Abstract
The mechanical properties of rock deteriorate under repeated wet-dry (WD) cycles, causing the deformation and failure of the rock mass. A reasonable damage constitutive model can truly reflect the whole process of rock deformation and failure. Therefore, it is of great significance to study the damage characteristics and constitutive behaviour of rock subjected to numerous WD cycles. First, sandstone from Tingliang tunnel was sampled for the WD cycle experiment, and uniaxial and triaxial tests were carried out on the rock samples after various numbers of WD cycles to analyze their macroscale damage characteristics. Then, the damage mechanisms of the rock samples under the action of WD cycling were identified by X-ray diffraction (XRD) and scanning electron microscopy (SEM). Finally, based on the test data, the WD cycle-induced damage variable, Weibull distribution function, damage threshold, Drucker-Prager (D-P) yield criterion and residual strength correction coefficient were introduced, a wet-dry loading (WDL) constitutive damage model that considers the cracking stress of rock masses was established, and the expressions of the corresponding parameters were given. The results show that an increasing number of WD cycles induces considerable variations in the macroscopic physical and mechanical parameters (such as the rock sample mass, saturated water content, longitudinal-wave velocity, compressive strength and elastic modulus), and the rate of change presents two stages, the inflection point of their rate of change is the 15th WD cycle. Microscopically, the rock sample structure changes from intact and dense to fragmented and unconsolidated; additionally, the surface roughness increases, and the mineral composition changes. The established constitutive damage model exhibited good agreement with the experimental data; thus, this model can reflect the deformation and failure of rocks under WDL conditions, and the physical meaning of each parameter is clear.
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References
An WB, Wang LG, Chen H (2020) Mechanical properties of weathered feldspar sandstone after experiencing dry-wet cycles. Adv Mater Sci Eng 2020. https://doi.org/10.1155/2020/6268945
Brace WF, Jr B, Scholz C (1966) Dilatancy in the fracture of crystalline crocks. J Geophys Resour 71(16): 39–53. https://doi.org/10.1029/JZ071i016p03939
Cao WG, Fang ZL, Tang XJ (1998) A study of statistical constitutive model for soft and damage rocks. Chin J Rock Mech Eng 17(6): 628–633. (In Chinese)
Cao RL, He SH, Wei J, et al. (2013) Study of modified statistical damage softening constitutive model for rock considering residual strength. Rock Soil Mech 34(6): 1652–1660. (In Chinese) https://doi.org/10.16285/j.rsm.2013.06.018
Cai M, Kaiser PK, Tasaka Y, et al. (2004) Generalized crack initiation and crack damage stress thresholds of brittle rock masses near underground excavations. Int J Rock Mech Min 41(5): 833–847. https://doi.org/10.1016/j.ijrmms.2004.02.001
Chen WW, Liao RX, Wang N, et al. (2019) Effects of experimental frost-thaw cycles on sandstones with different weathering degrees: a case from the Bingling Temple Grottoes, China. B Eng Geol Environ 78(7): 5311–5326. https://doi.org/10.1007/s10064-018-01454-2
Chen XX, He P, Qin Z (2018) Damage to the microstructure and strength of altered granite under wet-dry cycles. Symmetry-Basel 10(12): 716. https://doi.org/10.3390/sym10120716
Cui K, Gu X, Wu GP, et al. (2021) Study on the characteristics and mechanism of dry-wet damage of rock carrier in Helan mouths rock paintings under different conditions. Chin J Rock Mech Eng 40(06): 1236–1247. (In Chinese) https://doi.org/10.13722/j.cnki.jrme.2020.1096
Du B, Bai HB (2019) A damage constitutive model of red sandstone under coupling of wet-dry cycles and impact load. Shock Vib 2019. https://doi.org/10.1155/2019/7692424
El-Gohary MA (2013) Evaluation of treated and un-treated Nubia sandstone using ultrasonic as a non-destructive technique. J Archaeol Sci 40(4): 2190–2195. https://doi.org/10.1016/j.jas.2012.12.023
Fang JC, Deng HF, Qi Y, et al. (2019) Analysis of changes in the micromorphology of sandstone joint surface under dry-wet cycling. Adv Mater Sci Eng 2019. https://doi.org/10.1155/2019/8758203
Fener M (2011) The effect of rock sample dimension on the P-wave velocity. J Nondestruct Eval 30(2): 99–105. https://doi.org/10.1007/s10921-011-0095-7
Feng XT, Ding WX, Cui Q, et al. (2010) Coupled chemical-stress effect on rock fracturing process. Beijing: Beijing Science Press. pp 10–15. (In Chinese)
Gao F, Xie HP (1996) Statistically fractal strength theory for brittle materials. Acta Mech Solida Sin 9(1): 42–51. https://doi.org/10.1016/1359-6454(95)00246-4
GB/T 50266-2013 (2013) Standard for Test Method of Engineering Rock Mass. (In Chinese)
Gholamreza K, Yasin A (2015) Influence of wet-dry, freeze-thaw, and heat-cool cycles on the physical and mechanical properties of Upper Red sandstones in central Iran. B Eng Geol Environ 74(4): 1287–1300. https://doi.org/10.1007/s10064-014-0691-8
Holcomb DJ, Costin LS (1987) Damage in brittle materials: experimental methods. In: Lamb JP (ed.), Proceedings of the 10th U.S. National Congress of Applied Mechanics.
Hu M, Liu YX, Song LB, et al. (2018) Constitutive model and damage evolution of mudstone under the action of dry-wet cycles. Adv Civ Eng 2018. https://doi.org/10.1155/2018/9787429
Lee CH, Jo YH, Kim J (2011) Damage evaluation and conservation treatment of the tenth century Korean rock-carved Buddha statues. Environ Earth Sci 64(1):1–14. https://doi.org/10.1007/s12665-010-0809-7
Lemaitre J (1984) How to use damage mechanics. Nucl Eng Des 80(3): 233–245. https://doi.org/10.1016/0029-5493(84)90169-9
Li SC, Xu J, Li KG, et al. (2007) Study on damages constitutive model of rocks based on Weibull distribution. J Hunan Univ Sci Technol (Nat Sci Ed) 22(4): 65–68. (In Chinese)
Li TB, Gao MB, Chen GQ, et al. (2017) A thermal-mechanical-damage constitutive model for hard brittle rocks and its preliminary application. Chin J Geotech Eng 39(8): 1477–1484. (In Chinese)
Li X, Cao WG, Su YH (2012) A Statistical damage constitutive model for softening behavior of rocks. Eng Geol 143: 1–17. https://doi.org/10.1016/j.enggeo.2012.05.005
Liu XR, Jin MH, Li DL, et al. (2018) Strength deterioration of a shaly sandstone under dry-wet cycles:a case study from the Three Gorges Reservoir in China. B Eng Geol Environ 77(4): 1607–1621. https://doi.org/10.1007/s10064-017-1107-3
Liu XR, Wang ZJ, Fu Y, et al. (2016) Macro/Microtesting and damage and degradation of sandstones under dry-wet cycles. Adv Mater Sci Eng 2016. https://doi.org/10.1155/2016/7013032
Martin CD (1993) The strength of massive Lac du Bonnet granite around underground opening. PhD thesis, University of Manitoba.
Mckenzie CK, Stacey GP, Gladwin MT (1982) Ultrasonic characteristics of a rock mass. Int J Rock Mech Min 19(1): 25–30. https://doi.org/10.1016/0148-9062(82)90707-0
Meng YY, Jing HW, Yin Q, et al. (2020) Investigation on mechanical and AE characteristics of yellow sandstone undergoing wetting-drying cycles. KSCE J Civ Eng 24(11): 3267–3278. https://doi.org/10.1007/s12205-020-0572-6
Ni HB, Zhang LP, Zhang DR, et al. (2008) Weathering of pisha-sandstones in the wind-water erosion crisscross region on the Loess Plateau. J Mt Sci 5(4): 340–349. https://doi.org/10.1007/s11629-008-0218-5
Qin Z, Chen XX, Fu HL (2018) Damage features of altered rock subjected to drying-wetting cycles. Adv Civ Eng 2018. https://doi.org/10.1155/2018/5170832
Özbek A (2013) Investigation of the effects of wetting-drying and freezing-thawing cycles on some physical and mechanical properties of selected ignimbrites. B Eng Geol Environ 73(2): 595–609. https://doi.org/10.1007/s10064-013-0519-y
Shen PW, Tang HM, Ning YB, et al. (2019) A damage mechanics based on the constitutive model for strain-softening rocks. Nucl Eng Des 80(3): 233–245. https://doi.org/10.1016/j.engfracmech.2019.106521
Shen ZL, Wang YX (2002) Review and outlook of water-rock interaction studies. Ear Sci 27(2):127–133. (In Chinese)
Shen ZL, Zhong ZS, Wen DG, et al. (1993) Advances in geochemical thermodynamics and kinetics of water-rock interaction since the 1980s. Proceedings of the First China Conference on Thermodynamics of Natural Action. Beijing. (In Chinese)
Trenhaile AS (2014) Modelling tidal notch formation by wetting and drying and salt weathering. Geomorphology 224: 139–151. https://doi.org/10.1016/j.geomorph.2014.07.014
Tuncay E, Ulusay R (2008) Relation between Kaiser effect levels and pre-stresses applied in the laboratory. Int J Rock Mech Min 45(3): 524–537. https://doi.org/10.1016/j.ijrmms.2007.07.013
Vilhelm J, Rudajev V, Lokajíček T, et al. (2013) Velocity dispersion in fractured rocks in a wide frequency range. J Appl Geophys 90:138–146. https://doi.org/10.1016/j.jappgeo.2013.01.010
Wang LQ, Yin YP, Huang BL, et al. (2020) A study of the treatment of a dangerous thick submerged rock mass in the three gorges reservoir area. B Eng Geol Environ 79: 2579–2590. https://doi.org/10.1007/s10064-020-01724-y
Wang LQ, Yin YP, Huang BL, et al. (2020) Damage evolution and stability analysis of the Jianchuandong Dangerous Rock Mass in the Three Gorges Reservoir Area. Eng Geol 265. https://doi.org/10.1016/j.enggeo.2019.105439
Wang XS, Wan L, Huang JZ, et al. (2014) Variable temperature and moisture conditions in Yungang Grottoes, China, and their impacts on ancient sculptures. Environ Earth Sci 72(8): 3079–3088. https://doi.org/10.1007/s12665-014-3213-x
Wang ZL, Li YC, Wang JG (2007) A damage-softening statistical constitutive model considering rock residual strength. Comput Geosci-UK 33(1): 1–9. https://doi.org/10.1016/j.cageo.2006.02.011
Wang ZJ, Liu XR, Yang X, et al. (2017) An improved Duncan-Chang constitutive model for sandstone subjected to drying-wetting cycles and secondary development of the model in FLAC3D. Arab J Sci Eng 42(3): 1265–1282. https://doi.org/10.1007/s13369-016-2402-1
Weibull W (1951) A statistical distribution function of wide applicability. ASME Journal of Applied Mechanics 18:293–297.
Wu XY, Zhu BL, Luo J (2008) Weathering process of black rock stratum and its thermodynamic analysis. Beijing: Science Press 15–54. (In Chinese)
Xie KN, Jiang DY, Sun ZG, et al. (2018) NMR, MRI and AE statistical study of damage due to a low number of wetting-drying cycles in sandstone from the Three Gorges Reservoir Area. Rock Mech and Rock Eng 51: 3625–3634. https://doi.org/10.1007/s00603-018-1562-6
Xu WY, Wei LD (2002) Study on statistical damage constitutive model of rock. Chin J Rock Mech Eng 21(6): 787–791. (In Chinese)
Xu XL, Karakus M, Gao F, et al. (2018) Thermal damage constitutive model for rock considering damage threshold and residual strength. J Cent South Univ 25(10): 2523–2536. https://doi.org/10.1007/s11771-018-3933-2
Xu ZH, Feng GL, Sun QC, et al. (2020) A modified model for predicting the strength of drying-wetting cycled sandstone based on the p-wave velocity. Sustainability-Basel 12(14):340–349. https://doi.org/10.3390/su12145655
Yuan W, Liu XR, Fu Y (2018) Study on deterioration of strength parameters of sandstone under the action of dry-wet cycles in acid and alkaline environment. Arab J Sci Eng 43(1): 335–348. https://doi.org/10.1007/s13369-017-2870-y
Zeng ZX, Kong LW (2019) Effect of wetting-drying-freezing-thawing cycles on the swelling behaviour of the Yanji mudstone. Environ Earth Sci 78(15). https://doi.org/10.1007/s12665-019-8447-1
Zhang JK, Li Z, Li L, et al. (2021) Study on weathering mechanism of sandstone statues in Southwest China: example from the sandstone of Niche of Sakyamuni Entering Nirvana at Dazu Rock Carvings. Nat Hazards 108(1): 775–797. https://doi.org/10.1007/s11069-021-04705-w
Zhang ZH, Jiang QH, Zhou CB, et al. (2014) Strength and failure characteristics of Jurassic Red-Bed sandstone under cyclic wetting-drying conditions. Geophys J Int 198(2): 1034–1044. https://doi.org/10.1093/gji/ggu181
Zhao YF, Ren S, Jiang DY, et al. (2018) Influence of wetting-drying cycles on the pore structure and mechanical properties of mudstone from Simian Mountain. Constr Build Mater 191: 923–931. https://doi.org/10.1016/j.conbuildmat.2018.10.069
Acknowledgements
This work was supported by the National Natural Science Foundation of China (Grant No. 52108367) and Guangxi University Young and middle-aged teachers’ basic scientific research ability improvement project (2020ky01011).
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Huang, Z., Zhang, W., Zhang, H. et al. Damage characteristics and new constitutive model of sandstone under wet-dry cycles. J. Mt. Sci. 19, 2111–2125 (2022). https://doi.org/10.1007/s11629-021-7239-8
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DOI: https://doi.org/10.1007/s11629-021-7239-8