基于Mohr-Coulomb准则的岩石损伤本构模型研究
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摘要
在Mohr-Coulomb准则及岩石微元强度服从对数正态随机分布的基础上,结合岩石三轴应力应变试验曲线,建立了能反应岩石破裂全过程的三维损伤本构模型.在此基础上重点研究了对数正态分布参数对岩石损伤统计本构模型的影响,从而寻找出分布参数与围压σ3的关系.研究结果表明该模型形式简单、参数容易获得、与试验数据符合程度较好.依据该模型理论,在VC++开发环境中为FLAC3D开发出数值计算所需的本构模型动态链接库,然后采用该本构模型进行数值计算,将数值计算结果与理论结果和试验结果进行对比,结果表明开发的本构模型具有一定的合理性,为同类工程应用奠定了基础.
The paper establishes the three-dimensional constitutive model which expresses the rock failure process based on Mohr-Coulomb criterion,rock micro-unit strength conforming to logarithmic normal disturbance,and the three axis stress strain curve of rock.On the basis of this,the paper focuses on the logarithmic normal disturbance parameters influence on constitutive model of rock damage.It finds out that the relationship between the distribution parameters and the confining pressure.Results show that the model has a simple form.Its parameters are easily obtained,and the degree is in a good agreement with the experimental data.The paper develops the constitutive model dynamic link library for FLAC3 Din VC + +,calculated with the model.Comparing with theoretical and tests results,it shows that the constitutive model has certain rationality and can use for similar engineerings.
The paper establishes the three-dimensional constitutive model which expresses the rock failure process based on Mohr-Coulomb criterion,rock micro-unit strength conforming to logarithmic normal disturbance,and the three axis stress strain curve of rock.On the basis of this,the paper focuses on the logarithmic normal disturbance parameters influence on constitutive model of rock damage.It finds out that the relationship between the distribution parameters and the confining pressure.Results show that the model has a simple form.Its parameters are easily obtained,and the degree is in a good agreement with the experimental data.The paper develops the constitutive model dynamic link library for FLAC3 Din VC + +,calculated with the model.Comparing with theoretical and tests results,it shows that the constitutive model has certain rationality and can use for similar engineerings.
引文
[1]刘其建,杨林德,曹文贵.岩石统计损伤本构模型及其参数反演[J].岩石力学与工程学报,2005,24(4):616-621.
[2]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.
[3]Krajcinovicd,Silvamang.Statistical Damage Aspects of the Continuous Damage Theory[J].Int J Solids Structures,1982,18(7):551-562.
[4]唐春安.岩石破裂过程中的灾变[M].北京:煤炭工业出版社,1993.
[5]曹文贵,赵明华,刘成学.基于统计损伤理论的摩尔-库仑岩石强度判据修正方法之研究[J].岩石力学与工程学报,2005,24(14):2403-2408.
[6]蒋维.岩石统计损伤本构模型与圆形硐室岩爆研究[D].长沙:中南大学,2011.
[7]Lemaitre J.A Continuous Damage Mechanics Model for Ductile Fracture[J].J Engng Master Tech,1985,107(1)::83-89.
[8]曹文贵,赵明华,刘成学.基于Weibull分布的岩石损伤软化模型及其修正方法研究[J].岩石力学与工程学报,2004,23(19):3226-3231.
[9]曹文贵,赵明华,刘成学.岩石破裂过程的统计损伤模拟研究[J].岩石力学与工程学报,2003,25(2):184-187.
[10]韦立德,徐卫亚,杨春和,等.具有统计损伤的岩石弹塑性本构模型研究[J].岩石力学与工程学报,2004,23(12):1971-1975.
[11]蓝航,姚建国,张华兴,等.基于FLAC3D的节理岩体采动损伤本构模型的开发及应用[J].岩石力学与工程学报,2008,27(3):572-579.
[12]褚卫江,徐卫亚,杨圣奇,等.基于FLAC3D岩石粘弹性流变模型的二次开发研究[J].岩土力学,2001,11(27):2005-2010.
[13]房智恒,王李管,熊张友.基于Micromine-FLAC3D耦合技术的金属矿采矿扰动影响分析[J].采矿与安全工程学报,2012,6(29):870-875.
[14]杨文东,张强勇,张建国,等.基于FLAC3D的改进Burgers蠕变损伤模型的二次开发研究[J].岩土力学,2010,6(31):1956-1964.
[2]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.
[3]Krajcinovicd,Silvamang.Statistical Damage Aspects of the Continuous Damage Theory[J].Int J Solids Structures,1982,18(7):551-562.
[4]唐春安.岩石破裂过程中的灾变[M].北京:煤炭工业出版社,1993.
[5]曹文贵,赵明华,刘成学.基于统计损伤理论的摩尔-库仑岩石强度判据修正方法之研究[J].岩石力学与工程学报,2005,24(14):2403-2408.
[6]蒋维.岩石统计损伤本构模型与圆形硐室岩爆研究[D].长沙:中南大学,2011.
[7]Lemaitre J.A Continuous Damage Mechanics Model for Ductile Fracture[J].J Engng Master Tech,1985,107(1)::83-89.
[8]曹文贵,赵明华,刘成学.基于Weibull分布的岩石损伤软化模型及其修正方法研究[J].岩石力学与工程学报,2004,23(19):3226-3231.
[9]曹文贵,赵明华,刘成学.岩石破裂过程的统计损伤模拟研究[J].岩石力学与工程学报,2003,25(2):184-187.
[10]韦立德,徐卫亚,杨春和,等.具有统计损伤的岩石弹塑性本构模型研究[J].岩石力学与工程学报,2004,23(12):1971-1975.
[11]蓝航,姚建国,张华兴,等.基于FLAC3D的节理岩体采动损伤本构模型的开发及应用[J].岩石力学与工程学报,2008,27(3):572-579.
[12]褚卫江,徐卫亚,杨圣奇,等.基于FLAC3D岩石粘弹性流变模型的二次开发研究[J].岩土力学,2001,11(27):2005-2010.
[13]房智恒,王李管,熊张友.基于Micromine-FLAC3D耦合技术的金属矿采矿扰动影响分析[J].采矿与安全工程学报,2012,6(29):870-875.
[14]杨文东,张强勇,张建国,等.基于FLAC3D的改进Burgers蠕变损伤模型的二次开发研究[J].岩土力学,2010,6(31):1956-1964.