorithm. The test curve has a high degree of coincidence, which verifies the rationality of the established creep damage model and makes up for the shortcomings of the Xiyuan body that is difficult to describe the accelerated creep.
引文
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[15]曹文贵,袁靖周,王江营,等.考虑加速蠕变的岩石蠕变过程损伤模拟方法[J].湖南大学学报(自然科学版),2013(2):15-20.CAO Wengui,YUAN Jingzhou,WANG Jiangying,et al.Damage simulation method of rock creep process considering accelerated creep[J].Journal of Hunan University(Natural Science Edition),2013(2):15-20.
[16]齐亚静,姜清辉,王志俭,等.改进西原模型的三维蠕变本构方程及其参数辨识[J].岩石力学与工程学报,2012(2):347-355.QI Yajing,JIANG Qinghui,WANG Zhijian,et al.ImProved Nishihara model 3D creeP constitutive equation and its Parameters identification[J].Rock Mechanics and Engineering Journal,2012(2):347-355.
[17]余启华.岩石的流变破坏过程及有限元分析[J].水利学报1985,6(1):55-61.YU Qihua.Rheological failure Process of rock and finite element analysis[J].Journal of Hydraulic Engineering,1985,6(1):55-61.
[2]杨振伟,金爱兵,周喻,等.伯格斯模型参数调试与岩石蠕变特性颗粒流分析[J].岩土力学,2015(1):240-248.YANG Zhenwei,JIN Aibing,ZHOU Yu,et al.Burgess model parameter adjustment and rock creep characteristics particle flow analysis[J].Rock and Soil Mechanics,2015(1):240-248.
[3]王军保,刘新荣,王铁行.基于改进分数阶黏滞体的岩石非线性蠕变模型[J].中南大学学报(自然科学版),2015(4):1461-1467.WANG Junbao,LIU Xinrong,WANG Tiehang.Based on improved fractional adhesion hysteresis nonlinear creep model of rock[J].Central South University Journal(Natural Science Edition),2015(4):1 461-1 467.
[4]陈卫忠,谭贤君,吕森鹏,等.深部软岩大型三轴压缩流变试验及本构模型研究[J].岩石力学与工程学报,2009,13(9):1 735-1 744.CHEN Weizhong,TAN Xianjun,LV Sen Peng,et al.Rheological test and constitutive model of large three axial comPression in deeP soft rock[J].Chinese Journal of Rock Mechanics and Engineering,2009,13(9):1 735-1 744.
[5]宋勇军,雷胜友,刘向科.基于硬化和损伤效应的岩石非线性蠕变模型[J].煤炭学报,2012(S2):287-292.SONG Yongjun,LEI Shengyou,LIU Xiangke.Nonlinear creeP model of rock based on hardening and damage effect[J].Journal of Coal Industry,2012(S2):287-292.
[6]王来贵,赵娜,何峰,等.岩石蠕变损伤模型及其稳定性分析[J].煤炭学报,2009(1):64-68.WANG Laigui,ZHAO Na,HE Feng,et al.The rock creeP damage model and its stability analysis[J].Journal of Coal Science,2009(1):64-68.
[7]朱元广,刘泉声,康永水.考虑温度效应的砂岩蠕变损伤本构关系研究[J].岩石力学与工程报,2011,30(9):1 882-1 888.ZHU Yuanguang,LIU Quansheng,KANG Yongshui.Considering the effect of tem Perature on sandstone cree P damage constitutive relations[J].Rock Mechanics and Engineering Report,2011,30(9):1 882-1 888.
[8]高玮,汪磊,杨大勇.岩石损伤演化的能量方法研究[J].岩石力学与工程学报,2011(S2):4 087-4 092.GAO Wei,WANG Lei,YANG Dayong.The energy method of rock damage evolution of rock mechanics and engineering[J].Chinese Journal of Rock Mechanics and Engineering,2011,(S2):4 087-4 092.
[9]曹文贵,张升,赵明华.基于新型损伤定义的岩石损伤统计本构模型探讨[J].岩土力学,2006(1):41-46.CAO Wengui,ZHANG Sheng,ZHAO Minghua.A statistical constitutive model for rock damage based on the definition of a new tyPe of damage[J].Rock and Soil Mechanics,2006,(1):41-46.
[10]李树春,许江,李克钢.基于初始损伤系数修正的岩石损伤统计本构模型[J].四川大学学报(工程科学版),2007(6):41-44.LI Shuchun,XU Jiang,LI Kegang.Statistical constitutive model for rock damage based on initial damage coefficient[J].Journal of Sichuan University(Engineering Science),2007(6):41-44.
[11]曹瑞琅,贺少辉,韦京,等.基于残余强度修正的岩石损伤软化统计本构模型研究[J].岩土力学,2013(6):1 652-1 660,1 667.CAO Ruilang,HE Shaohui,WEI Jing,et al.Statistical constitutive model for rock damage softening statistical constitutive model based on residual strength modification[J].Rock and Soil Mechanics,2013(6):1 652-1 660,1 667.
[12]KACHANOV M,MONTAGUT E.Interaction of a Crack with Certain Micracrack Arrays[J].Eng.Fract.Mech,1986,25(5-6):625-636.
[13]KACHANOV L M.Introduction to continuum damage Me-chanics[J].Martinus nijhoff publishers,Dordrecht,The Netherlands,1986.
[14]ZIENKIEWICZ O C,CORMEAU I C.Visco-Plasticity-Plasticity and creeP in elastic solides-a unified numerical solution a PProach[J].International Journal for Numerical Method in Engineering,1974,8(4):821-845.
[15]曹文贵,袁靖周,王江营,等.考虑加速蠕变的岩石蠕变过程损伤模拟方法[J].湖南大学学报(自然科学版),2013(2):15-20.CAO Wengui,YUAN Jingzhou,WANG Jiangying,et al.Damage simulation method of rock creep process considering accelerated creep[J].Journal of Hunan University(Natural Science Edition),2013(2):15-20.
[16]齐亚静,姜清辉,王志俭,等.改进西原模型的三维蠕变本构方程及其参数辨识[J].岩石力学与工程学报,2012(2):347-355.QI Yajing,JIANG Qinghui,WANG Zhijian,et al.ImProved Nishihara model 3D creeP constitutive equation and its Parameters identification[J].Rock Mechanics and Engineering Journal,2012(2):347-355.
[17]余启华.岩石的流变破坏过程及有限元分析[J].水利学报1985,6(1):55-61.YU Qihua.Rheological failure Process of rock and finite element analysis[J].Journal of Hydraulic Engineering,1985,6(1):55-61.