考虑节理倾角的岩体损伤本构模型及强度准则

doi:10.13722/j.cnki.jrme.2018.0496

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摘要针对不同倾角单一贯通节理岩体，提出了初始节理损伤、荷载损伤和总损伤的概念；利用损伤力学理论，综合考虑岩体结构效应与荷载耦合作用，建立节理岩体损伤演化模型及损伤本构模型；基于多元函数全微分法则，构建了考虑节理倾角影响的节理岩体强度准则。然后对模型进行验证分析，结果表明：所建立的模型理论曲线与实测曲线高度吻合，验证了模型的正确性；初始节理损伤随节理倾角先增大后减小，总体呈现倒“U”型分布规律；初始节理损伤最大值与最小值之比达到2.13，表明节理倾角对节理岩体初始损伤影响较大；总损伤演化曲线随节理倾角增大先缓慢上升，然后快速上升，最后又缓慢上升趋于1，总体呈“S”型分布规律；总损伤率随应变增加先增大后减小，总体呈现正态分布规律；总损伤率随节理倾角先减小后增大，总体呈“U”型分布规律；随围压增大，总损伤和总损伤率均有一定的减小，表明围压对损伤演化具有一定的抑制作用。

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关键词 ：岩石力学, 节理岩体, 初始节理损伤, 荷载损伤, 损伤本构模型, 强度准则

Abstract：For the single continuous jointed rock mass with different dip angles，the concepts of initial joint damage，load damage and total damage were proposed. Based on the damage mechanics，a damage evolution model and a damage constitutive model were established considering the coupling of structural effect and loading. The method of total differential was employed to establish the strength criterion of jointed rock mass considering the effect of the dip angle of joints. The models were verified and analyzed. The theoretical curves of the models constructed in this paper agree with the experimental result，which verifies the correctness of the models. The initial joint damage shows an inverted U-type distribution that increases first and then decreases with the increase of the dip angle of joints. The ratio of the maximum to minimum values of the initial joint damage reaches 2.13，indicating that the dip angle of joints has a great influence on the initial damage of the jointed rock mass. The total damage curve shows an S-type distribution that rises slowly first，then rises rapidly and finally rises slowly to 1 with the increase of the dip angle of joints. The total damage rate curve shows a normal distribution that increases first and then decreases with the increase of the strain and a U-type distribution that decreases first and then increases with the increase of the dip angle of joints. The total damage and total damage rate decrease with the increase of confining pressure，indicating that the confining pressure has an inhibitory effect on the damage evolution.

Key words： rock mechanics jointed rock mass initial jointed damage load damage damage constitutive model strength criterion

引用本文:

汪杰1，2，宋卫东1，2，付建新1，2. 考虑节理倾角的岩体损伤本构模型及强度准则[J]. 岩石力学与工程学报, 2018, 37(10): 2253-2263.
WANG Jie1，2，SONG Weidong1，2，FU Jianxin1，2. A damage constitutive model and strength criterion of rock mass considering the dip angle of joints. , 2018, 37(10): 2253-2263.

链接本文:

http://www.rockmech.org/CN/10.13722/j.cnki.jrme.2018.0496 或 http://www.rockmech.org/CN/Y2018/V37/I10/2253

[3]	AMIT K V，SINGH T N. Modeling of a jointed rock mass under triaxial conditions[J]. Arabian Journal of Geosciences，2010，3(1)：91-103.
[5]	CHIU C C，WENG M C，HUANG T H. Modeling rock joint behavior using a rough-joint model[J]. International Journal of Rock Mechanics and Mining Sciences，2016，89(11)：14-25.
[7]	刘红岩，吕淑然，张力民. 基于组合模型法的贯通节理岩体动态损伤本构模型[J]. 岩土工程学报，2014，36(10)：1 814-1 821.(LIU Hongyan，LV Shuran，ZHANG Limin. Dynamic damage constitutive model for persistent jointed rock mass based on combination model method[J]. Chinese Journal of Geotechnical Engineering，2014，36(10)：1 814-1 821.(in Chinese))
[10]	刘红岩，黄妤诗，李楷兵，等. 预制节理岩体试件强度及破坏模式的试验研究[J]. 岩土力学，2013，34(5)：1 235-1 241+1 246.(LIU Hongyan，HUANG Yushi，LI Kaibing，et al. Test study of strength and failure mode of pre-existing jointed rock mass[J]. Rock and Soil Mechanics，2013，34(5)：1 235-1 241+1 246.(in Chinese))
[13]	黄书岭，丁秀丽，邬爱清，等. 层状岩体多节理本构模型与试验验证[J]. 岩石力学与工程学报，2012，31(8)：1 627-1 635.(HUANG Shuling，DING Xiuli，WU Aiqing，et al. Study of multi-joint constitutive model of layered rockmass and experimental verification[J]. Chinese Journal of Rock Mechanics and Engineering，2012，31(8)： 1 627-1 635.(in Chinese))
[15]	AL-AJMI A M，ZIMMERMAN R W. Relation between the Mogi and the Coulomb failure criteria[J]. International Journal of Rock Mechanics and Mining Sciences，2005，42(3)：431-439.
[4]	MENG J，HUANG J，SLOAN S W，et al. Discrete modelling jointed rock slopes using mathematical programming methods[J]. Computers and Geotechnics，2018，96：189-202.
[25]	张慧梅，杨更社. 冻融荷载耦合作用下岩石损伤力学特性[J]. 工程力学，2011，28(5)：161-165.(ZHANG Huimei，YANG Gengshe. Damage mechanical characteristics of rock under freeze-thaw and load coupling[J]. Engineering Mechanics，2011，28(5)：161-165.(in Chinese))
[2]	LIU X G，ZHU W C，YU Q L，et al. Estimation of the joint roughness coefficient of rock joints by consideration of two-order asperity and its application in double-joint shear tests[J]. Engineering Geology，2017，220：243-255.
[6]	PARASKEVI Y M，ALEXANDROS I S. Multi-jointed stratified hard rock roof analysis and design[J]. International Journal of Rock Mechanics and Mining Sciences，2018，106(6)：96-108.
[9]	孙旭曙，李建林，王乐华，等. 节理岩体超声测试及单轴压缩试验研究[J]. 岩土力学，2014，35(12)：3 473-3 478.(SUN Xushu，LI Jianlin，WANG Lehua，et al. Study of ultrasonic test and uniaxial compression test of jointed rock masses[J]. Rock and Soil Mechanics，2014，35(12)：3 473-3 478.(in Chinese))
[1]	CAO R H，CAO P，LIN H，et al. Failure characteristics of jointed rock-like material containing multi-joints under a compressive-shear test：Experimental and numerical analyses[J]. Archives of Civil and Mechanical Engineering，2018，18(3)：784-798.
[8]	孙旭曙，李建林，王乐华，等. 单一预制节理试件各向异性力学特性试验研究[J]. 岩土力学，2014，35(增1)：29-34+41.(SUN Xushu，LI Jianlin，WANG Lehua，et al，Experimental research on anisotropic mechanical characteristic of samples with single prefabricated joint[J]. Rock and Soil Mechanics，2014，35(Supp.1)：29-34+41.(in Chinese))
[11]	刘红岩，吕淑然，张力民. 基于组合模型法的贯通节理岩体动态损伤本构模型[J]. 岩土工程学报，2014，36(10)：1 814-1 821.(LIU Hongyan，LV Shuran，ZHANG Limin. Dynamic damage constitutive model for persistent jointed rock mass based on combination model method[J]. Chinese Journal of Geotechnical Engineering，2014，36(10)：1 814-1 821.(in Chinese))
[17]	肖维民，邓荣贵，邹祖银. 柱状节理岩体各向异性强度准则[J]. 岩石力学与工程学报，2015，34(11)：2 205-2 214.(XIAO Weimin，DENG Ronggui，ZOU Zuyin. Anisotropic strength criterion for columnar jointed rock masses[J]. Chinese Journal of Rock Mechanics and Engineering，2015，34(11)：2 205-2 214.(in Chinese))
[18]	陈健云，范书立，徐强，等. 考虑岩体节理分布特性的各向异性强度准则[J]. 岩石力学与工程学报，2011，30(2)：313-319.(CHEN Jianyun，FANG Shuli，XU Qiang，et al. Study of anisotropic strength criterion considering joint distribution characteristics of rock mass[J]. Chinese Journal of Rock Mechanics and Engineering，2011，30(2)：313-319.(in Chinese))
[21]	LYDZBA D，PIETRUSZCZAK S，SHAO J F. On anisotropy of stratified rocks：homogenization and fabric tensor approach[J]. Computers and Geotechnics，2003，30(4)：289-302.
[23]	张慧梅，彭川，杨更社，等. 考虑冻融效应的岩石损伤统计强度准则研究[J]. 中国矿业大学学报，2017，46(5)：1 066-1 072. (ZHANG Huimei，PENG Chuan，YANG Gengshe，et al. Study of damage statistical strength criterion of rock considering the effect of freezing and thawing[J]. Journal of China University of Mining and Technology，2017，46(5)：1 066-1 072.(in Chinese))
[12]	袁小清，刘红岩，刘京平. 基于宏细观损伤耦合的非贯通裂隙岩体本构模型[J]. 岩土力学，2015，36(10)：2 804-2 814.(YUAN Xiaoqing，LIU Hongyan，LIU Jingping. Constitutive model of rock mass with non-persistent joints based on coupling macroscopic and mesoscopic damages[J]. Rock and Soil Mechanics，2015，36(10)： 2 804-2 814. (in Chinese))
[14]	刘红岩，李俊峰，裴小龙. 单轴压缩下断续节理岩体动态损伤本构模型[J]. 爆炸与冲击，2018，38(2)：316-323.(LIU Hongyan，LI Junfeng，PEI Xiaolong. A dynamic damage constitutive model for rockmass with intermittent joints under uniaxial compression[J]. Explosion and Shock Waves，2018，38(2)：316-323.(in Chinese))
[16]	AL-AJMI A M，ZIMMERMAN R W. Stability analysis of vertical boreholes using the Mogi-Coulomb failure criteria[J]. International Journal of Rock Mechanics and Mining Sciences，2006，43(8)：1 200-1 211.
[19]	CAZACU O，CRISTESCU N D，SHAO J F，et al. A new failure criterion for transversely isotropic rocks[J]. International Journal of Rock Mechanics and Mining Sciences，1998，35(1)：89-103.
[24]	张慧梅，杨更社. 冻融与荷载耦合作用下岩石损伤模型的研究[J]. 岩石力学与工程学报，2010，29(3)：471-476.(ZHANG Huimei，YANG Gengshe. Research on damage model of rock under coupling action of freeze-thaw and load[J]. Chinese Journal of Rock Mechanics and Engineering，2010，29(3)：471-476.(in Chinese))
[20]	PIETRUSZCZAK S，MROZ Z. Formulation of anisotropic failure criteria incorporating a microstructure tensor[J]. Computers and Geotechnics，2000，26(2)：105-112.
[22]	杨强，陈新，周维垣. 基于二阶损伤张量的节理岩体各向异性屈服准则[J]. 岩石力学与工程学报，2005，24(8)：1 275-1 282. (YANG Qiang，CHEN Xin，ZHOU Weiyuan. Anisotropic yield criterion for jointed rock masses based on a two-order damage tensor[J]. Chinese Journal of Rock Mechanics and Engineering，2005，24(8)： 1 275-1 282.(in Chinese))