Skip to main content
SpringerLink
Log in

Fatigue-Damage Evolution Characteristics of Interbeded Marble Subjected to Dynamic Uniaxial Cyclic Loads

  • Original Paper
  • Published:
Geotechnical and Geological Engineering Aims and scope Submit manuscript

Abstract

In this work, uniaxial fatigue tests combined with post-test X-ray computed tomography (CT) scanning were conducted on marble samples with different interbed orientations, in order to reveal the anisotropic damage evolution characteristics during rock failure. The dynamic elastic modulus, damping ratio, fatigue deformation, damage evolution, accumulative damage modeling and crack pattern were systematically analyzed. The testing results indicate that the interbed structure in marble affects the damage evolution and the associated dynamic mechanical behaviors. The damage curve in “S” style indicates three-stage trend, namely, initial damage stage, steady damage stage and the accelerated damage stage. The damage index during cyclic deformation for marble presents obvious discrepancy. In addition, a fatigue damage prediction models was employed numerically as double-term power equations based on the experimental data. It is found that the selected damage model is suitable in modeling the rapid damage growth in the early and final stage of rock fatigue lifetime. Moreover, post-test CT scanning further reveals the anisotropic damage characteristics of marble, the crack pattern in the fractured sample is controlled by the interbed structure. What is more, the most striking founding is that the fracture degree is in consistent with the damage accumulation within the steady damage stage. Through a series of damage mechanical behavior analysis, the internal mechanism of the effect of interbed orientation on damage evolution of marble is firstly documented.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15

Similar content being viewed by others

Data Availability

All data, models, and code generated or used during the study appear in the submitted article.

References

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

    Article  Google Scholar 

  • Bagde MN, Petroš V (2009) Fatigue and dynamic energy behavior of rock subjected to cyclical loading. Int J Rock Mech Min Sci 46:200–209

    Article  Google Scholar 

  • Cerfontaine B, Collin F (2018) Cyclic and fatigue behaviour of rock materials: review, interpretation and research perspectives. Rock Mech Rock Eng 51(2):391–414

    Article  Google Scholar 

  • Chen B, Zhao XJ, Feng XT, Zhao HB, Wang SY (2014) Time-dependent damage constitutive model for the marble in the Jinping II hydropower station in China. Bull Eng Geol Environ 73(2):499–515

    Article  Google Scholar 

  • Fan J, Jiang D, Liu W, Wu F, Chen J, Daemen J (2019) Discontinuous fatigue of salt rock with low-stress intervals. Int J Rock Mech Min Sci 115:77–86

    Article  Google Scholar 

  • Fu B, Hu L (2020) Experimental and numerical investigations on crack development and mechanical behavior of marble under uniaxial cyclic loading compression. Int J Rock Mech Min Sci 130:104289

    Article  Google Scholar 

  • Fuenkajorn K, Phueakphum D (2010) Effects of cyclic loading on mechanical properties of Maha Sarakham salt. Eng Geol 112:43–52

    Article  Google Scholar 

  • Ge X (1987) Study of deformation and strength behaviour of the large-sized triaxial rock samples under cyclic loading. Rock Soil Mech 8(2):11–18 (in Chinese)

    Google Scholar 

  • Ge XR, Jiang Y, Lu YD, Ren JX (2003) Testing study on fatigue deformation law of rock under cyclic loading. Chin J Rock Mech Eng 22(10):1581–1585

    Google Scholar 

  • Hao R, Cao P, Chen Y, Jin J, Wang H, Fan X (2018) Mechanical and propagating behaviors of single-flawed rock samples with hydraulic pressure and uniaxial compression conditions. Int J Geomech 18(7):04018078

    Article  Google Scholar 

  • He M, Li N, Zhu C, Chen Y, Wu H (2019) Experimental investigation and damage modeling of salt rock subjected to fatigue loading. Int J Rock Mech Min Sci 114:17–23

    Article  Google Scholar 

  • Kun M, Topaloğlu Ş, Malli T (2013) Evaluation of wheel loaders in open pit marble quarrying by using the AHP and topsis approaches/Ocena pracy ładowarki na podwoziu kołowym w odkrywkowej kopalni marmuru w oparciu o metody AHP i topsis. Arch Min Sci 58(1):255–267

    Google Scholar 

  • Li G, Moelle KH, Lewis JA (1992) Fatigue crack growth in brittle sandstones. Int J Rock Mech Min Sci Geomech. 29:469–477

    Article  Google Scholar 

  • Li SC, Xu J, Tao YQ, Tang XJ, Yang HW (2009) Low cycle fatigue damage model and damage variable expression of rock. Rock Soil Mech 6(30):1611–1615

    Google Scholar 

  • Liu E, He S (2012) Effects of cyclic dynamic loading on the mechanical properties of intact rock samples under confining pressure conditions. Eng Geol 125:81–91

    Article  Google Scholar 

  • Liu T, He J, Zhuo L, Su J, Dou P (2011) Study on mechanical characteristics and nonlinear strength criterion of marble. Water Resour Power 12:24

    Google Scholar 

  • Liu X, Yu J, Zhu Y, Yao W, Lai Y (2020) Creep damage evolution of marble from Acoustic Emission and the damage threshold. Front Earth Sci 8:58

    Article  Google Scholar 

  • Lotidis MA, Nomikos PP, Sofianos AI (2019) Laboratory study of the fracturing process in marble and plaster hollow plates subjected to uniaxial compression by combined acoustic emission and digital image correlation techniques. Rock Mech Rock Eng, pp 1–19

  • Mao H, Mahadevan S (2002) Fatigue damage modeling of composite materials. Compos Struct 58:405–410

    Article  Google Scholar 

  • Otani J, Obara Y (2004) X-ray CT for geomaterials. In: Otani J, Obara Y (eds). Balkema: Lisse

  • Peng J, Rong G, Tang Z, Sha S (2019) Microscopic characterization of microcrack development in marble after cyclic treatment with high temperature. Bull Eng Geol Environ 78(8):5965–5976

    Article  Google Scholar 

  • Petros V, Bagde MN, Holub K, Michalcik P (2003) Comparison of changes in the strength and the deformation behavior of rocks under static and dynamic loading. In: 10th Congress of the ISRM—technology roadmapfor rock mechanics, Vol. 2, 8–12 September, Sandton Convention Centre, Johannesburg, South Africa, M. Handley and Dick Stacey (Technical Co-ordinators), The South African Institute of Mining and Metallurgy, pp 899–902

  • Ray SK, Sarkar M, Singh TN (1999) Effect of cyclic loading and strain rate on the mechanical behaviour of sandstone. Int J Rock Mech Min Sci 36:543–549

    Article  Google Scholar 

  • Ren S, Bai YM, Zhang JP, Jiang DY, Yang CH (2013) Experimental investigation of the fatigue properties of salt rock. Int J Rock Mech Min Sci 64:68–72

    Article  Google Scholar 

  • Roberts LA, Buchholz SA, Mellegard KD, Düsterloh U (2015) Cyclic loading effects on the creep and dilation of salt rock. Rock Mech Rock Eng 48(6):2581–2590

    Article  Google Scholar 

  • Senseny PE, Hansen FD, Russell JE, Carter NL, Handin JW (1992) Mechanical behaviour of rock salt: phenomenology and micromechanisms. In: International journal of rock mechanics and mining sciences and geomechanics abstracts, vol 29, no 4, pp 363–378. Pergamon

  • Singh SK (1988) Relationship among fatigue strength, mean grain size and compressive strength of a rock. Rock Mech Rock Eng 21:271–276

    Article  Google Scholar 

  • Singh SK (1989) Fatigue and strain hardening behavior of greywacke from the flagstaff formation, New South Wales. Eng Geol 26:171–179

    Article  Google Scholar 

  • Su G, Chen Z, Ju JW, Jiang J (2017) Influence of temperature on the strainburst characteristics of granite under true triaxial loading conditions. Eng Geol 222:38–52

    Article  Google Scholar 

  • Taheri A, Squires J, Meng Z, Zhang Z (2017) Mechanical properties of brown coal under different loading conditions. Int J Geomech 17(11):06017020

    Article  Google Scholar 

  • Tang L, Wu J, Liu T, Zhu J, Shu J (2014) Mechanical experiments of marble under high stress and cyclic dynamic disturbance of small amplitude. J Central South Univ (Sci Technol) 12:28

    Google Scholar 

  • Tien YM, Lee DH, Juang CH (1990) Strain pore pressure and fatigue characteristics of sandstone under various load conditions. Int J Rock Mech Min Sci Geomech 27:283–289

    Article  Google Scholar 

  • Ulusay R (ed) (2014) The ISRM suggested methods for rock characterization, testing and monitoring: 2007–2014. Springer, Berlin

  • Viggiani G, Lenoir N, Bésuelle P, Di Michiel M, Desrues J, Kretzschmer M (2004) X-ray microtomography for studying localized deformation in fine grained geomaterials under triaxial compression. C R Mec Acad Sci, No. 332, pp 819–826

  • Viggiani G, Lenoir N, Bésuelle P (2004b) X-ray microtomography for studying localized deformation in fine-grained geomaterials under triaxial compression. Comptes Rendus Méc 332(10):819–826

    Article  Google Scholar 

  • Voznesenskii AS, Krasilov MN, Kutkin YO, Tavostin MN, Osipov YV (2017) Features of interrelations between acoustic quality factor and strength of rock salt during fatigue cyclic loadings. Int J Fatigue 97:70–78

    Article  Google Scholar 

  • Wang Z, Li S, Qiao L, Zhao J (2013) Fatigue behavior of granite subjected to cyclic loading under triaxial compression condition. Rock Mech Rock Eng 46(6):1603–1615

    Article  Google Scholar 

  • Wang Y, Li CH, Hu YZ (2018a) Use of X-ray computed tomography to investigate the effect of rock blocks on meso-structural changes in soil-rock mixture under triaxial deformation. Constr Build Mater 164:386–399

    Article  Google Scholar 

  • Wang Y, Que JM, Wang C, Li CH (2018b) Three-dimensional observations of meso-structural changes in bimsoil using X-ray computed tomography (CT) under triaxial compression. Constr Build Mater 190:773–786

    Article  Google Scholar 

  • Wang Y, Tan WH, Liu DQ, Hou ZQ, Li CH (2019) On anisotropic fracture evolution and energy mechanism during marble failure under uniaxial deformation. Rock Mech Rock Eng, 1–17

  • Wang Y, Gao S, Liu D, Li C (2020a) Anisotropic fatigue behaviour of interbeded marble subjected to uniaxial cyclic compressive loads. Fatigue Fract Eng Mater Struct 43(6):1170–1183

    Article  Google Scholar 

  • Wang Y, Feng WK, Li CH (2020b) On anisotropic fracture and energy evolution of marble subjected to triaxial fatigue cyclic-confining pressure unloading conditions. Int J Fatigue 134:105524

    Article  Google Scholar 

  • Wang Y, Feng WK, Wang H J, Li CH, Hou ZQ (2020c) Rock bridge fracturing characteristics in granite induced by freeze-thaw and uniaxial deformation revealed by AE monitoring and post-test CT scanning. Cold Regions Science and Technology, 103115

  • Wang Y, Han JQ, Li CH (2020d) Acoustic emission and CT investigation on fracture evolution of granite containing two flaws subjected to freeze–thaw and cyclic uniaxial increasing-amplitude loading conditions. Constr Build Mater 260:119769

    Article  Google Scholar 

  • Wang Y, Zhao QH, Xiao YG, Hou ZQ (2020e) 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 

  • Wei L, Yinping L, Chunhe Y, Deyi J, Daemen JJK, Jie C, Junfeng K (2016) A new method of surface subsidence prediction for natural gas storage cavern in bedded rock salts. Environ Earth Sci 75(9):800

    Article  Google Scholar 

  • Weng L, Li X, Taheri A, Wu Q, Xie X (2018) Fracture evolution around a cavity in brittle rock under uniaxial compression and coupled static–dynamic loads. Rock Mech Rock Eng 51(2):531–545

    Article  Google Scholar 

  • Yang YJ, Duan HQ, Xing LY, Deng L (2019) Fatigue characteristics of coal specimens under cyclic uniaxial loading. Geotech Test J 42(2):331–346

    Article  Google Scholar 

Download references

Acknowledgements

The authors would like to thank the editors and the anonymous reviewers for their helpful and constructive comments. This study was supported by the Beijing Natural Science Foundation (8202033), the National key technologies Research & Development program (2018YFC0808402), and the Fundamental Research Funds for the Central Universities (FRF-TP-20-004A2).

Author information

Authors and Affiliations

  1. Beijing Key Laboratory of Urban Underground Space Engineering, Department of Civil Engineering, School of Civil and Resource Engineering, University of Science and Technology Beijing, 30 Xueyuan Road, Haidian District, Beijing, 100083, People’s Republic of China

    Y. Wang & S. H. Gao

  2. Institute of Acoustics, Chinese Academy of Sciences, Beijing, 100190, People’s Republic of China

    J. Q. Han

Authors
  1. Y. Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. S. H. Gao
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. J. Q. Han
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Y. Wang.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Wang, Y., Gao, S.H. & Han, J.Q. Fatigue-Damage Evolution Characteristics of Interbeded Marble Subjected to Dynamic Uniaxial Cyclic Loads. Geotech Geol Eng 39, 855–870 (2021). https://doi.org/10.1007/s10706-020-01526-9

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10706-020-01526-9

Keywords

Search

Navigation