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Fatigue and damage properties of non-consecutive jointed mudstone samples subjected to cyclic triaxial loading

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Abstract

Non-consecutive jointed mudstone samples with dip angles (0° is the horizontal axis) of 15°, 30°, and 45° were subjected to a series of cyclic triaxial loading tests at various frequencies, with the aim of evaluating the fatigue and damage properties of jointed mudstone samples, including the ultimate cycle number, maximum axial strain, damage evolution, and failure behavior. The results from the tests indicate the following: (i) the higher the frequency, the greater the maximum axial strain difference and the higher the value of Eavl (average Young’s modulus during loading) and Eavu (average Young’s modulus during unloading), and (ii) compared with triaxial compressive loading, additional cracks are found in the samples subjected to cyclic loading, and the propagation of cracks initiates from the joint tip toward the two ends of the sample. Meanwhile, under the condition of a lower frequency, additional cracks occur after failure. Based on the experimental data, a new indicator (RS), considering the effect of the amplitude, peak deviatoric stress, and valley deviatoric stress, was proposed to indicate the stress level. At the same RS and dip angle, there is a positive correlation between frequency and lgNf (Nf is the number of cycles before the failure of the rock samples, and lgNf is the logarithmic value of Nf). Furthermore, a newly proposed damage variable based on shear strain is used to describe the damage evolution of jointed mudstone subjected to cyclic triaxial loading.

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References

  • Bagde MN, Petros V (2005) Fatigue properties of intact sandstone samples subjected to dynamic uniaxial cyclical loading. Int J Rock Mech Min Sci 42(2):237–250

    Google Scholar 

  • Brown ET, Hudson JA (1973) Fatigue failure characteristics of some models of jointed rock. Earthq Eng Struct Dyn 2(4):379–386

    Google Scholar 

  • Erarslan N, Williams DJ (2012) Mechanism of rock fatigue damage in terms of fracturing modes. Int J Fatigue 43:76–89

    Google Scholar 

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

    Google Scholar 

  • Gatelier N, Pellet F, Loret B (2002) Mechanical damage of an anisotropic rock under cyclic triaxial tests. Int J Rock Mech Min Sci 39(3):335–354

    Google Scholar 

  • Gentier S, Riss J, Archambault G, Flamand R, Hopkins D (2000) Influence of fracture geometry on shear behavior. Int J Rock Mech Min Sci 37(1-2):161–174

    Google Scholar 

  • Hao H, Wu Y, Ma G, Zhou Y (2001) Characteristics of surface ground motions induced by blast in jointed rock mass. Soil Dyn Earthq Eng 21(2):85–98

    Google Scholar 

  • Hutson RW, Dowding CH (1990) Joint asperity degradation during cyclic shear. Int J Rock Mech Min Sci Geomech Abstr 27(2):109–119

    Google Scholar 

  • Hu YX (2006) Earthquake Engineering. Seismological Press, Beijing

    Google Scholar 

  • Jaeger JC, Cook NGW, Zimmerman RW (2007) Fundamentals of rock mechanics. Blackwell Pub

  • Jafari MK, Pellet F, Boulon M, Hosseini KA (2004) Experimental study of mechanical behaviour of rock joints under cyclic loading. Rock Mech Rock Eng 37(1):3–23

    Google Scholar 

  • Jing L, Stephansson O, Nordlund E (1993) Study of rock joints under cyclic loading conditions. Rock Mech Rock Eng 26(3):215–232

    Google Scholar 

  • Jun P, Guan R, Mengdi Y, Wong LNY, Zhicheng T (2018) Acoustic emission characteristics of a fine-grained marble with different thermal damages and specimen sizes. Bull Eng Geol Environ. https://doi.org/10.1007/s10064-018-1375-6

  • Kulatilake PHSW, He W, UM J, Wang H (1997) A physical model study of jointed rock mass strength under uniaxial compressive loading. Int J Rock Mech Min Sci 34(3/4):165.e1–165.e15

    Google Scholar 

  • Lemaitre J (1996) A course on damage mechanics. Springer Publishing

  • Lee DH, Chen PY, Wu JH, Chen HL, Yang YE (2013) Method of mitigating the surface erosion of a high-gradient mudstone slope in southwest Taiwan. Bull Eng Geol Environ 72(3-4):533–545

    Google Scholar 

  • Li JC, Ma GW (2009) Experimental study of stress wave propagation across a filled rock joint. Int J Rock Mech Min Sci 46(3):471–478

    Google Scholar 

  • Li N, Chen W, Zhang P, Swoboda G (2001a) The mechanical properties and a fatigue-damage model for jointed rock masses subjected to dynamic cyclical loading. Int J Rock Mech Min Sci 38(7):1071–1079

    Google Scholar 

  • Li N, Chen WL, Zhang P (2001b) Strength properties of the jointed rock mass medium under dynamic cyclic loading. Prog Nat Sci 11(3):200–201

    Google Scholar 

  • Li YP, Chen LZ, Wang YH (2005) Experimental research on pre-cracked marble under compression. Int J Solids Struct 42(9):2505–2516

    Google Scholar 

  • Liu E, He S (2012) Effects of cyclic dynamic loading on the mechanical properties of intact rock samples under confining pressure conditions [J]. Eng Geol 125(none):81–91

    Google Scholar 

  • Liu E, Huang R, He S (2012) Effects of frequency on the dynamic properties of intact rock samples subjected to cyclic loading under confining pressure conditions [J]. Rock Mech Rock Eng 45(1):89–102

    Google Scholar 

  • Liu HY, Lv SR, Zhang LM, Yuan XP (2015) A dynamic damage constitutive model for a rock mass with persistent joints. Int J Rock Mech Min Sci 75:132–139

    Google Scholar 

  • Liu M, Liu E (2017) Dynamic mechanical properties of artificial jointed rock samples subjected to cyclic triaxial loading. Int J Rock Mech Min Sci 98:54–66

    Google Scholar 

  • Liu XG, Zhu WC, Yu QL, Chen SJ, Li RF (2017) Estimation of the joint roughness coefficient of rock joints by consideration of two-order asperity and its application in double-joint shear tests. Eng Geol 220:243–255

    Google Scholar 

  • Liu XR, Kou MM, Lu YM, Liu YQ (2018a) An experimental investigation on the shear mechanism of fatigue damage in rock joints under pre-peak cyclic loading condition. Int J Fatigue 106:175–184

    Google Scholar 

  • Liu Y, Dai F, Dong L, Xu N, Feng P (2018b) Experimental investigation on the fatigue mechanical properties of intermittently jointed rock models under cyclic uniaxial compression with different loading parameters. Rock Mech Rock Eng 51:47. https://doi.org/10.1007/s00603-017-1327-7

    Article  Google Scholar 

  • Luo YH (2011) Study on complex slopes response law under earthquake action (in Chinese with English abstract). PhD thesis, Chengdu University of Technology, Chengdu

  • Mirzaghorbanali A, Nemcik J, Aziz N (2014) Effects of cyclic loading on the shear behaviour of infilled rock joints under constant normal stiffness conditions. Rock Mech Rock Eng 47(4):1373–1391

    Google Scholar 

  • Prost GL (1988) Jointing at rock contacts in cyclic loading. Int J Rock Mech Min Sci Geomech Abstr 25(5):263–272

    Google Scholar 

  • Ramamurthy T, Arora VK (1994) Strength predictions for jointed rocks in confined and unconfined states. Int J Rock Mech Min Sci Geomech Abstr 31(1):9–22

    Google Scholar 

  • Reik G, Zacas M (1978) Strength and deformation characteristics of jointed media in true triaxial compression. Int J Rock Mech Min Sci Geomech Abstr 15(6):295–303

    Google Scholar 

  • Rengers N (1970) Influence of surface roughness on the friction properties of rock planes. In: Congress of the international society of rock mechanics, vol 1970, pp 229–234

    Google Scholar 

  • Samir B, Nourredine M, Luca V, Giuseppe L (2019) Investigation on shear modulus and damping ratio of algiers marls under cyclic and dynamic loading conditions. Bull Eng Geol Environ 78(4):2473–2493

    Google Scholar 

  • Slatalla N, Alber M, Kahraman S (2010) Analyses of acoustic emission response of a fault breccia in uniaxial deformation. Bull Eng Geol Environ 69(3):455–463

    Google Scholar 

  • Tang ZC, Huang RQ, Liu QS, Wong LNY (2016) Effect of contact state on the shear behavior of artificial rock joint. Bull Eng Geol Environ 75(2):761–769

    Google Scholar 

  • Walsh JB, Brace WF (1964) A fracture criterion for brittle anisotropic rock [J]. J Geophys Res 69(16):3449–3456

    Google Scholar 

  • Wong LNY, Einstein HH (2009a) Crack coalescence in molded gypsum and Carrara marble: Part 1. Macroscopic Observations and Interpretation. Rock Mech Rock Eng 42(3):475–511

    Google Scholar 

  • Wong LNY, Einstein HH (2009b) Crack coalescence in molded gypsum and Carrara marble: Part 2—Microscopic Observations and Interpretation. Rock Mech Rock Eng 42(3):513–545

    Google Scholar 

  • Wong LNY, Einstein HH (2009c) Systematic evaluation of cracking behavior in specimens containing single flaws under uniaxial compression. Int J Rock Mech Min Sci 46(2):239–249

    Google Scholar 

  • Xiao J, Ding D, Jiang F, Xu G (2010) Fatigue damage variable and evolution of rock subjected to cyclic loading. Int J Rock Mech Min Sci 47(3):461–468

    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(1):1–19

    Google Scholar 

  • Yang SQ, Ranjith PG, Huang YH, Yin PF, Jing HW, Gui YL, Yu QL (2015) Experimental investigation on mechanical damage characteristics of sandstone under triaxial cyclic loading. Geophys J Int 201(2):662–682

    Google Scholar 

  • Zhang X, Jiang Q, Chen N, Wei W, Feng X (2016) Laboratory investigation on shear behavior of rock joints and a new peak shear strength criterion. Rock Mech Rock Eng 49(9):3495–3512

    Google Scholar 

  • Zhao C, Niu J, Zhang Q, Zhao C, Zhou Y (2018) Failure characteristics of rock-like materials with single flaws under uniaxial compression. Bull Eng Geol Environ 78(1):593–603

    Google Scholar 

  • Zheng Q, Liu E, Liu M (2019) Influence of the dip angle of structural planes on mechanical properties of artificial rock samples under triaxial test conditions. Rock Soil Mech 40(05):1854–1861+1868 (in Chinese)

    Google Scholar 

  • Zou C, Wong LNY (2016) Size and geometry effects on the mechanical properties of carrara marble under dynamic loadings. Rock Mech Rock Eng 49(5):1695–1708

    Google Scholar 

Download references

Funding

This research was supported by the National Key Research and Development of China (Project No. 2017YFC1501003).

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Authors and Affiliations

  1. State Key Laboratory of Hydraulics and Mountain River Engineering, College of Water Resources and Hydropower, Sichuan University, Chengdu, 610065, China

    Qingsong Zheng, Enlong Liu & Di Yu

  2. State Key Laboratory of Frozen Soil Engineering, Cold and Arid Regions Environmental and Engineering Research Institute, Chinese Academy of Sciences, 320 Donggang West Road, Lanzhou, 730000, China

    Enlong Liu

  3. Institute for Disaster Management and Reconstruction, Sichuan University, Chengdu, 610065, China

    Di Yu

  4. School of Civil Engineering and Architecture, East China Jiaotong University, Nanchang, 330013, China

    Mingxing Liu

Authors
  1. Qingsong Zheng
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  2. Enlong Liu
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  4. Mingxing Liu
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Correspondence to Enlong Liu.

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Zheng, Q., Liu, E., Yu, D. et al. Fatigue and damage properties of non-consecutive jointed mudstone samples subjected to cyclic triaxial loading. Bull Eng Geol Environ 79, 2467–2481 (2020). https://doi.org/10.1007/s10064-019-01693-x

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  • DOI: https://doi.org/10.1007/s10064-019-01693-x

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