考虑剪切带细观物理几何特征的Mohr-Coulomb强度准则修正
|
摘要
压缩条件下岩石的失稳破坏与剪切局部化带有紧密联系。基于摩擦损伤局部化模型,在应力应变曲线上发现了剪切带与岩石压缩强度的关系,即随剪切带宽度的增加,岩石的峰值强度降低,其峰前与峰后的变形模量也相应减小。总结前人的研究发现,加载速率、温度、吸附气体、矿物颗粒等因素对应力应变曲线的影响趋势,与剪切带对其影响趋势相同。在摩擦损伤局部化模型的基础上,引入黏聚能和剪切带函数对Mohr-Coulomb准则进行修正,将加载速率、温度、吸附气体等复杂因素的影响综合考虑为剪切带的影响,得到含剪切带函数的Mohr-Coulomb强度准则。之后,利用Zhukov公式导出了剪切带函数的细观表达式,指出岩石破坏是剪切带内细观缺陷发生热激活的结果,热激活机制受温度、应变率的直接影响。通过前人实验数据拟合得到剪切带与加载速率、温度的定量关系,与Zhukov公式导出的结果一致。含剪切带的MohrCoulomb强度准则,能够适用于更为复杂的工程地质环境。
There is intimate relation between destabilization failure and shear localization band in rock under uniaxial compression.Based upon frictional damage localization model, the relationship between shear zone and compressive strength of rock was found on the stress-strain curve, that is, with the increase of shear band width, the peak strength of rock decreased, and the deformation modulus before and after peak decreased correspondingly. It is concluded from previous studies that the loading rate, temperature,adsorption gas, mineral particles and other factors have the same influence on the stress-strain curve as the shear zone. On the basis of the friction damage localization model, the Mohr-Coulomb criterion was amended by introducing the cohesion energy and shear band function, and the influence of complex factors such as loading rate, temperature and adsorption gas was comprehensively considered as the influence of shear band, and the mohr-coulomb strength criterion with shear band function was obtained. After that, the mesoscopic expression of shear zone function is derived by using Zhukov formula. It is pointed out that rock failure is the result of thermal activation of mesoscopic defects in shear zone, and the thermal activation mechanism is directly affected by temperature and strain rate. The quantitative relationship between shear zone and loading rate and temperature was obtained by fitting the experimental data of previous experiments, which was consistent with the result of Zhukov formula.Mohr-Coulomb strength criterion with shear zone can be applied to more complex engineering geological environment.
There is intimate relation between destabilization failure and shear localization band in rock under uniaxial compression.Based upon frictional damage localization model, the relationship between shear zone and compressive strength of rock was found on the stress-strain curve, that is, with the increase of shear band width, the peak strength of rock decreased, and the deformation modulus before and after peak decreased correspondingly. It is concluded from previous studies that the loading rate, temperature,adsorption gas, mineral particles and other factors have the same influence on the stress-strain curve as the shear zone. On the basis of the friction damage localization model, the Mohr-Coulomb criterion was amended by introducing the cohesion energy and shear band function, and the influence of complex factors such as loading rate, temperature and adsorption gas was comprehensively considered as the influence of shear band, and the mohr-coulomb strength criterion with shear band function was obtained. After that, the mesoscopic expression of shear zone function is derived by using Zhukov formula. It is pointed out that rock failure is the result of thermal activation of mesoscopic defects in shear zone, and the thermal activation mechanism is directly affected by temperature and strain rate. The quantitative relationship between shear zone and loading rate and temperature was obtained by fitting the experimental data of previous experiments, which was consistent with the result of Zhukov formula.Mohr-Coulomb strength criterion with shear zone can be applied to more complex engineering geological environment.
引文
[1]杨雪强,庄心善,胡其志.修正的莫尔-库仑岩石强度准则[C]∥岩石力学新进展与西部开发中的岩土工程问题-中国岩石力学与工程学会学术大会论文集.北京:中国岩石力学与工程学会,2002:214-217.
[2]石寒.修正的莫尔-库仑理论的解析和验证[J].岩土力学,2007,28(7):1491-1494.
[3]郑颖人.岩土数值极限分析方法的发展与应用[J].岩石力学与工程学报,2012,31(7):1297-1316.
[4]昝月稳,俞茂宏.岩石广义非线性统一强度理论[J].西南交通大学学报,2013,48(4):616-623.
[5]唐春安,张永彬.岩体间隔破裂机制及演化规律初探[J].岩石力学与工程学报,2008(7):1362-1369.
[6]张文佑.断块构造导论[M].北京:石油工业出版社,1984.
[7] Jerome Fortin, Sergei Stanchits. Georg Dresen. et al. Acoustic emissions monitoring during inelastic deformation of porous sandstone:comparison of three modes of deformation[J]. Pure appl. geophys, 2009, 166(9):823.
[8] Zhou G L, Tham L G, Lee P K K, et al. A phenomenological constitutive model for rocks with shear failure mode[J]. International Journal for Numerical and Analytical Methods in Geomachanics, 2001, 25(4):391.
[9]张平,李宁,贺若兰.含裂隙类岩石材料的局部化渐进破损模型研究[J].岩石力学与工程学报,2006,25(10):2043-2050.
[10]邓绪彪,魏思民,宋晓焱.岩石类材料摩擦局部化损伤本构关系研究[J].中国矿业大学学报,2013,42(3):471-476.
[11]戚承志,钱七虎.岩石等脆性材料动力强度依赖应变率的物理机制[J].岩石力学与工程学报,2003,22(2):177-181.
[12]蒋海昆,张流,周永胜.不同温度条件下花岗岩变形破坏及声发射时序特征[J].地震,2000,20(3):87.
[13]徐小丽.温度载荷作用下花岗岩力学性质演化及其微观机制研究[D].徐州:中国矿业大学,2008.
[14]席道瑛,谢端,张毅,等.加载速率对岩石力学性质及声发射率的影响[C]∥第四届全国岩石动力学学术会议论文选集.北京:中国岩石力学与工程学会岩石动力学专业委员会,1994.
[15]梁昌玉,李晓,张辉,等.中低应变率范围内花岗岩单轴压缩特性的尺寸效应研究[J].岩石力学与工程学报,2013,32(3):528-536.
[16]左建平,周宏伟,谢和平,等.温度和应力耦合作用下砂岩破坏的细观试验研究[J].岩土力学,2008,29(6):1477-1482.
[17]左建平,周宏伟,方园,等.甘肃北山地区深部花岗岩的热开裂试验研究[J].岩石力学与工程学报,2011,30(6):1107-1115.
[2]石寒.修正的莫尔-库仑理论的解析和验证[J].岩土力学,2007,28(7):1491-1494.
[3]郑颖人.岩土数值极限分析方法的发展与应用[J].岩石力学与工程学报,2012,31(7):1297-1316.
[4]昝月稳,俞茂宏.岩石广义非线性统一强度理论[J].西南交通大学学报,2013,48(4):616-623.
[5]唐春安,张永彬.岩体间隔破裂机制及演化规律初探[J].岩石力学与工程学报,2008(7):1362-1369.
[6]张文佑.断块构造导论[M].北京:石油工业出版社,1984.
[7] Jerome Fortin, Sergei Stanchits. Georg Dresen. et al. Acoustic emissions monitoring during inelastic deformation of porous sandstone:comparison of three modes of deformation[J]. Pure appl. geophys, 2009, 166(9):823.
[8] Zhou G L, Tham L G, Lee P K K, et al. A phenomenological constitutive model for rocks with shear failure mode[J]. International Journal for Numerical and Analytical Methods in Geomachanics, 2001, 25(4):391.
[9]张平,李宁,贺若兰.含裂隙类岩石材料的局部化渐进破损模型研究[J].岩石力学与工程学报,2006,25(10):2043-2050.
[10]邓绪彪,魏思民,宋晓焱.岩石类材料摩擦局部化损伤本构关系研究[J].中国矿业大学学报,2013,42(3):471-476.
[11]戚承志,钱七虎.岩石等脆性材料动力强度依赖应变率的物理机制[J].岩石力学与工程学报,2003,22(2):177-181.
[12]蒋海昆,张流,周永胜.不同温度条件下花岗岩变形破坏及声发射时序特征[J].地震,2000,20(3):87.
[13]徐小丽.温度载荷作用下花岗岩力学性质演化及其微观机制研究[D].徐州:中国矿业大学,2008.
[14]席道瑛,谢端,张毅,等.加载速率对岩石力学性质及声发射率的影响[C]∥第四届全国岩石动力学学术会议论文选集.北京:中国岩石力学与工程学会岩石动力学专业委员会,1994.
[15]梁昌玉,李晓,张辉,等.中低应变率范围内花岗岩单轴压缩特性的尺寸效应研究[J].岩石力学与工程学报,2013,32(3):528-536.
[16]左建平,周宏伟,谢和平,等.温度和应力耦合作用下砂岩破坏的细观试验研究[J].岩土力学,2008,29(6):1477-1482.
[17]左建平,周宏伟,方园,等.甘肃北山地区深部花岗岩的热开裂试验研究[J].岩石力学与工程学报,2011,30(6):1107-1115.