含孔隙冻融岩石的损伤本构模型
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摘要
针对现有损伤本构模型所存在的局限与不足,在深入研究孔隙岩石变形破坏特征的前提下,将岩石视为孔隙、损伤与未损伤3部分。以孔隙率反映岩石体积变化,基于weibull随机分布,依据损伤力学原理,确立含孔隙冻融岩石的损伤本构模型,并以理论表达的形式确定模型参数,最后利用冻融岩石的力学特性试验结果验证其合理性。结果表明:推导的本构模型与试验结果吻合较好,且岩石初始阶段时孔隙压密以及应变软化特性都能更好地反映出来;通过峰值条件获得的模型参数表达式,可反映冻融岩石的损伤演化与变形破坏的一般规律,增强了模型的适用性。
With the limitations and deficiencies of the existing damage constitutive model in view, the rock was abstracted as three parts of pore, damage and non-damage based on weibull random distribution, after having investigated the deformation and failure characteristics of porous rock. Due to the fact that porosity reflects the change of rock volume, the damage constitutive model of porous rock under freeze-thaw was established based on the damage mechanics theory, and the model parameters were determined in the form of expressions. Finally, the rationality of the model was verified by using the conventional triaxial freeze-thaw text to obtain mechanical parameters. The results of the study show that: The establishment of constitutive model is reasonable, and the pore pressure and softening properties of the rock can be better reflected in the initial period. The expression of the model parameters obtained through the peak conditions can reflect the law of the damage and the deformation of rock under freeze-thaw, which enhance the applicability of the model.
With the limitations and deficiencies of the existing damage constitutive model in view, the rock was abstracted as three parts of pore, damage and non-damage based on weibull random distribution, after having investigated the deformation and failure characteristics of porous rock. Due to the fact that porosity reflects the change of rock volume, the damage constitutive model of porous rock under freeze-thaw was established based on the damage mechanics theory, and the model parameters were determined in the form of expressions. Finally, the rationality of the model was verified by using the conventional triaxial freeze-thaw text to obtain mechanical parameters. The results of the study show that: The establishment of constitutive model is reasonable, and the pore pressure and softening properties of the rock can be better reflected in the initial period. The expression of the model parameters obtained through the peak conditions can reflect the law of the damage and the deformation of rock under freeze-thaw, which enhance the applicability of the model.
引文
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[9]曹文贵,莫瑞,李翔.基于正态分布的岩石软硬化损伤统计本构模型及其参数确定方法探讨[J].岩土工程学报,2007,29(5):671-675.CAO Wen-gui,MO Rui,LI Xiang.Study on statistical constitutive model and determination of parameters of rock based on normal distribution[J].Chinese Journal of Geotechnical Engineering,2007,29(5):671-675.
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[14]陈有亮,代明星,刘明亮,等.含初始损伤岩石的冻融损伤试验研究[J].力学季刊,2013,34(1):74-80.CHEN You-liang,DAI Ming-xing,LIU Ming-liang,et al.Experimental investigation on freezing damage characteristics of granite with initial damage[J].Chinese Quarterly of Mechanics,2013,34(1):74-80.
[15]刘松明,陈有亮,杜曦,等.酸侵蚀区白砂岩冻融损伤的影响因素研究[J].水资源与水工程学报,2014,25(5):127-131.LIU Song-ming,CHEN You-liang,DU Xi,et al.Study on influence factor of freeing-thawing damage of white sandstone in acid erosion area[J].Journal of Water Research and Water Engineering,2014,25(5):127-131.
[16]张慧梅,谢祥妙,张蒙军,等.真三轴应力状态下岩石损伤本构模型[J].力学与实践,2015,37(1):75-78.ZHANG Hui-mei,XIE Xiang-miao,ZHANG Meng-jun,et al.Damage constitutive model of rock under the true triaxial confinement state[J].Mechanics in Engineering,2015,37(1):75-78.
[17]张慧梅,孟祥振,彭川,等.岩石变形全过程冻融损伤模型及其参数[J].西安科技大学学报,2018,38(2):260-265.ZHANG Hui-mei,MENG Xiang-zhen,PENG Chuan,et al.Freeze-thaw damage model and parameters of rock deformation in whole process[J].Journal of Xi’an University of Science and Technology,2018,38(2):260-265.
[18]ZHOU Shu-wei,XIA Cai-chu,ZHAO Hai-bin,et al.Statistical damage constitutive model for rocks subjected to cyclic stress and cyclic temperature[J].Acta Geophysica,2017,65(5):893-906.
[19]HUANG Shi-bin,LIU Quan-sheng,CHENG Ai-ping,et al.A statistical damage constitutive model under freezethaw and loading for rock and its engineering application[J].Cold Regions Science and Technology,2018,145:142-150.
[2]周辉,李震,朱国金,等.基于岩石统一能量屈服准则的硬岩损伤模型[J].岩土力学,2016,37(3):609-624.ZHOU Hui,LI Zhen,ZHU Guo-jin,et al.A damage model for hard rock based on unified energy yield criterion of rock[J].Rock and Soil Mechanics,2016,37(3):609-624.
[3]Chen X,Liao Z H,Peng X.Deform ability characteristics of jointed rock masses under uniaxial compression[J].International Journal of Mining Sciences and Technology,2012,22(2):213-221.
[4]李树春,许江,王鸿,等.岩石损伤统计本构模型及其参数确定的研究[J].矿业研究与开发,2007,27(2):6-8.LI Shu-chun,XU Jiang,WANG Hong,et al.Research on statistical damage constitutive model of rock and determination of Its parameters[J].Mining Research and Development,2007,27(2):6-8.
[5]张慧梅,雷利娜,杨更社.等围压条件下岩石本构模型及损伤特性[J].中国矿业大学学报,2015,44(1):59-63.ZHANG Hui-mei,LEI Li-na,YANG Geng-she.Characteristic and representative model of rock damage process under constant confining stress[J].Journal of China University of Mining&Technology,2015,44(1):59-63.
[6]徐银花,徐小丽.高温下岩石损伤本构模型研究[J].广西大学学报,2017,42(1):226-235.XU Yin-hua,XU Xiao-li.Study on damage constitutive model of rock under high temperature[J].Journal of Guangxi University,2017,42(1):226-235.
[7]LI Xiang,CAO Wen-gui,SU Yong-hua.A statistical damage constitutive model for softening behavior of rocks[J].Engineering Geology,2012,143-144:1-17.
[8]袁小清,刘红岩,刘京平.冻融荷载耦合作用下节理岩体损伤本构模型[J].岩石力学与工程学报,2015,34(8):1602-1611.YUAN Xiao-qing,LIU Hong-yan,LIU Jing-ping.A damaging model of jointed rock under coupling action of freezing and thawing[J].Chinese Journal of Rock Mechanics and Engineering,2015,34(8):1602-1611.
[9]曹文贵,莫瑞,李翔.基于正态分布的岩石软硬化损伤统计本构模型及其参数确定方法探讨[J].岩土工程学报,2007,29(5):671-675.CAO Wen-gui,MO Rui,LI Xiang.Study on statistical constitutive model and determination of parameters of rock based on normal distribution[J].Chinese Journal of Geotechnical Engineering,2007,29(5):671-675.
[10]温韬,唐辉明,刘佑荣,等.影响因子修正的新型岩石损伤统计本构模型[J].中国矿业大学学报,2016,45(1):141-149.WEN Tao,TANG Hui-ming,LIU You-rong,et al.Newly modified damage statistical constitutive model of rock based on impact factors[J].Journal of China University of Mining&Technology,2016,45(1):141-149.
[11]石崇,蒋新兴,朱珍德,等.基于Hoek-Brown准则的岩石损伤本构模型研究及其参数探讨[J].砂岩力学与工程学报,2011,30(增1):2647-2652.SHI Chong,JIANG Xin-xing,ZHU Zhen-de,et al.Study of rock damage constitutive model and discussion of its parameters based on Hoek-Brown criterion[J].Chinese Journal of Rock Mechanics and Engineering,2011,30(supp1):2647-2652.
[12]曹文贵,李翔,刘峰.裂隙化岩体应变软化损伤本构模型探讨[J].岩石力学与工程学报,2007,26(12):2488-2494.CAO Wen-gui,LI Xiang,LIU Feng.Discussion on strain softening damage constitutive model for fissured rock mass[J].Chinese Journal of Rock Mechanics and Engineering,2007,26(12):2488-2494.
[13]张蒙军.冻融环境下红砂岩物理力学特性试验研究[D].西安:西安科技大学,2015.ZHANG Meng-jun.The experimental study on the physical and mechanical properties of red sandstone under the environment of freeze-thaw environment[D].Xi’an:Xi’an University of Science and Technology,2015.
[14]陈有亮,代明星,刘明亮,等.含初始损伤岩石的冻融损伤试验研究[J].力学季刊,2013,34(1):74-80.CHEN You-liang,DAI Ming-xing,LIU Ming-liang,et al.Experimental investigation on freezing damage characteristics of granite with initial damage[J].Chinese Quarterly of Mechanics,2013,34(1):74-80.
[15]刘松明,陈有亮,杜曦,等.酸侵蚀区白砂岩冻融损伤的影响因素研究[J].水资源与水工程学报,2014,25(5):127-131.LIU Song-ming,CHEN You-liang,DU Xi,et al.Study on influence factor of freeing-thawing damage of white sandstone in acid erosion area[J].Journal of Water Research and Water Engineering,2014,25(5):127-131.
[16]张慧梅,谢祥妙,张蒙军,等.真三轴应力状态下岩石损伤本构模型[J].力学与实践,2015,37(1):75-78.ZHANG Hui-mei,XIE Xiang-miao,ZHANG Meng-jun,et al.Damage constitutive model of rock under the true triaxial confinement state[J].Mechanics in Engineering,2015,37(1):75-78.
[17]张慧梅,孟祥振,彭川,等.岩石变形全过程冻融损伤模型及其参数[J].西安科技大学学报,2018,38(2):260-265.ZHANG Hui-mei,MENG Xiang-zhen,PENG Chuan,et al.Freeze-thaw damage model and parameters of rock deformation in whole process[J].Journal of Xi’an University of Science and Technology,2018,38(2):260-265.
[18]ZHOU Shu-wei,XIA Cai-chu,ZHAO Hai-bin,et al.Statistical damage constitutive model for rocks subjected to cyclic stress and cyclic temperature[J].Acta Geophysica,2017,65(5):893-906.
[19]HUANG Shi-bin,LIU Quan-sheng,CHENG Ai-ping,et al.A statistical damage constitutive model under freezethaw and loading for rock and its engineering application[J].Cold Regions Science and Technology,2018,145:142-150.