Study on bedding effect and damage constitutive model of slate under compressive dynamic loading
OU Xuefeng1,2,ZHANG Xuemin2,ZHANG Cong2,FENG Han2,ZHOU Xianshun2,ZHAO Hong1
(1. School of Civil Engineering,Changsha University of Science and Technology,Changsha,Hunan 410114,China;
2. School of Civil Engineering,Central South University,Changsha,Hunan 410075,China)
Abstract:To investigate the anisotropic behaviour of layered slate under dynamic loadings,five groups of dip angles(θ = 0°,30°,45°,60° and 90°) of layered slate in Jiangxi Province were tested by the split Hopkinson pressure bar(SHPB). The critical failure mechanical characteristics and failure mechanism of the slate under high strain rates were demonstrated. In addition,a damage constitutive model was established by the component combination model theory,which considers the damage of macroscopic layers. Both experimental and theoretical results illustrates that the peak values of stress-strain curves are different under different dip angles,but the overall trends are similar,including both elastic compression stage,plastic stage,plastic strengthening stage and post-peak curve after reaching the peak value. The bedding plane plays significant role in the failure of the slate except for the case with θ = 0°. The main failure modes are mainly composed by splitting failure through the bedding,shear failure in the bedding direction,slip failure and splitting failure along the bedding. The dynamic damage constitutive models of layered rock mass take the superposition effect of micro-damage and macro-damage of layered rock mass into consideration. Comparing the predicted results with the experimental results,the proposed model can describe the variation of stress-strain curve of layered rock mass under dynamic loadings,and more importantly it agrees well with the peak strength,which is helpful to accurately demonstrate the deformations and failure behaviors of layered slate under high strain rates.
欧雪峰1,2,张学民2,张 聪2,冯 涵2,周贤舜2,赵 虹1. 冲击加载下板岩压缩破坏层理效应及损伤本构模型研究[J]. 岩石力学与工程学报, 2019, 38(S2): 3503-3511.
OU Xuefeng1,2,ZHANG Xuemin2,ZHANG Cong2,FENG Han2,ZHOU Xianshun2,ZHAO Hong1. Study on bedding effect and damage constitutive model of slate under compressive dynamic loading. , 2019, 38(S2): 3503-3511.
[1] RAMAMURTHY T. Strength and modulus responses of anisotropic rocks[C]// Comprehensive Rock Engineering. Pergamon,Oxford:[s. n.],1993:313–329.
[2] TIEN Y M,KUO M C. A failure criterion for transversely isotropic rocks[J]. International Journal of Rock Mechanics and Mining Sciences,2001,38(3):399–412.
[3] 侯 鹏,高 峰,张志镇,等. 黑色页岩力学特性及气体压裂层理效应研究[J]. 岩石力学与工程学报,2016,35(4):670–681.(HOU Peng,GAO Feng,ZHANG Zhizhen,et al. Mechanical property and bedding inclination effect on gas fracturing of black shale[J]. Chinese Journal of Rock Mechanics and Engineering,2016,35(4):670–681.(in Chinese))
[4] 蒋长宝,陈昱霏,尹光志,等. 中间主应力与层理方向对页岩力学和渗透特性影响的试验研究[J]. 岩石力学与工程学报,2017,36(7):1 570–1 578.(JIANG Changbao,CHEN Yufei,YIN Guangzhi,et al. Experimental study on the effect of intermediate principal stress and bedding direction on mechanical properties and permeability of shale[J]. Chinese Journal of Rock Mechanics and Engineering,2017,36(7):1 570–1 578.(in Chinese))
[5] 吕有厂. 层理性页岩断裂韧性的加载速率效应试验研究[J]. 岩石力学与工程学报,2018,37(6):1 359–1 370.(LYU Youchang. Effect of bedding plane direction on fracture toughness of shale under different loading rates[J]. Chinese Journal of Rock Mechanics and Engineering,2018,37(6):1 359–1 370.(in Chinese))
[6] 王兴渝,朱哲明,邱 豪,等. 冲击荷载下层理对页岩内裂纹扩展行为影响规律的研究[J]. 岩石力学与工程学报,2019,38(8):1–15.(WANG Xingyu,ZHU Zheming,QIU Hao,et al. Study of the effect of joints on crack propagation behavior in shale under impacting loads[J]. Chinese Journal of Rock Mechanics and Engineering,2019,38(8):1–15.(in Chinese))
[7] 孙清佩,张志镇,李培超,等. 黑色页岩动载破坏的层理效应及损伤本构模型研究[J]. 岩石力学与工程学报,2019,38(7):1 319– 1 331.(SUN Qingpei,ZHANG Zhizhen,LI Peichao,et al. Study on the bedding effect and damage constitutive model of black shale under dynamic loading[J]. Chinese Journal of Rock Mechanics and Engineering,2019,38(7):1 319–1 331.(in Chinese))
[8] 郑永来,夏颂佑. 岩石黏弹性连续损伤本构模型[J]. 岩石力学与工程学报,1996,15(增1):428–432.(ZHENG Yonglai,XIA Songyou. Viscoelastic damage constitutive model for rock[J]. Chinese Journal of Rock Mechanics and Engineering,1996,15(Supp.1):428–432.(in Chinese))
[9] 单仁亮,薛友松,张 倩. 岩石动态破坏的时效损伤本构模型[J]. 岩石力学与工程学报,2003,22(11):1 771–1 776.(SHAN Renliang, XUE Yousong,ZHANG Qian. Time dependent damage model of rock under dynamic loading[J]. Chinese Journal of Rock Mechanics and Engineering,2003,22(11):1 771–1 776.(in Chinese))
[10] 曹文贵,赵 衡,张 玲,等. 恒应变率下的岩石三轴动态变形过程模拟方法[J]. 岩土工程学报,2010,32(11):1 658–1 664.(CAO Wengui,ZHAO Heng,ZHANG Ling,et al. Simulation method of dynamic triaxial deformation process for rock under invariable strain rate[J]. Journal of Geotechnical Engineering,2010,32(11):1 658–1 664.(in Chinese))
[11] LIU J,LI Y,ZHANG H. Study on shale’s dynamic damage constitutive model based on statistical distribution[J]. Shock and Vibration,2015,33(4):343–351.
[12] 江雅勤,吴帅峰,刘殿书,等. 基于元件组合理论的砂岩动态损伤本构模型[J]. 爆炸与冲击,2018,38(4):827–833.(JIANG Yaqin,WU Shuaifeng,LIU Dianshu,et al. Dynamic damage constitutive model of sandstone based on component combination theory[J]. Explosion and Shock Waves,2018,38(4):827–833.(in Chinese))
[13] LI J C,MA G E,ZHAO J. An equivalent viscoelastic model for rock mass with parallel joints[J]. Journal of Geophysical Research,2010,115(B3):1–10.
[14] 朱道建,杨林德,蔡永昌. 节理岩体复合型多弱面软化模型的研究及实现[J]. 岩土工程学报,2010,32(2):185–191.(ZHU Daojian,YANG Linde,CAI Yongcang. Mixed multi-weakness plane softening model for jointed rockmass[J]. Chinese Journal of Geotechnical Engineering,2010,32(2):185–191.(in Chinese))
[15] 翟 越,赵均海,李寻昌,等. 岩石类材料损伤黏弹塑性动态本构模型研究[J]. 岩石力学与工程学报,2011,30(增2):3 820–3 824. (ZHAI Yue1,ZHAO Junhai,LI Xunchang,et al. Study of damage viscoelasto-plastic dynamic constitutive model of rock materials[J]. Chinese Journal of Rock Mechanics and Engineering,2011,30(Supp.2):3 820–3 824.(in Chinese))
[16] JAEGER J C. Shear failure of anistropic rocks[J]. Geological Magazine,1960,97(1):65–72.
[17] 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 constitutive model of jointed rock mass based on the theory of composite damage[J]. Journal of Geotechnical Engineering,2014,36(10):1 814–1 821.(in Chinese))
[18] 邓正定,王 桢,刘红岩. 基于复合损伤的节理岩体动态本构模型研究[J]. 岩土力学,2015,36(5):1 368–1 374.(DENG Zhengding,WANG Zhen,LIU Hongyan. Dynamic damage constitutive model for persistent jointed rock mass based on combination model method[J]. Rock and Soil Mechanics,2015,36(5):1 368–1 374.(in Chinese))
[19] ZHANG X M,OU X F,GONG F Q,et al. Effects of bedding on the dynamic compressive properties of low anisotropy slate[J]. Rock Mechanics Rock Engineering,2019,52(4):981–990.
[20] GONG F Q,ZHAO G F. Dynamic indirect strength of sandstone under different loading rates[J]. Rock Mechanics Rock Engineering,2014,47(6):2 271–2 278.
[21] 宫凤强,王 进,李夕兵. 岩石压缩特性的率效应与动态增强因子统一模型[J]. 岩石力学与工程学报,2018,37(7):1 586–1 595. (GONG Fengqiang,WANG Jin,LI Xibing. The rate effect of compression characteristics and a unified model of dynamic increasing factor for rock materials[J]. Chinese Journal of Rock Mechanics and Engineering,2018,37(7):1 586–1 595.(in Chinese))
[22] QIU J D,LI D Y,LI X B. Dynamic failure of a phyllite with a low degree of metamorphism under impact Brazilian test[J]. International Journal of Rock Mechanics and Mining Sciences,2017,94:10–17.
[23] DAI F,XIA K,ZUO J P,et al. Static and dynamic flexural strength anisotropy of barre granite[J]. Rock Mechanics Rock Engineering,2013,46(6):1 589–1 602.
[24] 夏才初,孙宗颀. 工程岩体节理力学[M]. 上海:同济大学出版社, 2002:68–87.(XIA Caichu,SUN Zhongqi. Joint mechanics of engineering rock mass[M]. Shanghai:Tongji University Press,2002:68–87.(in Chinese))
[25] 孙广忠. 岩体结构力学[M]. 北京:科学出版社,1988:124–127. (SUN Guangzhong. Structural mechanics of rock mass[M]. Beijing:Science Press,1988:124–127.(in Chinese))