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| STUDY OF ROCK UNIAXIAL COMPRESSION DEFORMATION AND FAILURE CHARACTER BASED ON AN IMPROVED WEIBULL DISTRIBUTION MODEL |
| TANG Xinwei1,2,ZHOU Yuande3,4 |
| (1. State Key Laboratory of Subtropical Building Science,South China University of Technology,Guangzhou,Guangdong 510640,China;2. School of Civil Engineering and Transportation,South China University of Technology,Guangzhou,Guangdong 510640,China;3. State Key Laboratory of Hydro Science and Engineering,Tsinghua University,Beijing 100084,China;4. Department of Hydraulic Engineering,Tsinghua University,Beijing 100084,China) |
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Abstract Abundant test results have shown that the deformation and failure response of rock material under uniaxial compression is strongly dependent on its internal structure,boundary conditions,specimen geometry,etc. This study presents a mesoscale numerical model for rock material based on continuum mechanics,and a nonlinear damage material model is adopted to describe the deformation and failure behaviors of each mesoscale finite element. To consider the spatial correlation character of physical and mechanical properties of realistic rock material as commonly observed,a spatial correlation length factor is introduced into the traditional Weibull random distribution model. Based on the established improved mesoscale random model,a series of numerical uniaxial compression tests are conducted to investigate the effects of end friction and specimen geometry on the progressive failure response of rock specimens. The results show that the end friction and specimen slenderness ratio can significantly affect the load-deformation curves and fracture patterns. The effect of specimen geometry plays a vital role even when the end friction is reduced to a small value. The mesoscale numerical study results indicate that experimental discrepancy may be diminished by lowering the end friction and increasing the specimen height/width ratio in the uniaxial compression test.
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Received: 22 May 2013
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| [1] HUDSON J A,BROWN E T,FAIRHURST C. Shape of the complete stress-strain curve for rock[C]// Stability of Rock Slopes. Proceedings of the 13th Symposium on Rock Mechanics. Urbana:University of Illiois,ASCE,1971:773–795.
[2] 杨圣奇,苏承东,徐卫亚. 岩石材料尺寸效应的试验和理论研究[J]. 工程力学,2005,22(4):112–118.(YANG Shengqi,SU Chengdong,XU Weiya. Experimental and theoretical study of size effect of rock material[J]. Engineering Mechanics,2005,22(4):112–118.(in Chinese))
[3] MOGI K. Effect of the triaxial stress system on the failure of dolomite and limestone[J]. Tectonophysics,1971,11(2):111–127.
[4] MOGI K. Dilatancy of rocks under general triaxial stress states with special reference to earthquakes precursors[J]. Journal of Physics of the Earth,1977,25:203–217.
[5] 潘鹏志,周 辉,冯夏庭. 加载条件对不同尺寸岩石单轴压缩破裂过程的影响研究[J]. 岩石力学与工程学报,2008,27(增2):3 636– 3 642.(PAN Pengzhi,ZHOU Hui,FENG Xiating. Research on effect of loading conditions on failure processes of rocks with different sizes under uniaxial compression[J]. Chinese Journal of Rock Mechanics and Engineering,2008,27(Supp.2):3 636–3 642.(in Chinese))
[6] TANG C A,LIU H,LEE P K K,et al. Numerical studies of the influence of microstructure on rock failure in uniaxial compression. part 2:Effect of heterogeneity[J]. International Journal of Rock Mechanics and Mining Sciences,2000,37(4):555–569.
[7] SCHLANGEN E,VAN MIER J G M. Simple lattice model for numerical simulation of concrete material and structures[J]. Materials and Structures,1992,25(9):534–542.
[8] Itasca Consulting Group,Inc.. PFC3D user?s guide[R]. Mineapolis:Itasca Consulting Group,Inc.,2000.
[9] 于庆磊,唐春安,唐世斌. 基于数字图像的岩石非均匀性表征技术及初步应用[J]. 岩石力学与工程学报,2007,26(3):551–559.(YU Qinglei,TANG Chun?an,TANG Shibin. Digital image based characterization method of rock?s heterogeneity and tis primary application[J]. Chinese Journal of Rock Mechanics and Engineering,2007,26(3):551–559.(in Chinese))
[10] CHEN S,YUE Z Q,THAM L G. Digital image-based numerical modeling method for prediction of inhomogeneous rock failure[J]. International Journal of Rock Mechanics and Mining Sciences,2004,41(6):939–957.
[11] KWN A K H,MORA C F,CHAN H C. Particle shape analysis of coarse aggregate using digital image processing[J]. Cement and Concrete Research,1999,29(9):1 403–1 410.
[12] 刘延保,曹树刚,刘玉成. 基于LS-SVM的岩石细观图像分析方法探讨[J]. 岩石力学与工程学报,2008,27(5):1 059–1 065.(LIU Yanbao,CAO Shugang,LIU Yucheng. Discussion on analytical method for LS-SVM based mesoscopic rock images[J]. Chinese Journal of Rock Mechanics and Engineering,2007,27(5):1 059– 1 065.(in Chinese))
[13] LEE J,FENVES G L. Plastic-damage model for cyclic loading of concrete structures[J]. Journal of Engineering Mechanics,1998,124(8):892–900.
[14] 唐欣薇,张楚汉. 混凝土细观力学模型研究:非均质影响[J]. 水力发电学报,2009,28(4):56–62.(TANG Xiwei,ZHANG Chuhan. Meso-scale modeling of concrete:effects of heterogeneity[J]. Journal of Hydroelectric Engineering,2009,28(4):56–62.(in Chinese))
[15] GRIFFITHS D V,GORDON F A. Probabilistic slope stability analysis by finite elements[J]. Journal of Geotechnical and Geoenvironmental Engineering,2004,130(5):507–518.
[16] 唐欣薇,周元德,张楚汉. 考虑空间相关尺度特征的细观力学模型及其应用[J]. 岩土力学,2012,33(7):2 021–2 026.(TANG Xinwei,ZHOU Yuande,ZHANG Chuhan. A mesomechanical model with spatial correlation scale character and its application[J]. Rock and Soil Mechanics,2012,33(7):2 021–2 026.(in Chinese))
[17] MOGI K. Experimental rock mechanics[M]. London:Taylor and Francis,2006:6–11.
[18] PELLS P J. Uniaxial strength testing[C]// HUDSON J. ed. In Comprehensive Rock Engineering. Oxford:Pergamon Press,1993:75–97. |
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