Abstract
Freeze–thaw (F–T) cycle-induced mechanical deterioration of mudstone layers in slopes is a critical challenge for the stability of slopes located in cold-regions open pit mines. Indoor F–T cycle experiments were initially conducted on mudstone samples obtained from the North Slope of the Fushun West Open Pit Mine. Furthermore, a constitutive model for F–T damage was developed using Weibull distribution fracture mechanics. After that, a Voronoi tessellation-generating program and a program for inserting cohesive elements between tessellations were developed to establish a multi-scale thermo-mechanical coupling analysis platform in ABAQUS software. Finally, the damage constitutive model was integrated into Voronoi tessellations to simulate the mineral matrix. The research findings revealed that F–T cycles induced substantial damage to mudstone. Moreover, with an increase in the number of F–T cycles, the damage factors associated with each parameter significantly increased. Multi-scale analysis results indicated that for higher numbers of F–T cycles, samples may not necessarily develop cracks along initial flaws, but could instead be cracked in the matrix phase due to F–T damage. The F–T cycle exhibited a destructive effect on the stability of slopes in cold regions. Therefore, it is essential to consider the effect of F–T damage in the stability analysis and protection design of open-pit mine slopes in cold regions.
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References
Ademović N, Kurtović A (2020) Influence of planes of anisotropy on physical and mechanical properties of freshwater limestone (Mudstone). Constr Build Mater 268:121174. https://doi.org/10.1016/j.conbuildmat.2020.121174
Ayatollahi MR, Aliha MRM (2007) Fracture toughness study for a brittle rock subjected to mixed mode I/II loading. Int J Rock Mech Min Sci 44(4):617–624. https://doi.org/10.1016/j.ijrmms.2006.10.001
Aydan O, Sato A, Yagi M (2014) The inference of geo-mechanical properties of soft rocks and their degradation from needle penetration tests. Rock Mech Rock Eng 47(5):1867–1890. https://doi.org/10.1007/s00603-013-0477-5
Bieniawski ZT (1967a) Mechanism of brittle fracture of rock part I-theory of the fracture process. Int J Rock Mech Min Sci 4(4):395–404. https://doi.org/10.1016/0148-9062(67)90030-7
Bieniawski ZT (1967b) Mechanism of brittle fracture of rock part II-experimental studies. Int J Rock Mech Min Sci 4(4):407–423. https://doi.org/10.1016/0148-9062(67)90031-9
Bieniawski ZT (1967c) Mechanism of brittle fracture of rock part III-fracture in tension and under long-term loading. Int J Rock Mech Min Sci 4(4):425–430. https://doi.org/10.1016/0148-9062(67)90032-0
Bigoni D, Piccolroaz A (2004) Yield criteria for quasibrittle and frictional materials. Int J Solids Struct 41(11–12):2855–2878. https://doi.org/10.1016/j.ijsolstr.2003.12.024
Coviello A, Lagioia R, Nova R (2005) On the measurement of the tensile strength of soft rocks. Rock Mech Rock Eng 38(4):251–273. https://doi.org/10.1007/s00603-005-0054-7
Crook T, Willson S, Yu JG, Owen R (2003) Computational modelling of the localized deformation associated with borehole breakout in quasi-brittle materials. J Petrol Sci Eng 38(3–4):177–186. https://doi.org/10.1016/S0920-4105(03)00031-7
Crook AJL, Willson SM, Yu JG, Owen DRJ (2006a) Predictive modelling of structure evolution in sandbox experiments. J Struct Geol 28(5):729–744. https://doi.org/10.1016/j.jsg.2006.02.002
Crook AJL, Owen DRJ, Willson SM, Yu JG (2006b) Benchmarks for the evolution of shear localisation with large relative sliding in frictional materials. Comput Methods Appl Mech Eng 195(37–40):4991–5010. https://doi.org/10.1016/j.cma.2005.11.016
Desai CS, Salami MR (1987) A constitutive model and associated testing for soft rock. Int J Rock Mech Min Sci Geomech Abstr 24(5):299–307. https://doi.org/10.1016/0148-9062(87)90866-7
Dowon P, Michalowski RL (2017) Three-dimensional stability analysis of slopes in hard soil/soft rock with tensile strength cut-off. Eng Geol 229:73–84. https://doi.org/10.1016/j.enggeo.2017.09.018
Drucker DC (1980) Some classes of inelastic materials related problems basic to future technologies. Nucl Eng Des 57(2):309–322. https://doi.org/10.1016/0029-5493(80)90109-0
Fonseka GU, Krajcinovic D (1981) The continuous damage theory of brittle materials, part 2: uniaxial and plane response modes. J Appl Mech Trans ASME 48(4):816–824. https://doi.org/10.1115/1.3157740
Gao F, Cao SP, Zhou KP, Lin Y, Zhu LY (2020) (2020) Damage characteristics and energy-dissipation mechanism of frozen-thawed sandstone subjected to loading. Cold Reg Sci Technol 169:102920. https://doi.org/10.1016/j.coldregions.2019.102920
Garikipati K, Hughes TJR (1998) A study of strain localization in a multiple scale framework—the one-dimensional problem. Comput Methods Appl Mech Eng 159:193–222. https://doi.org/10.1016/S0045-7825(97)00271-5
Griffith AA (1921) The phenomena of rupture and flow in solids. Philos Trans R Soc A Math Phys Eng Sci 221(582):163–198. https://doi.org/10.1016/10.1098/rsta.1921.0006
Gui Y, Bui HH, Kodikara J (2015) An application of a cohesive fracture model combining compression, tension and shear in soft rocks. Comput Geotech 66:142–157. https://doi.org/10.1016/j.compgeo.2015.01.018
Gunzburger Y, Merrien-Soukatchoff V (2011) Near-surface temperatures and heat balance of bare outcrops exposed to solar radiation. Earth Surf Proc Land 36(12):1577–1589. https://doi.org/10.1002/esp.2167
Gunzburger Y, Merrien-Soukatchoff V, Guglielmi Y (2005) Influence of daily surface temperature fluctuations on rock slope stability: case study of the Rochers de Valabres slope (France). Int J Rock Mech Min Sci 42(3):331–349. https://doi.org/10.1016/j.ijrmms.2004.11.003
Gurson AL (1977) Continuum theory of ductile rupture by void nucleation and growth: part 1—yield criteria and flow rules for porous ductile media. Trans ASME 99(1):2–15. https://doi.org/10.1115/1.3443401
Jeng FS, Huang TH (1999) The holding mechanism of under-reamed rockbolts in soft rock. Int J Rock Mech Min Sci 36(6):761–775. https://doi.org/10.1016/s0148-9062(99)00045-5
Kazerani T (2013) Effect of micromechanical parameters of microstructure on compressive and tensile failure process of rock. Int J Rock Mech Min Sci 64:44–55. https://doi.org/10.1016/j.ijrmms.2013.08.016
Krajcinovic D (1979) Distributed damage theory of beams in pure bending. J Appl Mech Trans ASME 46(3):592–596. https://doi.org/10.1115/1.3424612
Krajcinovic D, Fonseka GU (1981) The continuous damage theory of brittle materials, part 1: general theory. J Appl Mech Trans ASME 48(4):809–815. https://doi.org/10.1115/1.3157739
Krajcinovic D, Silva MAG (1982) Statistical aspects of the continuous damage theory. Int J Solids Struct 18(7):551–562. https://doi.org/10.1016/0020-7683(82)90039-7
Krishnan GR, Zhao XL, Zaman M, Roegiers JC (1998) Fracture toughness of a soft sandstone. Int J Rock Mech Min Sci 35(6):695–710. https://doi.org/10.1016/S0148-9062(97)00324-0
Liu QQ, Cheng YP, Jin K, Tu QY, Zhao W, Zhang R (2017) Effect of confining pressure unloading on strength reduction of soft coal in borehole stability analysis. Environ Earth Sci 76(4):173. https://doi.org/10.1007/s12665-017-6509-9
Liu B, Ma YJ, Zhang G, Xu W (2018) Acoustic emission investigation of hydraulic and mechanical characteristics of muddy sandstone experienced one freeze–thaw cycle. Cold Reg Sci Technol 151(7):335–344. https://doi.org/10.1016/j.coldregions.2018.03.029
Lollino P, Andriani GF (2017) Role of brittle behaviour of soft calcarenites under low confinement: laboratory observations and numerical investigation. Rock Mech Rock Eng 50(7):1863–1882. https://doi.org/10.1007/s00603-017-1188-0
Ma QY, Ma DD, Yao ZM (2018) Influence of freeze–thaw cycles on dynamic compressive strength and energy distribution of soft rock specimen. Cold Reg Sci Technol 153(1):10–17. https://doi.org/10.1016/j.coldregions.2018.04.014
Matteo F, Marco MG, Salvatore M (2018) Thermal response of jointed rock masses inferred from infrared thermographic surveying (Acuto Test-Site, Italy). Sensors 18(7):2221. https://doi.org/10.3390/s18072221
Mu JQ, Pei XJ, Huang RQ, Rengers N, Zou XQ (2017) Degradation characteristics of shear strength of joints in three rock types due to cyclic freezing and thawing. Cold Reg Sci Technol 138:91–97. https://doi.org/10.1016/j.coldregions.2017.03.011
Murton JB, Coutard JP, Lautridou JP, Ozouf JC (2000) Experimental design for a pilot study on bedrock weathering near the permafrost table. Earth Surf Proc Land 25(12):1281–1294. https://doi.org/10.1002/1096-9837(200011)25:12%3c1281::AID-ESP137%3e3.0.CO;2-U
Murton JB, Kuras O, Krautblatter M, Cane T, Tschofen D, Uhlemann S, Schober S, Watson P (2016) Monitoring rock freezing and thawing by novel geoelectrical and acoustic techniques. J Geophys Res Earth Surf 121(12):2309–2332. https://doi.org/10.1002/2016JF003948
Okubo S, Fukui K, Qi QX (2006) Uniaxial compression and tension tests of anthracite and loading rate dependence of peak strength. Int J Coal Geol 68(3–4):196–204. https://doi.org/10.1016/j.coal.2006.02.004
Piccolroaz A, Bigoni D (2009) Yield criteria for quasibrittle and frictional materials: a generalization to surfaces with corners. Int J Solids Struct 46(20):3587–3596. https://doi.org/10.1016/j.ijsolstr.2009.06.006
Rice JR (1971) Inelastic constitutive relations for solids : an internal-variable theory and its application to metal plasticity. J Mech Phys Solids 19(6):433–455. https://doi.org/10.1016/0022-5096(71)90010-x
Shen BT (2014) Coal mine roadway stability in soft rock: a case study. Rock Mech Rock Eng 47(6):2225–2238. https://doi.org/10.1007/s00603-013-0528-y
Sun XM, Song P, Zhao CW, Zhang Y, Li G, Miao CY (2018) Physical modeling experimental study on failure mechanism of surrounding rock of deep-buried soft tunnel based on digital image correlation technology. Arab J Geosci 11(20):624. https://doi.org/10.1007/s12517-018-3979-3
Wang LP, Li N, Qi JL, Tian YZ, Xu SH (2019) A study on the physical index change and triaxial compression test of intact hard rock subjected to freeze–thaw cycles. Cold Reg Sci Technol 160(2):39–47. https://doi.org/10.1016/j.coldregions.2019.01.001
Wawersik WR, Fairhurst C (1970) A Study of brittle rock fracture in laboratory compression experiments. Int J Rock Mech Min Sci 7(5):561–575. https://doi.org/10.1016/0148-9062(70)90007-0
Xu WJ, Jie YX, Li QB, Wang XB, Yu YZ (2014) Genesis, mechanism, and stability of the Dongmiaojia landslide, yellow river, China. Int J Rock Mech Min Sci 67(2014):57–68. https://doi.org/10.1016/j.ijrmms.2014.01.010
Yang RS, Li YL, Guo DM, Yao L, Yang TM, Li TT (2017) Failure mechanism and control technology of water-immersed roadway in high-stress and soft rock in a deep mine. Int J Min Sci Technol 27(2):245–252. https://doi.org/10.1016/j.ijmst.2017.01.010
Yang C, Zhou KP, Xiong X, Deng HW, Pan Z (2021) Experimental investigation on rock mechanical properties and infrared radiation characteristics with freeze–thaw cycle treatment. Cold Reg Sci Technol 183:103232. https://doi.org/10.1016/j.coldregions.2021.103232
Yavuz H, Altindag R, Sarac S, Ugur I, Sengun N (2006) Estimating the index properties of deteriorated carbonate rocks due to freeze–thaw and thermal shock weathering. Int J Rock Mech Min Sci 43(5):767–775. https://doi.org/10.1016/j.ijrmms.2005.12.004
Yu H, Jia HS, Liu SW, Liu ZH, Li BY (2021) Macro and micro grouting process and the influence mechanism of cracks in soft coal seam. Int J Coal Sci Technol 8(5):969–982. https://doi.org/10.1007/s40789-020-00404-2
Zhang GC, He FL, Lai YH, Jia HG (2018) Ground stability of underground gateroad with 1 km burial depth: a case study from Xingdong coal mine, China. J Central South Univ 25(6):1386–1398. https://doi.org/10.1007/s11771-018-3834-4
Zhou L, Su K, Wu HG, Shi CZ (2018) Numerical investigation of grouting of rock mass with fracture propagation using cohesive finite elements. Int J Geomech 18(7):04018075. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001184
Acknowledgements
This research was financially supported by National Natural Science Foundation of China (Grant nos. 52174230, 52174229), the Natural Science Foundation of Liaoning Province (2021-KF-13-07, 2022-KF-13-02).
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YL wrote the main manuscript text; CG developed Voronoi tessellation-generating program and cohesive elements between tessellations inserting program; YZ prepared the indoor F–T cycles tests; FT established a multi-scale thermo-mechanical coupling analysis platform in ABAQUS software; ZL carried out the theoretical analysis and helped to finalize the manuscript; all authors reviewed the manuscript.
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Liang, Y., Guo, C., Zhao, Y. et al. Multi-scale analysis of mudstone freeze–thaw damage mechanism. Environ Earth Sci 83, 298 (2024). https://doi.org/10.1007/s12665-024-11617-y
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DOI: https://doi.org/10.1007/s12665-024-11617-y