Study on creep damage model of soft rock under the influence of dynamic disturbance effect
WANG Zeqi1,HU Bin1,LI Jing1,CHEN Kuikui2,WEI Erjian1,MA Liyao1
(1. School of Resources and Environmental Engineering,Wuhan University of Science and Technology,Wuhan,Hubei 430081,China;2. College of Coal Engineering,Datong University,Datong,Shanxi 037009,China)
Abstract:The dynamic disturbance effect has a major effect on the stability and safety of subsurface geotechnical engineering and slope engineering. In order to account for the effects of dynamic disturbance on creep damage to soft rock,this research presents a novel synergistic damage calculation approach based on the evolution law of viscosity coefficient. In order to characterize the evolution law of creep damage and deformation of soft rock under the influence of dynamic disturbance effect,it accomplishes the quantified expression of the evolution of viscosity coefficient at each stage of creep damage. A one-dimensional creep damage model of soft rock was constructed using the element model approach,based on the unique evolution equation of viscosity coefficient in each stage of soft rock creep under the influence of synergistic damage effect and the enhanced Newtonian body element. Building a three-dimensional creep damage model of soft rock under the influence of the synergistic damage effect,the plastic flow rule was presented on this basis. The suggested one-dimensional and three-dimensional creep damage models were verified for accuracy using the Levenberg-Marquardt optimization algorithm,and the model parameters were set using the soft rock creep test results under the influence of the dynamic disturbance effect. The findings showed that the accelerated creep phase in particular,in the one- and three-dimensional creep damage models,may better represent the time-varying deformation of soft rock brought on by dynamic disturbance effects. The correctness and applicability of the suggested creep damage models were carefully evaluated and examined,and a sensitivity analysis of the important creep damage model parameters was also carried out.
王泽祺1,胡 斌1,李 京1,陈魁奎2,魏二剑1,马利遥1. 动力扰动效应影响下软岩蠕变损伤模型研究[J]. 岩石力学与工程学报, 2024, 43(S1): 3229-3242.
WANG Zeqi1,HU Bin1,LI Jing1,CHEN Kuikui2,WEI Erjian1,MA Liyao1. Study on creep damage model of soft rock under the influence of dynamic disturbance effect. , 2024, 43(S1): 3229-3242.
[1] 孙金山,李正川,刘贵应,等. 间歇性动态剪切作用下泥质夹层剪切流变特性[J]. 煤炭学报,2017,42(7):1 724–1 731.(SUN Jinshan,LI Zhengchuan,LIU Guiying,et al. Rheological characteristic of argillaceous weak intercalation under intermittent dynamic shear loads[J]. Journal of China Coal Society,2017,42(7):1 724–1 731. (in Chinese))
[2] 李 京. 降雨和爆破影响下矿山高边坡软弱夹层流变特性及致滑机制研究[博士学位论文][D]. 武汉:武汉科技大学,2022.(LI Jing. Rheological properties and sliding mechanism of weak interlayer in high slope under the influence of rainfall and blasting[Ph. D. Thesis][D]. Wuhan:Wuhan University of Science and Technology,2022.(in Chinese))
[3] YANG Z,ZHU WC,GUAN K,et al. Influence of dynamic disturbance on rock creep from time,space and energy aspects[J]. Geomatics,Natural Hazards and Risk,2022,13(1):1 065–1 086.
[4] 王青元,刘 杰,王培涛,等. 冲击扰动诱发蠕变岩石加速失稳破坏试验[J]. 岩土力学,2020,41(3):781–788.(WANG Qingyuan,LIU Jie,WANG Peitao,et al. Experimental investigation of accelerated failure of creep rock induced by impact disturbance [J]. Rock and Soil Mechanics,2020,41(3):781–788.(in Chinese))
[5] ZHU W C,LI S H,LI S,et al. Influence of dynamic disturbance on the creep of sandstone:an experimental study[J]. Rock Mechanics and Rock Engineering,2019,52(4):1 023–1 039.
[6] ZHU W C,LI S,NIU L L,et al. Experimental and numerical study on stress relaxation of sandstones disturbed by dynamic loading[J]. Rock Mechanics and Rock Engineering,2016,49(10):3 963–3 982.
[7] LI S H,WANG T,ZHANG F,et al. Experimental study of the dynamic characteristics of sandstone with preexisting creep damage[J]. Mechanics of Time-Dependent Materials,2021,26(4):955–973.
[8] 刘泉声,罗慈友,彭星新,等. 软岩现场流变试验及非线性分数阶蠕变模型[J]. 煤炭学报,2020,45(4):1 348–1 356.(LIU Quansheng,LUO Ciyou,PENG Xingxin,et al. Research on field rheological test and nonlinear fractional derivative creep model of weak rock mass[J]. Journal of China Coal Society,2020,45(4):1 348–1 356.(in Chinese))
[9] 崔国建,张传庆,周 辉,等. 动力扰动作用下多功能岩石结构面剪切试验装置研制与应用研究[J]. 岩土力学,2022,43(6):1 727–1 737.(CUI Guojian,ZHANG Chuanqing,ZHOU Hui,et al. Development and application of multifunctional shear test apparatus for rock discontinuity under dynamic disturbance loading[J]. Rock and Soil Mechanics,2022,43(6):1 727–1 737.(in Chinese))
[10] 于永江,刘 峰,岳宏亮,等. 不同倾角岩体结构面在循环动力扰动下的力学特性[J]. 煤炭学报,2020,45(11):3 748–3 758.(YU Yongjiang,LIU Feng,YUE Hongliang,et al. Mechanical properties of discontinuity in rock mass with different inclination angles under cyclic dynamic disturbance[J]. Journal of China Coal Society,2020,45(11):3 748–3 758.(in Chinese))
[11] 张纲亮. 低应变率动力扰动作用下花岗岩破坏特征的真三轴试验研究[硕士学位论文][D]. 南宁:广西大学,2018.(ZHANG Gangliang. True triaxial test study on failure characteristics of granite under low strain rate dynamic disturbance[M. S. Thesis][D]. Nanning:Guangxi University,2018.(in Chinese))
[12] 叶洲元. 动力扰动下高应力岩石力学特性研究[博士学位论文][D]. 长沙:中南大学,2008. (YE Zhouyuan. Study on mechanical properties of high stress rock under dynamic disturbance[Ph. D. Thesis][D]. Changsha:Central South University,2008.(in Chinese))
[13] 杨哲豪. 动态扰动条件下深部岩石松弛特性试验与本构模型研究[博士学位论文][D]. 泉州:华侨大学,2020.(YANG Zhehao. Experimental study on relaxation characteristics and constitutive model of deep rock under dynamic disturbance[Ph. D. Thesis][D]. Quanzhou:Huaqiao University,2020.(in Chinese))
[14] 陶 明. 高应力岩体的动态加卸荷扰动特征与动力学机制研究[博士学位论文][D]. 长沙:中南大学,2013.(TAO Ming. Study on dynamic loading and unloading disturbance characteristics and dynamic mechanism of high stress rock mass[Ph. D. Thesis][D]. Changsha:Central South University,2013.(in Chinese))
[15] 刘 峰,于永江,曹兰柱,等. 基于扰动因子的软岩扰动蠕变本构模型[J]. 煤炭学报,2018,43(10):2 758–2 764.(LIU Feng,YU Yongjiang,CAO Lanzhu,et al. Constitutive model of soft rock disturbance creep based on disturbance factor[J]. Journal of China Coal Society,2018,43(10):2 758–2 764.(in Chinese))
[16] 黄 明,蒋宇静,王少杰,等. 基于扰动状态概念的软岩蠕变本构模型与试验验证[J]. 固体力学学报,2017,38(6):570–578.(HUANG Ming,JIANG Yujing,WANG Shaojie,et al. Creep constitutive model of soft rock based on disturbed state concept and its experimental verification[J]. Journal of Solid Mechanics,2017,38(6):570–578.(in Chinese))
[17] 杨鹏锦. 周期扰动与静载共同作用下泥岩蠕变损伤规律研究[硕士学位论文][D]. 阜新:辽宁工程技术大学,2019.(YANG Pengjin. Study on creep damage law of mudstone under periodic disturbance and static load[M. S. Thesis][D]. Fuxin:Liaoning Technical University,2019.(in Chinese))
[18] 苏荣华,李 超,马志远. 考虑初始损伤效应的砂岩蠕变扰动特性研究[J]. 中国安全科学学报,2021,31(9):36–43.(SU Ronghua,LI Chao,MA Zhiyuan. Study on creep disturbance characteristics of sandstone considering initial damage effect[J]. Journal of China Safety Science,2021,31(9):36–43.(in Chinese))
[19] 谭园辉. 扰动荷载下含裂隙硬岩的蠕变行为研究[硕士学位论文][D]. 长沙:湖南工业大学,2017.(TAN Yuanhui. Study on creep behavior of hard rock with cracks under disturbed loading[M. S. Thesis][D]. Changsha:Hunan University of Technology,2017.(in Chinese))
[20] 马利遥,胡 斌,刘 霁,等. 冲击扰动下泥页岩块剪切蠕变损伤特性研究[J]. 固体力学学报,2022,43(5):646–657.(MA Liyao,HU Bin,LIU Ji,et al. Study on shear creep damage characteristics of shale block under impact disturbance[J]. Journal of Solid Mechanics,2022,43(5):646–657.(in Chinese))
[21] XIE H P,JU Y,DONG Y L. Discussion about “elastic modulus method” in the classic definition of damage[J]. Medical Principles and Practice,1997,19(2):1–5.
[22] HOU R B,ZHANG K,TAO J,et al. A nonlinear creep damage coupled model for rock considering the effect of initial damage[J]. Rock Mechanics and Rock Engineering,2019,52:1 275–1 285.
[23] WANG J B,LIU X R,HUANG M,et al. A non-stationary viscoelasto-plastic creep model for salt rock[J]. Disaster Advances,2013,6(4):93–101.
[24] 曹树刚,边 金,李 鹏. 岩石蠕变本构关系及改进的西原正夫模型[J]. 岩石力学与工程学报,2002,21(5):632–634.(CAO Shugang,BIAN Jin,LI Peng. Rock creep constitutive relationship and improved Shihara Zhengfu model[J]. Chinese Journal of Rock Mechanics and Engineering,2002,21(5):632–634.(in Chinese))
[25] 阎 岩,王思敬,王恩志. 基于西原模型的变参数蠕变方程[J]. 岩土力学,2010,31(10):3 025–3 035.(YAN Yan,WANG Sijing,WANG Enzhi. Creep equation of variable parameters based on Nishihara model[J]. Rock and Soil Mechanics,2010,31(10):3 025–3 035.(in Chinese))
[26] TANG H,WANG D P,HUANG R Q,et al. A new rock creep model based on variable-order fractional derivatives and continuum damage mechanics[J]. Bulletin of Engineering Geology and the Environment,2018,77:375–383.
[27] ZHOU H W,WANG C P,MISHNAEVSKY L,et al. A fractional derivative approach to full creep regions in salt rock[J]. Mechanics of Time-Dependent Materials,2013,17(3):413–425.
[28] 周瑞鹤,程 桦,蔡海兵,等. 三轴压缩分级卸荷条件下粉砂岩蠕变特性及蠕变模型[J]. 岩石力学与工程学报,2022,41(6):1 136– 1 147.(ZHOU Ruihe,CHENG Hua,CAI Haibing,et al. Creep characteristics and creep model of siltstone under triaxial compression and graded unloading[J]. Chinese Journal of Rock Mechanics and Engineering,2022,41(6):1 136–1 147.(in Chinese))
[29] CHEN B R,ZHAO X J,FENG X T,et al. Time-dependent damage constitutive model for the marble in the Jinping II hydropower station in China[J]. Bulletin of Engineering Geology and the Environment,2014,73(2):499–515.
[30] 王 波,高昌炎,陈学习,等. 岩石流变扰动效应三轴压缩试验研究[J]. 煤炭学报,2018,43(增2):403–411.(WANG Bo,GAO Changyan,CHEN Xuexi,et al. Experiment-al study on rock rheological disturbance effect under triaxial compression[J]. Journal of China Coal Society,2018,43(Supp.2):403–411.(in Chinese))
[31] WANG R F,LI L,SIMON R. A model for describing and predicting the creep strain of rocks from the primary to the tertiary stage[J]. International Journal of Rock Mechanics and Mining Sciences,2019,123:104087.
[32] LIU H Z,XIE H Q,HE J D,et al. Nonlinear creep damage constitutive model for soft rocks[J]. Mechanics of Time-Dependent Materials,2017,21:73–96.
[33] 张亮亮,王晓健,周瑞鹤. 一种新的岩石非线性黏弹塑性蠕变模型研究[J]. 力学季刊,2020,41(1):116–124.(ZHANG Liangliang,WANG Xiaojian,ZHOU Ruihe. A new nonlinear viscoelastic-plastic creep model for rocks[J]. Chinese Quarterly of Mechanics,2020,41(1):116–124.(in Chinese))
[34] YANG S Q,XU P,RANGITH P G,et al. Evaluation of creep mechanical behavior of deep-buried marble under triaxial cyclic loading. Arabian Journal of Geosciences,2015,8(9):6 567–6 582.