|
|
|
| Long-term strength of anchored jointed rock masses under shear creep-impact loading with constant normal stiffness boundary conditions |
| ZHOU Jianhua1, 2, SONG Yang1*, WANG Heping2, LI Ang1, MAO Jinghan1 |
(1. School of Civil Engineering, Liaoning Technical University, Fuxin, Liaoning 123000, China;
2. College of Railway Engineering, Liaoning Railway Vocational and Technical College, Jinzhou, Liaoning 121000, China) |
|
|
|
|
Abstract To elucidate the long-term shear strength of anchored jointed rock masses (AJRMs) under shear creep-impact conditions, shear creep-impact tests were performed under constant normal stiffness boundary conditions. The failure mechanisms associated with shear and normal creep disturbances in AJRMs were examined across various combinations of joint roughness coefficient (JRC) and impact energy (Q). Moreover, a method for determining long-term strength based on Weibull distribution evaluation was proposed, and a theoretical calculation formula for the long-term strength of AJRMs under impact disturbance was established. The results indicate that normal creep deformation undergoes a sequential process involving asperity climb-induced dilation, asperity damage, and asperity shearing-off, which subsequently accelerates shear creep deformation. The instantaneous shear strain induced by impact loading exhibits a “jump-recovery-accumulation” evolution pattern. Under impact disturbance, the shear steady-state creep-rate curves reveal two distinct evolutionary forms: the “gradual-increase” type and the “stable-sudden-rise” type. Utilizing the Weibull distribution evaluation method with a 50% failure probability, the quantified long-term strength values fall within the reasonable range established by the traditional isochronous stress-strain curve method, with a relative expected error of 5% to 10%. A comparison with the indirect long-term strength determination method validated the parameter selection and rationality of the theoretical calculation model. These findings provide theoretical guidance for long-term instability control and support structure design in deep anchored jointed rock masses.
|
|
|
|
|
|
[1] ZHU W C，NIU L L，LI S H，et al. Creep-impact test of rock：Status-of-the-art and prospect[J]. Journal of Mining and Strata Control Engineering，2019，1(1)：013003.
[2] YIN Q，NIE X X，WU J Y，et al. Experimental study on unloading induced shear performances of 3D saw-tooth rock fractures[J]. International Journal of Mining Science and Technology，2023，33(4)：463–479.
[3] LIU J S，ZHOU N，ZHOU H，et al. Creep damage characteristics and fractional-order model of weakly cemented soft rock[J]. Rock Mechanics and Rock Engineering，2025，58(7)：1–21.
[4] 崔国建，张传庆，陈建林，等. 常法向荷载和常法向刚度条件下不同锚固角度加锚节理岩体的剪切试验研究(英文)[J]. Journal of Central South University，2020，27(3)：937–950.(CUI Guojian，ZHANG Chuanqing，CHEN Jianlin，et al. Effect of bolt inclination angle on shear behavior of bolted joints under CNL and CNS conditions[J]. Journal of Central South University，2020，27(3)：937–950.(in Chinese))
[5] 尹 乾，靖洪文，孟 波，等. 恒定法向刚度条件下三维粗糙裂隙面剪切力学特性[J]. 岩石力学与工程学报，2020，39(11)：2 213–2 225.(YIN Qian，JING Hongwen，MENG Bo，et al. Shear mechanical properties of 3D rough-walled rock surfaces under constant normal stiffness conditions[J]. Chinese Journal of Rock Mechanics and Engineering，2020，39(11)：2 213–2 225.(in Chinese))
[6] GRIGGS D T. Creep of rocks[J]. Journal of Geology，1939，47：225–251.
[7] WAWERSIK W R. Time-dependent behaviour of rock in compression[C]// Advances in rock mechanics：proceedings of the third Congress of the International Society for Rock Mechanics. Denver，Colorado：[s. n.]，1974：357–363.
[8] 徐 平，夏熙伦. 三峡枢纽岩体结构面蠕变模型初步研究[J]. 长江科学院院报，1992，9(1)：42–46.(XUE Ping，XIA Xilun. A study on the creep model of rock mass discontinuity of the three gorges project[J]. Journal of Yangtze River Scientific Research Institute，1992，9(1)：42–46.(in Chinese))
[9] 沈明荣，朱根桥. 规则齿形结构面的蠕变特性试验研究[J]. 岩石力学与工程学报，2004，23(2)：223–226.(SHEN Mingrong，ZHU Genqiao. Testing study on creep characteristic of regularly dentate discontinuity[J]. Chinese Journal of Rock Mechanics and Engineering，2004，23(2)：223–226.(in Chinese))
[10] WANG Z，GU L，ZHANG Q，et al. Influence of initial stress and deformation states on the shear creep behavior of rock discontinuities with different joint roughness coefficients[J]. Rock Mechanics and Rock Engineering，2021，54(11)：5 923–5 936.
[11] GAO Y C，JIANG S，XIE J H，et al. Experimental study on the shear creep characteristics of joints under wetting-drying cycles[J]. International Journal of Rock Mechanics and Mining Sciences，2023，169：105458.
[12] 邓声君，张金海，陈浩林，等. 基于分数阶导数的冻土-结构接触面剪切蠕变模型研究[J]. 岩石力学与工程学报，2024，43(12)：3 070–3080.(DENG Shengjun，ZHANG Jinhai，CHEN Haolin，et al. A shear creep model of the interface between frozen soil and structure based on fractional derivative[J]. Chinese Journal of Rock Mechanics and Engineering，2024，43(12)：3 070–3 080.(in Chinese))
[13] LI Y Q，HUANG D. Mechanical responses and damage model of anchored jointed rock mass under fatigue shear load[J]. International Journal of Geomechanics，2023，23(3)：04022301.
[14] 高延法，肖华强，王 波，等. 岩石流变扰动效应试验及其本构关系研究[J]. 岩石力学与工程学报，2008，27(增1)：3 180–3 185. (GAO Yanfa，XIAO Huaqiang，WANG Bo，et al. A rheological test of sandstone with perturbation effect and its constitutive relationship study[J]. Chinese Journal of Rock Mechanics and Engineering，2008，27(Supp.1)：3 180–3 185.(in Chinese))
[15] 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.
[16] 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))
[17] LUO D N，SU G S，ZHANG G L. True-triaxial experimental study on mechanical behaviours and acoustic emission characteristics of dynamically induced rock failure[J]. Rock Mechanics and Rock Engineering，2020，53(3)：1 205–1 223.
[18] LI S，ZHU W C，NIU L L，et al. Experimental study on creep of double-rock samples disturbed by dynamic impact[J]. International Journal of Rock Mechanics and Mining Sciences，2021，146：104895.
[19] LI S，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，https：// link.springer. com/article/10.1007/s11043–021–09522–z.2022.
[20] 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))
[21] INDRARATNA B，HAQUE A，AZIZ N. Shear behaviour of idealized infilled joints under constant normal stiffness[J]. Geotechnique，1999，49(3)：331–355.
[22] 尹 乾，何满潮，靖洪文，等. 循环动载边界下三维粗糙节理面剪切力学响应研究[J]. 岩石力学与工程学报，2024，43(5)：1 176–1 189. (YIN Qian，HE Manchao，JING Hongwen，et al. Study on shear mechanical responses of three-dimensional rough joint surfaces under cyclic dynamic load boundary conditions[J]. Chinese Journal of Rock Mechanics and Engineering，2024，43(5)：1 176–1 189.(in Chinese))
[23] HAN G S，XIONG F，ZHOU Y S，et al. Research progress on shear characteristics of rock joints under constant normal stiffness boundary conditions[J]. Shock and Vibration，2021，2021：9670151.
[24] 刘日成，尹 乾，杨瀚清，等. 恒定法向刚度边界条件下三维粗糙节理面循环剪切力学特性[J]. 岩石力学与工程学报，2021，40(6)：1 092–1 109.(LIU Richeng，YIN Qian，YANG Hanqing，et al. Cyclic shear mechanical properties of 3D rough joint surfaces under constant normal stiffness (CNS) boundary conditions[J]. Chinese Journal of Rock Mechanics and Engineering，2021，40(6)：1 092–1 109.(in Chinese))
[25] 蒋宇静，张孙豪，栾恒杰，等. 恒定法向刚度边界条件下锚固节理岩体剪切特性试验研究[J]. 岩石力学与工程学报，2021，40(4)：663–675.(JIANG Yujing，ZHANG Sunhao，LUAN Hengjie，et al. Experimental study on shear characteristics of bolted rock joints under constant normal stiffness boundary conditions[J]. Chinese Journal of Rock Mechanics and Engineering，2021，40(4)：663–675.(in Chinese))
[26] 韩 钢，侯 靖，周 辉，等. 层间错动带剪切蠕变试验及蠕变模型研究[J]. 岩石力学与工程学报，2021，40(5)：958–971.(HAN Gang，HOU Jing，ZHOU Hui，et al. Shear creep experimental study on constitutive model of interlayer shear weakness zones[J]. Chinese Journal of Rock Mechanics and Engineering，2021，40(5)：958–971.(in Chinese))
[27] 武东生，孟陆波，李天斌，等. 灰岩三轴高温后效流变特性及长期强度研究[J]. 岩土力学，2016，37(增1)：183–191.(WU Dongsheng，MENG Lubo，LI Tianbin，et al. Study of triaxial rheological property and long-term strength of limestone after high temperature[J]. Rock and Soil Mechanics，2016，37(Supp.1)：183–191.(in Chinese))
[28] 李良权，徐卫亚，王 伟，等. 基于流变试验的向家坝砂岩长期强度评价[J]. 工程力学，2010，27(11)：127–136.(LI Liangquan，XU Weiya，WANG Wei，et al. Estimation of long-term strength for Xiangjiaba sandstone based on creep tests[J]. Engineering Mechanics，2010，27(11)：127–136.(in Chinese))
[29] 王 振，沈明荣，顾琳琳. 以等应变速率曲线为基础的岩石长期强度确定方法[J]. 哈尔滨工业大学学报，2017，49(6)：77–83.(WANG Zhen，SHEN Mingrong，GU Linlin. Methods for determining long-term strength of rock based on iso-strain rate creep curves[J]. Journal of Harbin Institute of Technology，2017，49(6)：77–83.(in Chinese))
[30] 赵 骏，江梦飞，范 晨，等. 真三轴应力下锦屏大理岩长期强度确定方法[J]. 岩石力学与工程学报，2023，42(增1)：3 324–3 330. (ZHAO Jun，JIANG Mengfei，FAN Chen，et al. Determination method of long-term strength of Jinping marble under true triaxial stress[J]. Chinese Journal of Rock Mechanics and Engineering，2023，42(Supp.1)：3 324–3 330.(in Chinese))
[31] WANG H P，SONG Y，ZHOU J H，et al. Research on the mechanical model of anchorage resistance in deeply filled jointed rock masses[J]. Engineering Failure Analysis，2024，163：108565.
[32] 宋 洋，王贺平，张维东，等. 恒定法向刚度条件下加锚充填节理岩体剪切特性研究[J]. 岩土力学，2024，45(9)：2 695–2 706. (SONG Yang，WANG Heping，ZHANG Weidong，et al. Shear characteristics of anchored filled jointed rock masses under constant normal stiffness[J]. Rock and Soil Mechanics，2024，45(9)：2695–2 706. (in Chinese))
[33] WANG H P，SONG Y，ZHANG W D，et al. Study on the shear mechanical properties of anchored jointed rock masses considering the influence of filling parameters under constant normal stiffness boundary conditions[J]. Rock Mechanics and Rock Engineering，2025，58(7)：1–24.
[34] WANG Z，GU L，ZHANG Q，et al. Creep characteristics and prediction of creep failure of rock discontinuities under shearing conditions[J]. International Journal of Earth Sciences，2020，109：945–958.
[35] 韩观胜，陈志靖，李 博，等. 恒定法向刚度条件下吸能锚杆锚固节理岩体剪切特性试验研究[J]. 岩石力学与工程学报，2024，43(4)：999–1 012.(HAN Guansheng，CHEN Zhijing，LI Bo，et al. Experimental study on shear characteristics of energy-absorbing bolt anchored jointed rock mass under constant normal stiffness condition[J]. Chinese Journal of Rock Mechanics and Engineering，2024，43(4)：999–1 012.(in Chinese))
[36] 宋 洋，王贺平，金佳旭，等. 深部充填节理岩体锚固抗力力学模型研究[J]. 岩土工程学报，2025，47(8)：1 672–1 680.(SONG Yang，WANG Heping，JIN Jiaxu，et al. Study on mechanical model of anchorage resistance of deep filling jointed rock mass[J]. Chinese Journal of Geotechnical Engineering，2025，47(8)：1 672–1 680.(in Chinese))
[37] WANG Z Q，HU B，LI J，et al. Analysis of dynamic disturbance and multistage shear creep damage evolution law of the weak intercalated layers in slope under the influence of coupled damage effect[J]. International Journal of Damage Mechanics，2025，34：236–269.
[38] NIU L L，ZHU W C，LIU X G，et al. Shear creep deformation of rock fracture disturbed by dynamic loading[J]. International Journal of Rock Mechanics and Mining Sciences，2024，183：105943.
[39] 赵 越，牛心玉，齐晓磊，等. 水化–冻融耦合作用下大理岩蠕变长期强度[J]. 吉林大学学报：地球科学版，2025，55(1)：188–198.(ZHAO Yue，NIU Xinyu，QI Xiaolei，et al. Creep long-term strength of marble under coupling effect of hydration freezing-thaw[J]. Journal of Jilin University：Earth Science，2025，55(1)：188–198.(in Chinese))
[40] 张慧梅，雷利娜，杨更社. 基于Weibull统计分布的岩石损伤模型[J]. 湖南科技大学学报：自然科学版，2014，29(3)：29–32.(ZHANG Huimei，LEI Lina，YANG Gengshe. Research on rock statistical damage model and determination of parameters[J]. Journal of Hunan University of Science and Technology：Natural Science，2014，29(3)：29–32.(in Chinese))
[41] 张 玉，金培杰，徐卫亚，等. 坝基碎屑岩三轴蠕变特性及长期强度试验研究[J]. 岩土力学，2016，37(5)：1 291–1 300.(ZHANG Yu，JIN Peijie，XU Weiya，et al. Experimental study of triaxial creep behavior and long-term strength of clastic rock in dam foundation[J]. Rock and Soil Mechanics，2016，37(5)：1 291–1 300.(in Chinese))
[42] 许宏发，柏 准，齐亮亮，等. 基于全应力–应变曲线的软岩蠕变寿命估计[J]. 岩土力学，2018，39(6)：1 973–1 980.(XU Hongfa，BAI Zhun，QI Liangliang，et al. Creep life estimation of soft rock based on the complete stress-strain curve[J]. Rock and Soil Mechanics，2018，39(6)：1 973–1 980.(in Chinese))
[43] 侯公羽. 岩石力学高级教程[M]. 北京：科学出版社，2018：591–592.(HOU Gongyu. Advanced course in rock mechanics[M]. Beijing：Science Press，2018：591–592.(in Chinese))
[44] 张龙云，张强勇，李术才，等. 硬脆性岩石卸荷流变试验及长期强度研究[J]. 煤炭学报，2015，40(10)：2 399–2 407.(ZHANG Longyun，ZHANG Qiangyong，LI Shucai，et al. Unloading rheological tests of hard brittle rock and its long-term strength analysis[J]. Journal of China Coal Society，2015，40(10)：2 399–2 407.(in Chinese))
[45] 刘新喜，李盛南，周炎明，等. 高应力泥质粉砂岩蠕变特性及长期强度研究[J]. 岩石力学与工程学报，2020，39(1)：138–146.(LIU Xinxi，LI Shengnan，ZHOU Yanming，et al. Study on creep behavior and long-term strength of argillaceous siltstone under high stresses[J]. Chinese Journal of Rock Mechanics and Engineering，2020，39(1)：138–146.(in Chinese))
[46] 张我华. 岩土工程损伤力学基础[M]. 北京：科学出版社，2018：145–146.(ZHANG Wohua. Damage mechanics fundamentals of geotechnical engineering[M]. Beijing：Science Press，2018：145–146.(in Chinese))
[47] 李 星，关志东，刘 璐，等. 复合材料跨尺度失效准则及其损伤演化[J]. 复合材料学报，2013，30(2)：152–158.(LI Xing，GUAN Zhidong，LIU Lu，et al. Composite multiscale failure criteria and damage evolution[J]. Acta Materiae Compositae Sinica，2013，30(2)：152–158.(in Chinese))
[48] 何 杰，吴拥政，付玉凯. 冲击载荷下锚杆护表构件力学响应规律研究[J]. 采矿与安全工程学报，2021，38(3)：556–564.(HE Jie，WU Yongzheng，FU Yukai. Mechanics response law of surface protecting components for rock bolting under impact load[J]. Journal of Mining and Safety Engineering，2021，38(3)：556–564.(in Chinese)) |
|
|
|
2026, Vol. 45 
