基于组合模型法的贯通节理岩体动态损伤本构模型

刘红岩; 吕淑然; 张力民

doi:10.11779/CJGE201410008

基于组合模型法的贯通节理岩体动态损伤本构模型 English Version

刘红岩^{1, 2, 3},
吕淑然⁴,
张力民^{5, 6}

1. 中国地质大学（北京）工程技术学院,北京 100083;
2. 西藏大学工学院,西藏拉萨 850000;
3. 中国地质大学（北京）国土资源部深部地质钻探技术重点实验室,北京 100083;
4. 首都经济贸易大学安全与环境工程学院,北京100026;
5. 北京科技大学土木与环境工程学院,北京 100083;
6. 河北承德钢铁公司,河北承德 067000

基金项目: 国家自然科学基金项目（41002113,41162009）; 中央高校基本科研业务费专项资金项目（2-9-2014-019）

详细信息

作者简介:
刘红岩(1975- ),男,博士,教授,注册岩土工程师,高级爆破工程师,主要从事岩土工程方面的教学和科研。E-mail: lhy1204@cugb.edu.cn。

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出版历程
- 收稿日期: 2013-11-26
- 发布日期: 2014-10-19

Dynamic damage constitutive model for persistent jointed rock mass based on combination model method

LIU Hong-yan^{1, 2, 3},
LÜ Shu-ran⁴,
ZHANG Li-min^{5, 6}

1. College of Engineering & Technology, China University of Geoseiences (Beijing), Beijing 100083, China;
2. School of Engineering, Tibet University, Lasa 850000, China;
3. Key Laboratory on Deep GeoDrilling Technology, Ministry of Land and Resources, Beijing 100083, China;
4. School of Safety and Environment Engineering, Capital University of Economics and Business, Beijing 100026, China;
5. Civil and Environmental Engineering School, University of Science and Technology Beijing, Beijing 100083, China;
6. Hebei Chengde Iron and Steel Corporation, Chengde 067002, China

摘要

摘要: 针对贯通节理岩体动态变形特点并结合已有岩石动态本构模型的相关研究成果,将贯通节理岩体变形过程中的动态应力视为贯通节理岩体静态应力分量与相应动态应力分量的叠加。其中贯通节理岩体静态应力分量采用考虑岩石细观损伤的非线性元件、节理面闭合及剪切变形元件等3个基本元件的串联来模拟,动态应力分量采用黏性元件来模拟,从而建立了贯通节理岩体动态单轴压缩损伤本构模型。其次,根据贯通节理岩体在单轴压缩荷载下往往会沿节理面发生剪切破坏的特点,在前述已建立的损伤本构模型中引人节理剪切破坏准则对该模型进行修正,从而更好地考虑了节理剪切强度对该模型的影响,最终建立了考虑节理剪切强度的贯通节理岩体单轴压缩损伤本构模型。最后利用该模型对贯通节理岩体在压缩荷载作用下的力学特性进行了分析计算,重点讨论了节理倾角对岩体单轴动态压缩峰值强度的影响规律。研究结果表明随着节理倾角的变化,节理岩体将发生岩块张拉或剪切破坏、沿节理面的剪切破坏及上述两种破坏模式的复合破坏,相应地节理岩体的单轴压缩动态峰值强度也随之有较大变化。
- 贯通节理岩体 /
- 动态损伤本构模型 /
- 节理剪切强度 /
- 组合模型法 /
- 黏性元件
Abstract: According to the dynamic deformation characteristics of the persistent jointed rock mass and the relevant results of the existing rock dynamic constitutive models, the dynamic stress of the persistent jointed rock mass is regarded as the summation of two components, which are the static stress and the dynamic stress components respectively. The static stress component of the persistent jointed rock mass is simulated using three basic deformation components connecting in series such as the nonlinear component reflecting the rock mesoscopic damage, joint closure and shear deformation components. The dynamic stress component is simulated using the viscous component. Then the uniaxial dynamic compression damage constitutive model is set up. Next, according to the fact that the persistent jointed rock mass often shears to fail along the joint face under the uniaxial load, the joint shear failure criterion is introduced into the damage constitutive model established above to revise it, which can perfectly consider the effect of the joint shear strength on this model, and the uniaxial compression damage constitutive model of persistent jointed rock mass considering the joint shear strength is established finally. Then this model is adopted to calculate the mechanical properties of the persistent jointed rock mass under compression load, and the effect law of the joint dip angle on the rock mass uniaxial compression dynamic climax strength is especially discussed. The results show that the failure modes of the jointed rock mass
- persistent jointed rock mass /
- dynamic damage constitutive model /
- joint shear strength /
- combination model method /
- viscous component

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参考文献(27)

[1]	LI Jian-chun, LI Hai-bo, MA Guo-wei. Stochastic seismic wave interaction with a rock joint having Coulomb-slip behavior[J]. Journal of Rock Mechanics and Geotechnical Engineering, 2010, 2(4): 321-330.
[2]	廖志毅, 梁正召, 杨岳峰, 等. 刀具动态作用下节理岩体破坏过程的数值模拟[J]. 岩土工程学报, 2013, 35(6): 1147-1155. (LIAO Zhi-yi, LIANG Zheng-zhao, YANG Yue-feng, et al. Numerical simulation of fragmentation process of jointed rock mass induced by a drill bit under dynamic loading[J]. Chinese Journal of Geotechnical Engineering,2013, 35(6): 1147-1155. (in Chinese))
[3]	KUMAR A. The effect of stress rate and temperature on the strength of basalt and granite[J]. Geophys, 1968, 33(3): 501-510.
[4]	LI Jian-chun, MA Guo-wei, ZHAO Jian. An equivalent viscoelastic model for rock mass with parallel joints[J]. Journal of Geophysical Research, 2010, 115(B3): 1-10.
[5]	LU W B, YANG J H, YAN P. Dynamic response of rock mass induced by the transient release of in-situ stress[J]. International Journal of Rock Mechanics and Mining Sciences, 2012, 53(7): 129-141.
[6]	ZHANG Y H, FU X D, SHENG Q, et al. Study on elastic P-wave propagation law in unfavorable geologic structures with discontinuous deformation analysis method[J]. Arab J Geosci, 2013, 6(11): 4557-4564.
[7]	LINDHOLM U S, YEAKLEY L M, NAGY A. The dynamic strength and fracture properties of dresser basalt[J]. Int J Rock Mech Min Sci and Geomech Abstr, 1974, 11(2): 181-191.
[8]	JAEGER J C. Shear failure of anisotropic rocks[J]. Geological Magazine, 1960, 97(1): 65-79.
[9]	SAZID M, SINGH T N. Two-dimensional dynamic finite element simulation of rock blasting[J]. Arab J Geosci, 2013, 6(10): 3703-3708.
[10]	JIA Peng, ZHU Wan-cheng. Dynamic-static coupling analysis on rockburst mechanism in jointed rock mass[J]. Journal of Central South University, 2012, 19(11): 3285-3290.
[11]	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): 1658-1664. (CAO Wen-gui, 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): 1658-1664. (in Chinese))
[12]	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): 1771-1776. (SHAN Ren-liang, XUE You-song, ZHANG Qian. Time dependent damage models of rock under dynamic loading[J]. Chinese Journal of Rock Mechanics and Engineering, 2003, 22(11): 1771-1776. (in Chinese))
[13]	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 Dao-jian, YANG Lin-de, CAI Yong-cang. Mixed multi-weakness plane softening model for jointed rock mass[J]. Chinese Journal of Geotechnical Engineering, 2010, 32(2): 185-191. (in Chinese))
[14]	GRADY D E, KIPP M A G. Continuum modeling of explosive fracture in oil shale[J]. Int Rock Mech Min Sci, 1980, 17(2): 147-157.
[15]	张平, 李宁, 贺若兰. 含裂隙类岩石材料的局部化渐进破损模型研究[J]. 岩石力学与工程学报, 2006, 25(10): 2043-2050. (ZHANG Ping, LI Ning, HE Ruo-lan. Research on localized progressive damage model for fractured rocklike materials[J]. Chinese Journal of Rock Mechanics and Engineering, 2006, 25(10): 2043-2050. (in Chinese))
[16]	李夕兵, 王卫华, 马春德. 不同频率载荷作用下的岩石节理本构模型[J]. 岩石力学与工程学报, 2007, 26(2): 247-253. (LI Xi-bing, WANG Wei-hua, MA Chun-de. Constitutive model of rock joints under compression loads with different frequencies[J]. Chinese Journal of Rock Mechanics and Engineering, 2007, 26(2): 247-253. (in Chinese))
[17]	WEIBULL W. A statistical distribution function of wide applicability[J]. J Applied Mech, 1951, 18(9): 293-297.
[18]	TANG Chun-an, TANG Shi-bin. Applications of rock failure process analysis (RFPA) method[J]. Journal of Rock Mechanics and Geotechnical Engineering, 2011, 3(4): 352-372.
[19]	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: 87-93. (XIA Cai-chu, SUN Zong-qi. Engineering rock mass joint mechanics[M]. Shanghai: Tongji Uniersity Press, 2002: 87-93. (in Chinese))
[20]	孙广忠. 岩体结构力学[M]. 北京: 科学出版社, 1988: 124-127. (SUN Guang-zhong. Structural mechanics of rock mass[M]. Beijing: Science Press, 1988. (in Chinese))
[21]	KULATILAKE PHSW, LIANG L, GAO H. Experimental and numerical simulations of jointed rock block strength under uniaxial loading[J]. J Eng Mech, 2001, 127(12): 1240-1247.
[22]	BARTON N. Review of a new shear strength criterion for rock joints [J]. Eng Geol, 1973, 7: 287-332.
[23]	凌建明, 孙钧. 脆性岩石的细观裂纹损伤及其时效特征[J]. 岩石力学与工程学报, 1993, 12(4): 304-312. (LING Jian-ming, SUN Jun. On mesocrack damage of brittle rocks and its time-dependent characteristics[J]. Chinese Journal of Rock Mechanics and Engineering, 1993, 12(4): 304-312. (in Chinese))
[24]	WANG Tai-tien, HUANG Tsan-hwei. A constitutive model for the deformation of a rock mass containing sets of ubiquitous joints[J]. Int Journal of Rock Mechanics & Mining Sciences, 2009(46): 521-530.
[25]	肖树芳, 杨淑碧. 岩体力学[M]. 北京: 地质出版社, 1987: 59-65. (XIAO Shu-fang, YANG Shu-bi. Rock mass mechanics[M]. Beijing: Geological Publishing House, 1987: 59-65. (in Chinese))
[26]	王学滨. 节理倾角对单节理岩样变形破坏影响的数值模拟[J]. 四川大学学报(工程科学版), 2006, 38(2): 24-29. (WANG Xue-bin. Effect of joint inclination on deformation and failure of rock specimen with a single joint in plane strain compression[J]. Journal of Sichuan University (Engineering Science), 2006, 38(2): 24-29. (in Chinese))
[27]	陈新, 廖志红, 李德建. 节理倾角及连通率对岩体强度、变形影响的单轴压缩试验[J]. 岩石力学与工程学报, 2011, 30(4): 781-789. (CHEN Xin, LIAO Zhi-hong, LI De-jian. Experimental study of effects of joint inclination angle and connectivity rate on strength and deformation properties of rock masses under uniaxial compression[J]. Chinese Journal of Rock Mechanics and Engineering, 2011, 30(4): 781-789. (in Chinese))