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Analysis on mechanical behavior and progressive failure of deep-buried marble based on complete stress-strain curves

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Abstract

The mechanical behavior and failure mode of deep-buried rocks are key issues to the safety of deep underground engineering. In this study, a series of acoustic emission (AE) monitored triaxial compression tests on the marble samples were firstly conducted. Then, the effects of confining pressure on the mechanical characteristics were analyzed. Finally, the failure mechanism of the marble was revealed by using micro-computerized tomography (CT) scanning technique. It is found that the elastic modulus of marble samples increases non-linearly with the increase of confining pressure, but Poisson’s ratio decreases exponentially. The shape of deviatoric stress-axial strain curve changes from elastic-brittle to elastic-plastic gradually, and the deviatoric stress-volumetric strain curve changes from compression-dilatancy to complete-compression. The strength and deformation parameters at key points on compressive curves are much correlative with confining pressure, but their sensitivities to confining pressure are different in the pre-peak and post-peak stages. The power function Bieniawski criterion can well describe the strength at the key points in the pre-peak stage. Hoek-Brown and Mohr-Coulomb criteria show a high fitting degree for the strength at zero volumetric strain point and the residual strength in the post-peak stage, respectively. Both crack sketch and micro-CT scanning reveal the change of failure modes of the marble samples from axial splitting to shear failure. The number of microscopically observable cracks decreases first and then increases. The secondary microcracks are detected in the samples under high confining pressure. These results may provide good references to the design and construction of deep rock mass engineering.

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All data used during the study appear in the submitted article.

References

  • Bai YL, Wierzbicki T (2010) Application of extended Mohr-Coulomb criterion to ductile fracture. Int J Fract 161(1):1–20

    Article  Google Scholar 

  • Behnia A, Chai HK, Shiotani T (2014) Advanced structural health monitoring of concrete structures with the aid of acoustic emission. Constr Build Mater 65:282–302

    Article  Google Scholar 

  • Bieniawski ZT (1974) Estimating the strength of rock materials. J South Afr Inst Min Metall 74(8):312–320

    Google Scholar 

  • Chen ZQ, He C, Wu D, Xu GW, Yang WB (2017) Fracture evolution and energy mechanism of deep-buried carbonaceous slate. Acta Geotech 12:1243–1260

    Article  Google Scholar 

  • Fairhurst C, Hudson JA (1999) Draft ISRM suggested method for the complete stress-strain curve for intact rock in uniaxial compression. Int J Rock Mech Min Sci 36(3):279–289

    Google Scholar 

  • Hoek E, Brown ET (1997) Practical estimates of rock mass strength. Int J Rock Mech Min Sci 34:1065–1086

    Article  Google Scholar 

  • Jia ZQ, Xie HP, Zhang R, Li CB, Wang M, Gao MZ, Zhang ZP, Zhang ZT (2020) Acoustic emission characteristics and damage evolution of coal at different depths under triaxial compression. Rock Mech Rock Eng 53(5):2063–2076

    Article  Google Scholar 

  • Jiang Q, Feng XT, Xiang TB, Su GS (2010) Rockburst characteristics and numerical simulation based on a new energy index: a case study of a tunnel at 2500 m depth. Bull Eng Geol Env 69(3):381–388

    Article  Google Scholar 

  • Jiang Q, Feng XT, Li SJ, Su GS, Xiao YX (2019) Cracking-restraint design method for large underground caverns with hard rock under high geostress condition and its practical application. Chin J Rock Mechan Eng 38(6):1081–1101 (in Chinese)

    Google Scholar 

  • Ketcham RA, Carlson WD (2001) Acquisition, optimization and interpretation of X-ray computed tomographic imagery: applications to the geosciences. Comput Geosci 27:381–400

    Article  Google Scholar 

  • Liu ZY, Zhuo L, Xiao ML, Xie HQ, He JD (2016) Testing study of rheological characteristic of marble being in residual strength stage. Chin J Rock Mechan Eng 35(S1):2843–2852 (in Chinese)

    Google Scholar 

  • Liu HD, Li LD, Zhao SL, Hu SH (2019) Complete stress-strain constitutive model considering crack model of brittle rock. Environ Earth Sci 78(21):1–18

    Article  Google Scholar 

  • Meng QB, Zhang MW, Han LJ, Pu H, Chen YL (2018) Acoustic emission characteristics of red sandstone specimens under uniaxial cyclic loading and unloading compression. Rock Mech Rock Eng 51:969–988

    Article  Google Scholar 

  • Munoz H, Taheri A, Chanda E (2016) Pre-peak and post-peak rock strain characteristics during uniaxial compression by 3D Digital Image Correlation. Rock Mech Rock Eng 49:2541–2554

    Article  Google Scholar 

  • Palchik V (2006) Application of Mohr-Coulomb failure theory to very porous sandy shales. Int J Rock Mech Min Sci 43(7):1153–1162

    Article  Google Scholar 

  • Shirani FR, Taheri A, Karakus M (2021a) Failure behaviour of a sandstone subjected to the systematic cyclic loading: insights from the double-criteria damage-controlled test method. Rock Mech Rock Eng 54:5555–5575

    Article  Google Scholar 

  • Shirani FR, Taheri A, Karakus M (2021b) Post-peak behaviour of rocks under cyclic loading using a double-criteria damage-controlled test method. Bull Eng Geol Env 80:1713–1727

    Article  Google Scholar 

  • Shirani FR, Taheri A, Karakus M (2022) Fatigue failure characteristics of sandstone under different confining pressures. Rock Mech Rock Eng 55:1227–1252

    Article  Google Scholar 

  • Su HJ, Jing HW, Yin Q, Yu LY, Wang YC, Wu XJ (2017) Strength and deformation behaviors of veined marble specimens after vacuum heat treatment under conventional triaxial compression. Acta Mech Sin 33(5):886–898

    Article  Google Scholar 

  • Taheri A, Zhang Y, Munoz H (2020) Performance of rock crack stress thresholds determination criteria and investigating strength and confining pressure effects. Constr Build Mater 243:118263

    Article  Google Scholar 

  • Taheri A, Faradonbeh RS, Munoz H (2022) Experimental study on progressive damage evolution in rocks subjected to post-peak cyclic loading history. Geotech Test J 45(3):606–626

    Article  Google Scholar 

  • Tutluoğlu L, Öge İF, Karpuz C (2015) Relationship between pre-failure and post-failure mechanical properties of rock material of different origin. Rock Mech Rock Eng 48(1):121–141

    Article  Google Scholar 

  • Wang Y, Zhao QH, Xiao YG, Hou ZQ (2020) Influence of time-lagged unloading paths on fracture behaviors of marble using energy analysis and post-test CT visualization. Environ Earth Sci 79:1–20

    Article  Google Scholar 

  • Wasantha PLP, Darlington WJ, Ranjith PG (2013) Characterization of mechanical behaviour of saturated sandstone using a newly developed triaxial apparatus. Exp Mech 53(5):871–882

    Article  Google Scholar 

  • Wu AQ, Wang JM, Shan ZG, Fang L, Zhou HM, Zhou CH, Li WS, Wang B (2016) Experimental study of strength parameters and their variation characteristics of deep marbles. Chin J Rock Mechan Eng 35(09):1740–1746 (in Chinese)

    Google Scholar 

  • Xu G, He C, Su A, Chen Z (2018) Experimental investigation of the anisotropic mechanical behavior of phyllite under triaxial compression. Int J Rock Mech Min Sci 104:100–112

    Article  Google Scholar 

  • Yang SQ, Ju Y, Gao F, Gui YL (2016) Strength, deformability and x-ray micro-ct observations of deeply buried marble under different confining pressures. Rock Mech Rock Eng 49:4227–4244

    Article  Google Scholar 

  • Yang SQ, Tian WL, Ranjith PG (2017) Experimental investigation on deformation failure characteristics of crystalline marble under triaxial cyclic loading. Rock Mech Rock Eng 50(11):2871–2889

    Article  Google Scholar 

  • Yang L, Xu W, Yilmaz E, Wang Q, Qiu J (2020) A combined experimental and numerical study on the triaxial and dynamic compression behavior of cemented tailings backfill. Eng Struct 219:110957

    Article  Google Scholar 

  • You MQ (2011) Comparison of the accuracy of some conventional triaxial strength criteria for intact rock. Int J Rock Mech Min Sci 48(5):852–863

    Article  Google Scholar 

  • Zhang F, Zhao JJ, Hu DW, Skoczylas F, Shao JF (2018) Laboratory investigation on physical and mechanical properties of granite after heating and water-cooling treatment. Rock Mech Rock Eng 51(3):677–694

    Article  Google Scholar 

  • Zhang Y, Zhao T, Taheri A, Tan Y, Fang K (2019) Damage characteristics of sandstone subjected to pre-peak and post-peak cyclic loading. Acta Geodyn Geomater 16(2):143–150

    Article  Google Scholar 

  • Zhang CW, Jin ZX, Feng GR, Song XM, Gao R, Zhang YJ (2020a) Double peaked stress-strain behavior and progressive failure mechanism of encased coal pillars under uniaxial compression. Rock Mech Rock Eng 53(7):3253–3266

    Article  Google Scholar 

  • Zhang YJ, Liu SJ, Kou MM, Wang ZQ (2020b) Mechanical and failure characteristics of fissured marble specimens under true triaxial compression: insights from 3-D numerical simulations. Comput Geotech 127:1–16

    Article  Google Scholar 

  • Zheng Z, Feng XT, Yang CX, Zhang XW, Li SJ, Qiu SL (2020) Post-peak deformation and failure behaviour of Jinping marble under true triaxial stresses. Eng Geol 265:105444

    Article  Google Scholar 

  • Zhou HW, Xie HP, Zuo JP, Du SH, Man K, Yan CY (2010) Experimental study of the effect of depth on mechanical parameters of rock. Chin Sci Bull 55(34):3276–3284 (in Chinese)

    Article  Google Scholar 

  • Zhou HW, Wang ZH, Ren WG, Liu ZL, Liu JF (2019) Acoustic emission based mechanical behaviors of Beishan granite under conventional triaxial compression and hydro-mechanical coupling tests. Int J Rock Mech Min Sci 123:104125

    Article  Google Scholar 

  • Zuo JP, Xu W, Pei JL, Zhou XP (2015) Investigation of meso-failure behaviors of Jinping marble using SEM with bending loading system. J Rock Mech Geotech Eng 7(5):593–599

    Article  Google Scholar 

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Funding

This study was financially supported by the Yalong River Joint Fund of National Natural Science Foundation of China (U1965101) and National Natural Science Foundation of China (12272119, 51579062), which are gratefully appreciated.

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Authors and Affiliations

  1. School of Civil and Hydraulic Engineering, Hefei University of Technology, Hefei, 230009, Anhui, China

    Songyu Li, Zhiliang Wang & Jiaqiang Yang

  2. School of Mechanics and Civil Engineering, China University of Mining and Technology, Xuzhou, 221116, Jiangsu, China

    Jianguo Wang

  3. School of Resource and Environmental Engineering, Hefei University of Technology, Hefei, 230009, Anhui, China

    Zhitang Lu

Authors
  1. Songyu Li
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  2. Zhiliang Wang
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  3. Jianguo Wang
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  4. Jiaqiang Yang
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Corresponding author

Correspondence to Zhiliang Wang.

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Highlights

• The types of deviatoric stress-axial stain and deviatoric stress-volumetric strain curves of marble samples under triaxial compression were investigated.

• The effects of confining pressure on the stress and deformation characteristics of key points at the pre- and post-peak stages of marble samples were contrasted and analyzed.

• Combined with the acoustic emission and micro-CT scanning, the failure characteristics and mechanism of marble were studied.

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Li, S., Wang, Z., Wang, J. et al. Analysis on mechanical behavior and progressive failure of deep-buried marble based on complete stress-strain curves. Bull Eng Geol Environ 82, 133 (2023). https://doi.org/10.1007/s10064-023-03123-5

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  • DOI: https://doi.org/10.1007/s10064-023-03123-5

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