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End and shape effects of brittle rock under uniaxial compression

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Abstract

Accurate estimation of rock strength is one of the most important tasks in rock engineering design. We analyzed the mechanical and failure properties of rock specimens affected by the end and shape effects under uniaxial compression through experimental and numerical studies. It was found that the end effect could change the failure mode of rock specimens from splitting failure to shear failure, as the coefficient of friction at the rock specimen-loading platens contacts increased. When the coefficient of friction was increasing, the contour distribution of the equivalent plastic strain of specimen also changed, which simultaneously influenced by the shape of specimen. It can be observed that an increase in the slenderness of specimen caused a decrease in end frictional effect on the uniaxial compressive strength of rock specimen. The numerical results also revealed that the shape effect originated from the end frictional effect as the rock material was homogeneous. The relationship between the uniaxial compressive strength and the aspect ratio of specimen was obtained and fitted by incorporating the end effect, which indicated that the uniaxial compression test should mitigate the coefficient of friction and increase the aspect ratio of specimens to make the observed strength of specimen more meaningful.

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References

  • Amadei B (1996) Importance of anisotropy when estimating and measuring in situ stress in rock. Int J Rock Mech and Min Sci & Geomech Abstr 33:293–325

    Article  Google Scholar 

  • Bai SW, Ling SS, Zhu WS (1982) Uniformity of stress distributions in rock cylinder specimen under uniaxial compression (in Chinese). Chin J Rock Mech Eng 4:193–203

    Google Scholar 

  • Bazant ZP (1997) Scaling of quasi-brittle facture: hypotheses of invasive and lacunar fractality, their critique and Weibull connection. Int J Fract 83:41–65

    Article  Google Scholar 

  • Bazant ZP, Planas J (1998) Fracture and size effect in concrete and other quasi-brittle materials. CRC press, Boca Raton, pp 437–488

    Google Scholar 

  • Bieniawski Z, Bernede M (1979) Suggested methods for determining the uniaxial compressive strength and deformability of rock materials: part 1. Suggested method for determining deformability of rock materials in uniaxial compression. Int J Rock Mech and Min Sci & Geomech Abstr 16:138–140

    Article  Google Scholar 

  • Brady B (1971) Effects of inserts on the elastic behavior of cylindrical materials loaded between rough end-plates. Int J Rock Mech and Min Sci & Geomech Abstr 8:357–369

    Article  Google Scholar 

  • Choi SK, Thienel KC, Shah S (1996) Strain softening of concrete in compression under different end constraints. Mag Concrete Res 48:103–115

    Article  Google Scholar 

  • Dai F, Xu Y, Zhao T, Xu NW, Liu Y (2016) Loading-rate-dependent progressive fracturing of cracked chevron-notched Brazilian disc specimens in split Hopkinson pressure bar tests. Int J Rock Mech Min Sci 88:49–60

    Article  Google Scholar 

  • Darlington WJ, Ranjith PG, Choi SK (2011) The effect of specimen size on strength and other properties in laboratory testing of rock and rock-like cementitious brittle materials. Rock Mech Rock Eng 44:513–529

    Article  Google Scholar 

  • Feng P, Ayatollahi MR, Dai F, Xu NW, Wei MD (2017) DEM investigation on fracture mechanism of the CCNSCB specimen under intermediate dynamic loading. Arab J Geosci 10:48

    Article  Google Scholar 

  • Gaffney E (1976) Measurements of dynamic friction between rock and steel. Defense Nuclear Agency

  • Gao FQ, Stead D, Kang HP (2014) Numerical investigation of scale effect and anisotropy in the strength and deformability of coal. Int J Coal Geol 136:25–37

    Article  Google Scholar 

  • Hallbauer DK, Wagner H, Cook NGW (1973) Some observations concerning the microscopic and mechanical behaviour of Quartize specimens in stiff, triaxial compression tests. Int J Rock Mech and Min Sci & Geomech Abstr 10:713–726

    Article  Google Scholar 

  • Hoek E, Brown ET (1980) Underground excavations in rock. Institute of Mining and Metallurgy, London

    Google Scholar 

  • Hoek E, Brown ET (1997) Practical estimates of rock mass strength. Int J Rock Mech and Min Sci & Geomech Abstr 30:381–384

    Google Scholar 

  • Hoskins JR, Horino FG (1968) Effect of end conditions on determining compressive strength of rock samples. U.S. Department of the Interior, Bureau of Mines, Washington, DC

    Google Scholar 

  • Hudson JA, Brown ET, Fairhurst C (1971) Shape of the complete stress-strain curve for rock. In: Proceeding of 13th symposium rock mechanics. University of Illinois, Urbana, pp 773–795

    Google Scholar 

  • Hudson JA, Crouch SL, Fairhurst C (1972) Soft, stiff and servo-controlled testing machines: a review with reference to rock failure. Eng Geol 6:155–189

    Article  Google Scholar 

  • Labuz JF, Bridell JM (1993) Reducing frictional constraint in compression testing through lubrication. Int J Rock Mech and Min Sci & Geomech Abstr 30:451–455

    Article  Google Scholar 

  • Liang ZZ (2005) Three-dimensional failure process analysis of rock and associated numerical tests (in Chinese). Ph.D Thesis, Northeastern University, Shenyang, China

  • Liang ZZ, Tang CA, Zhang JX, Ma TH, Zhang R (2007) Three-dimensional damage model for failure process of rocks and associated numerical simulation of geometry effect (in Chinese). Rock Soil Mech 28(4):699–705

    Google Scholar 

  • Liang ZZ, Zhang YB, Tang SB, Li LC, Tang CA (2013) Size effect of rock messes and associated representative element properties (in Chinese). Chin J Rock Mech Eng 32:1157–1166

    Google Scholar 

  • Liu JG, Zeng YW (2005) Numerical simulation of the end frictional effect of rock specimens (in Chinese). J Eng Geol 13:247–251

    Google Scholar 

  • Liu BC, Zhang JS, Du QZ, Tu JF (1998) A study of size effect for compression strength of rock (in Chinese). Chin J Rock Mech Eng 17:611–614

    Google Scholar 

  • Mai G, Tang ZP, Tang XW (2013) Numerical simulation of rock’s end constraint effect under uniaxial compression (in Chinese). J Yangtze River Scie Res Ins 30:68–71

    Google Scholar 

  • Masoumi H, Saydam S, Hagan PC (2015) Unified size-effect law for intact rock. Int J Geomech (ASCE) 16:04015054

    Google Scholar 

  • Meng QB, Zhang MW, Han LJ, Pu H, Li H (2016) Effects of size and strain rate on the mechanical behaviors of rock specimens under uniaxial compression. Arab J Geosci 9:527–540

    Article  Google Scholar 

  • Mogi K (1971) Effect of the triaxial stress system on the failure of dolomite and limestone. Tectonophysics 11:111–127

    Article  Google Scholar 

  • Mogi K (2009) Dilatancy of rocks under general triaxial stress states with special reference to earthquakes precursors. Earth Plants Space 25:203–217

    Google Scholar 

  • Pan PZ, Feng XT, Hudson JA (2009) Study of failure and scale effects in rocks under uniaxial compression using 3D cellular automata. Int J Rock Mech Min Sci 46:674–685

    Article  Google Scholar 

  • Pan PZ, Zhou H, Feng XT (2014) Research on effect of loading conditions on failure processes of rocks with different sizes under uniaxial compression (in Chinese). Chin J Rock Mech Eng 27:3636–3642

    Google Scholar 

  • Pells P (2004) On the absence of size effects for substance strength of Hawkesbury Sandstone. Austrian Geomech J 39:79–83

    Google Scholar 

  • Qi CZ, Wang MY, Bai JP, Wei XK, Wang HS (2016) Investigation into size and strain rate effects on the strength of rock-like materials. Int J Rock Mech Min Sci 86:132–140

    Article  Google Scholar 

  • Shi L, Li XC (2009) Analysis of end friction effect in true triaxial test (in Chinese). Rock Soil Mech 30:1159–1164

    Google Scholar 

  • Song L, Liu WQ, Jin CJ (2012) Scale constitutive model of statistical damage for coal samples with effect of interfacial friction (in Chinese). Eng Mech 29:344–349

    Google Scholar 

  • Tang CA (1997) Numerical simulation on progressive failure leading to collapse and associated seismicity. Int J Rock Mech Min Sci 34:249–261

    Article  Google Scholar 

  • Tang CA, Liu H, Lee PKK, Tusi Y, Tham LG (2000a) Numerical studies of the influence of microstructure on rock failure in uniaxial compression-part 1: effect of heterogeneity. Int J Rock Mech Min Sci 37:555–569

    Article  Google Scholar 

  • Tang CA, Tham LG, Lee PKK, Tusi Y, Liu H (2000b) Numerical studies of the influence of microstructure on rock failure in uniaxial compression-part 2: constraint, slenderness and size effect. Int J Rock Mech Min Sci 37:571–583

    Article  Google Scholar 

  • Thuro K, Plinninger RJ, Zäh S, Schütz S (2001) Scale effects in rock strength properties, part 1: unconfined compressive test and Brazilian test. In: Proceedings of ISRM regional symposium EUROCK 2001: rock mechanics-a challenge for society. A.A. Balkema, Espoo, pp 169–174

    Google Scholar 

  • Van Mier J (1996) Fracture process of concrete. CRC Press, Boca Raton

    Google Scholar 

  • Van Vliet M, Van Mier J (1996) Experimental investigation of concrete fracture under uniaxial compression. Mech Cohes-Frict Mat 1:115–127

    Article  Google Scholar 

  • Vardoulakis I, Labuz JF, Papamichos E, Tronvoll J (1998) Continuum fracture mechanics of uniaxial compression on brittle materials. Int J Solids Struct 35:4313–4335

    Article  Google Scholar 

  • Wei XX, Chau KT (2009) Finite and transversely isotropic elastic cylinders under compression with end constraint induced by friction. Int J Solids Struct 46:1953–1965

    Article  Google Scholar 

  • Wei MD, Dai F, Xu NW, Zhao T, Liu Y (2017) An experimental and theoretical assessment of semi-circular bend specimens with chevron and straight -through notches for mode I fracture toughness testing of rocks. Int J Rock Mech Min Sci 99:28–38

    Article  Google Scholar 

  • Wei MD, Dai F, Liu Y, Xu NW, Zhao T (2018) An experimental and theoretical comparison of CCNBD and CCNSCB specimens for determining mode I fracture toughness of rocks. Fatigue Fract Eng Mater Struct 41(5):1002–1018

    Article  Google Scholar 

  • Xu YH, Cai M, Zhang XW, Feng XT (2017) Influence of end effect on rock strength in true triaxial compression test. Can Geotech J 54:862–880

    Article  Google Scholar 

  • Yang SQ, Su CD, Xu WY (2005) Experimental and theoretical study of size effect of rock material (in Chinese). Eng Mech 22:112–118

    Article  Google Scholar 

  • You MQ (2000) The strength and deformation failure process of rock specimen (in Chinese). Geological publishing house, Beijing, pp 41–55

    Google Scholar 

  • You MQ, Su CD (2004) Effect of length of fine and coarse crystal marble specimens on uniaxial compression tests (in Chinese). Chin J Rock Mech Eng 23:3754–3760

    Google Scholar 

  • Zhao XG, Wang J, Ma LK, Su R, Cai M, Wang GB (2013a) Acoustic emission behaviors of the Beishan granite under uniaxial and triaxial compression conditions. International Society for Rock Mechanics and Rock Engineering

  • Zhao X, Cai M, Wang J, Ma L (2013b) Damage stress and acoustic emission characteristics of the Beishan granite. Int J Rock Mech Min Sci 64:258–269

    Article  Google Scholar 

  • Zou CJ, Wong LNY (2016) Size and geometry effects on the mechanical properties of Carrara Marble under dynamic loadings. Rock Mech Rock Eng 49:1695–1708

    Article  Google Scholar 

Download references

Acknowledgements

The authors appreciate the financial support from the Project (2014CB047100) supported by the National Key Basic Research and Development Program of China 973 Program and the Fundamental Research Funds for the Central University (grant no. DUT17RC(3)032). The author wishes to acknowledge these supports.

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Authors and Affiliations

  1. State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian, 116024, China

    Min Gao, Zhengzhao Liang, Yingchun Li & Meili Zhang

  2. Highway Maintenance Technology R&D Center, Liaoning Provincial Communication Planning and Design Institute Co., Ltd, Shenyang, 110111, China

    Xiankai Wu

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  1. Min Gao
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  2. Zhengzhao Liang
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  3. Yingchun Li
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  4. Xiankai Wu
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  5. Meili Zhang
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Correspondence to Zhengzhao Liang.

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Gao, M., Liang, Z., Li, Y. et al. End and shape effects of brittle rock under uniaxial compression. Arab J Geosci 11, 614 (2018). https://doi.org/10.1007/s12517-018-3957-9

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