Abstract:The dynamic strain rate has a great effect on the dynamic deformation process of rocks. Considering the nonlinear effect of dynamic strain rate of rocks on their strength,a nonlinear dynamic strength criterion reflecting the influence of strain rate was developed based on the improvement to the existing dynamic strength criterions of rocks. With the nonlinear dynamic strength criterion proposed and the measurement method of the microelement strength considering the effect of the strain rate of rocks,a dynamic statistical damage constitutive model for rocks was proposed based on the statistical damage theory. A method for determining the model parameters based on the dynamic stress-strain curves from the dynamic triaxial test of rocks was also put forward. A method simulating the dynamic deformation process of rocks was established,which reflect the influence of not only stress state but also strain rate on the dynamic deformation process of rocks. Finally,a comparison between the experimental and theoretical curves of this model and other existing similar models was carried out and the rationality and advantage of the proposed model in this paper were demonstrated.
曹文贵,林星涛,张 超,杨 尚. 基于非线性动态强度准则的岩石动态变形过程统计损伤模拟方法[J]. 岩石力学与工程学报, 2017, 36(4): 794-802.
CAO Wengui,LIN Xingtao,ZHANG Chao,YANG Shang. A statistical damage simulation method of dynamic deformation process for rocks based on nonlinear dynamic strength criterion. , 2017, 36(4): 794-802.
[1] 谢理想,赵光明,孟祥瑞. 岩石在冲击载荷下的过应力本构模型研究[J]. 岩石力学与工程学报,2013,32(增1):2 772–2 781.(XIE Lixiang,ZHAO Guangming,MENG Xiangrui. Research on excess stress constitutive model of rock under impact load[J]. Chinese Journal of Rock Mechanics and Engineering,2013,32(Supp.1):2 772– 2 781.(in Chinese))
[2] KINOSHITA S,SATO K,KAWAKITA M. On the mechanical behavior of rocks under impulsive loading[J]. Bulletin of the Faculty of Engineering Hokkaido University,1977,(83):51–62.
[3] 于亚伦,金科学. 高应变率下的矿岩特性研究[J]. 爆炸与冲击, 1990,(3):266–271.(YU Yalun,JIN Kexue. Studies on the dynamic behavior of magnetites and granite under high strain rates[J]. Explosion and Shock Waves,1990,(3):266–271.(in Chinese))
[4] 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))
[5] 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))
[6] 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]. Chinese Journal of Geotechnical Engineering,2010,32(11):1 658–1 664.(in Chinese))
[7] 杨明辉,赵明华,曹文贵. 基于统计理论的岩石动态损伤本构模型研究[J]. 武汉理工大学学报,2007,29(4):95–98.(YANG Minghui,ZHAO Minghua,CAO Wengui. Research on damage constitutive model of rock under dynamical load based on statistical theory[J]. Journal of Wuhan University of Technology,2007,29(4):95–98.(in Chinese))
[8] 刘军忠,徐金余,吕晓聪,等. 围压下岩石的冲击力学行为及动态统计损伤本构模型的研究[J]. 工程力学,2012,29(1):55–63.(LIU Junzhong,XU Jinyu,LU Xiaocong,et al. Study on dynamic behavior and damage constitutive model of rock under impact loading with confining pressure[J]. Engineering Mechanics,2012,29(1):55–63. (in Chinese))
[9] 赵 坚,李海波. 莫尔–库仑和霍克–布朗强度准则用于评估脆性岩石动态强度的适用性[J]. 岩石力学与工程学报,2003,22(2):171–176.(ZHAO Jian,LI Haibo. Estimating the dynamic strength of rock using Mohr-Coulomb and Hoek-Brown criteria[J]. Chinese Journal of Rock Mechanics and Engineering,2003,22(2):171–176. (in Chinese))
[10] 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,2003,2(2):177–181.(QI Chengzhi,QIAN Qihu. Physical mechanism of dependence of material strength on strain rate for rock-like material[J]. Chinese Journal of Rock Mechanics and Engineering,2003,22(2):177–181.(in Chinese))
[11] 钱七虎,戚承志. 岩石、岩体的动力强度与动力破坏准则[J]. 同济大学学报:自然科学版,2008,36(12):1 599–1 605.(QIAN Qihu,QI Chengzhi. Dynamic strength and dynamic fracture criteria of rock and rock mass[J]. Journal of Tongji University:Natural Science,2008,36(12):1 599–1 605.(in Chinese))
[12] 卢志堂,王志亮. 中高应变率下花岗岩动力特性三轴试验研究[J]. 岩土工程学报,2016,38(6):1 087–1 094.(LU Zhitang,WANG Zhiliang. Triaxial tests on dynamic properties of granite under intermediate and high strain rates[J]. Chinese Journal of Geotechnical Engineering,2016,38(6):1 087–1 094.(in Chinese))
[13] 方 秦,阮 征,翟超辰,等. 围压与温度共同作用下盐岩的SHPB试验及数值分析[J]. 岩石力学与工程学报,2012,31(9):1 756– 1 765.(FANG Qin,RUAN Zheng,ZHAI Chaochen,et al. Split Hopkinson pressure bar test and numerical analysis of salt rock under confining pressure and temperature[J]. Chinese Journal of Rock Mechanics and Engineering,2012,31(9):1 756–1 765.(in Chinese))
[14] KRAJCINOVIC D,SILVA M A G. Statistical aspects of the continuous damage theory[J]. International Journal of Solids and Structures,1982,18(7):551–562.
[15] 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.(CAO Wengui,FANG Zulie,TANG Xuejun. A study of statistical constitutive model for soft and damage rocks[J]. Chinese Journal of Rock Mechanics and Engineering,1998,17(6):628–633.(in Chinese))
[16] LI X,CAO W G,SU Y H. A statistical damage constitutive model for softening behavior of rocks[J]. Engineering Geology,2012,143/144:1–17.
[17] LEMAITRE J. How to use damage mechanics[J]. Nuclear Engineering and Design,1984,80(2):233–245.