Abstract
Water-weakening effect is one of the most important causes triggering large deformation and failure of soft-rock engineering; however, few studies have paid attention to damage evolution and constitutive relationship of rock in water-weakening process. In this paper, laboratory tests are first carried out to estimate the evolution of mechanical properties along with changes of immersion time for shale samples. Then with the aid of X-ray diffraction and scanning electron microscope, mechanism of parameter degradation for shale under immersion conditions is investigated from the microscopic perspective. Based on the generalized strain equivalent principle and the theory of statistical microscopic damage mechanics, a damage constitutive model of rock subjected to water-weakening effect and uniaxial loading is established by considering the influence of void-compression stage, and the proposed model is verified to be in good agreement with the experiment results. This paper provides an effective approach to analyze the constitutive relationship of rock subjected to water-weakening effect and uniaxial loading.
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References
Alm O (1982) The effect of water on the mechanical properties and microstructures of granitic rock at high pressure and high temperature. In: Proceedings of 23rd symposium on rock mechanics, University of California, Berkeley, pp 261–269
Cao WG, Zhao H, Zhang YJ, Zhang L (2011) Strain softening and hardening damage constitutive model for rock considering effect of volume change and its parameters determination method. Rock Soil Mech 32(3):647–654
Cao WG, Zhang C, He M, Liu T (2016) Statistical damage simulation method of strain softening deformation process for rocks considering characteristics of void compaction stage. Chin J Geotech Eng 38(10):1754–1761
Colback PSB, Wiid BL (1965) The influence of moisture content on the compressive strength of rock. Rock Mechanics Symposium, University of Toronto, Ottawa, Department of Mines and Technical Surveys, pp 65–84
Deng HF, Li JL (2014) Research on the influence mechanism of water level fluctuation on the bank landslide deformation and stability. J Hydraul Eng 45(S2):45–51
Deng HF, Hu AL, Li JL, Zhang XJ, Hu Y, Chang DL, Zhu M (2017) Statistical damage constitutive model of sandstone under water–rock interaction. Rock Soil Mech 38(3):631–639
Dong W, Shen XD, Xue HJ, He J, Liu Y (2016) Research on the freeze–thaw cyclic test and damage model of Aeolian sand lightweight aggregate concrete. Constr Build Mater 123:792–799
Duda M, Renner J (2012) The weakening effect of water on the brittle failure strength of sandstone. Geophys J Int 192(3):1091–1108
Duperret A, Taibi S, Mortimore RN, Daigneault M (2005) Effect of groundwater and sea weathering cycles on the strength of chalk rock from unstable coastal cliffs of NW France. Eng Geol 78:321–343
Erguler ZA, Ulusay R (2009) Water-induced variations in mechanical properties of clay-bearing rocks. Int J Rock Mech Min Sci 46(2):355–370
Gao C, Xie LZ, Xie HP, He B, Li CB, Wang J, Luo Y (2017) Coupling between the statistical damage model and permeability variation in reservoir sandstone: Theoretical analysis and verification. J Nat Gas Sci Eng 37:375–385
GB/T 50266-2013 (2013) Standard for test methods of engineering rock mass. China Planning Press, Beijing
Hadizadeh J, Law RD (1991) Water-weakening of sandstone and quartzite deformed at various stress and strain rates. Int J Rock Mech Min Sci Geomech Abstr 28(5):431–439
He MC, Jing HH, Sun XM (2002) Soft rock engineering mechanics. Science Press, Beijing
He MC, Fang ZJ, Zhang P (2009) Atomic and electronic structures of montmorillonite in soft rock. Chin Phys B 18(7):2933–2937
Huang D, Gu DM (2017) Influence of filling-drawdown cycles of the Three Gorges reservoir on deformation and failure behaviors of anaclinal rock slopes in the Wu Gorge. Geomorphology 295:489–506
Jiang Q, Jiang Y, Cui J, Feng X (2014) Application of computerized tomographic scanning to the study of water-induced weakening of mudstone. Bull Eng Geol Environ 73:1293–1301
Keats JB, Lawrence FP (1997) Weibull maximum likelihood parameter estimates with censored data. J Qual Technol 29:105–110
Lemaitre J (1985) A continuous damage mechanics model for ductile materials. J Eng Mater Technol 107(1):83–89
Lemaitre J (1992) A course on damage mechanics. Springer, Berlin
Li G, Tang CA (2015) A statistical meso-damage mechanical method for modeling trans-scale progressive failure process of rock. Int J Rock Mech Min Sci 74:133–150
Li SY, Lai YM, Zhang SJ, Liu D (2009) An improved statistical damage constitutive model for warm frozen clay based on Mohr–Coulomb criterion. Cold Reg Sci Technol 57:154–159
Li X, Cao WG, Su YH (2012) A statistical damage constitutive model for softening behavior of rocks. Eng Geol 143–144:1–17
Li XP, Lu YN, Wang YJ (2013) Research on damage model of single jointed rock masses under coupling action of freeze–thaw and loading. Chin J Rock Mech Eng 32(11):2307–2315
Li YW, Jia D, Rui ZH, Peng JY, Fu CK, Zhang J (2017) Evaluation method of rock brittleness based on statistical constitutive relations for rock damage. J Pet Sci Eng 153:123–132
Liu XY, Fu Y, Wang YX, Huang LW, Qin XY (2008) Deterioration rules of shear strength of sand rock under water–rock interaction of reservoir. Chin J Geotech Eng 30(9):1298–1302
Liu HY, Lv SR, Zhang LM, Yuan XP (2015) A dynamic damage constitutive model for a rockmass with persistent joints. Int J Rock Mech Min Sci 75:132–139
Lu YL, Wang LG, Sun XK, Wang J (2017) Experimental study of the influence of water and temperature on the mechanical behavior of mudstone and sandstone. Bull Eng Geol Environ 76:645–660
Ma TS, Yang CH, Chen P, Wang XD, Guo YT (2016) On the damage constitutive model for hydrated shale using CT scanning technology. J Nat Gas Sci Eng 28:204–214
Qiao PZ, Chen FL (2013) Cohesive fracture and probabilistic damage analysis of freezing–thawing degradation of concrete. Constr Build Mater 47:879–887
Sun GH, Zheng H, Huang YY, Li CG (2016) Parameter inversion and deformation mechanism of Sanmendong landslide in the Three Gorges Reservoir region under the combined effect of reservoir water level fluctuation and rainfall. Eng Geol 205:133–145
Suzuki T, Shiotani T, Ohtsu M (2017) Evaluation of cracking damage in freeze–thawed concrete using acoustic emission and X-ray CT image. Constr Build Mater 136:619–626
Tang CA (1997) Numerical simulation of progressive rock failure and associated seismicity. Int J Rock Mech Min Sci 34(2):249–261
Tang CA, Kaiser PK (1998) Numerical simulation of cumulative damage and seismic energy release during brittle rock failure— Part I: Fundamentals. Int J Rock Mech Min Sci 35(2):113–121
Tang SB, Tang CA (2012) Numerical studies on tunnel floor heave in swelling ground under humid conditions. Int J Rock Mech Min Sci 55:139–150
Taylor LM, Chen EP, Kuszmaul JS (1986) Microcrack induced damage accumulation in brittle rock under dynamic loading. Comput Methods Appl Mech Eng 55:301–320
Van Eeckhout EM (1976) The mechanisms of strength reduction due to moisture in coal mine shales. Int J Rock Mech Min Sci Geomech Abstr 13(2):A22
Wang ZL, Li YC, Wang JG (2007) A damage-softening statistical constitutive model considering rock residual strength. Comput Geosci 33:1–9
Wasantha PLP, Ranjitha PG (2014) Water-weakening behavior of Hawkesbury sandstone in brittle regime. Eng Geol 178:91–101
Weibull W (1951) A statistical distribution function of wide applicability. J Appl Mech 18:293–297
Wen B, Shen J, Tan J (2008) The influence of water on the occurrence of Qianjiangping landslide. Hydrogeol Eng Geol 3:12–17
Yilmaz I (2010) Influence of water content on the strength and deformability of gypsum. Int J Rock Mech Min Sci 47(2):342–347
Zeng S, Li ZC, Wei H, Guo X, Wang J (2013) Stability analysis of red sandstone bedding slope under rainfall infiltration and dry-wet cycling. Rock Soil Mech 34(6):1536–1540, 1559
Zhang HM, Yang GS (2010) Research on damage model of rock under coupling action of freeze–thaw and load. Chin J Rock Mech Eng 29(3):471–476
Zhang QS, Yang GS, Ren JX (2003) New study of damage variable and constitutive equation of rock. Chin J Rock Mech Eng 22(1):30–34
Zhang N, He MC, Liu PY (2012) Water vapor sorption and its mechanical effect on clay-bearing conglomerate selected from China. Eng Geol 141–142:1–8
Zhang S, Xu Q, Hu ZM (2016) Effects of rainwater softening on red mudstone of deep-seated landslide. Southwest China Eng Geol 204:1–13
Zhang JY, Wan LP, Pan HY, Li JL, Luo ZS, Deng HF (2017) Long-term stability of bank slope considering characteristics of water–rock interaction. Chin J Geotech Eng 39(10):1851–1858
Zhou SW, Xia CC, Hu YS, Zhou Y, Zhang PY (2015) Damage modeling of basaltic rock subjected to cyclic temperature and uniaxial stress. Int J Rock Mech Min Sci 77:163–173
Zuo QH, Disilvestro D, Richter JD (2010) A crack-mechanics based model for damage and plasticity of brittle materials under dynamic loading. Int J Solids Struct 47:2790–2798
Acknowledgements
The authors gratefully acknowledge the support by the National Key R&D Program of China (Grant no. 2016YFC0401802), the State Key Program of National Natural Science of China (Grant no. 51539002), the National Natural Science Foundation of China (nos. 51779249, 51209198, 51204158 and 51409265), the Natural Science Foundation of Hubei Province (Grant no. 2018CFB632) and the Natural Science Foundation of Zhejiang Province (Grant no. LY13E090003).
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Bian, K., Liu, J., Zhang, W. et al. Mechanical Behavior and Damage Constitutive Model of Rock Subjected to Water-Weakening Effect and Uniaxial Loading. Rock Mech Rock Eng 52, 97–106 (2019). https://doi.org/10.1007/s00603-018-1580-4
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DOI: https://doi.org/10.1007/s00603-018-1580-4