Skip to main content
Log in

Modelling of Fatigue Damage Evolution of Two Natural Rocks Under Cyclic Loading

  • Original Paper
  • Published:
International Journal of Geosynthetics and Ground Engineering Aims and scope Submit manuscript

Abstract

Many civil, mining and transportation structures located in rocks are subjected to repeated loading and unloading cycles. Each cycle of load causes fatigue damage which accumulates with increasing cycles. In the present study, damage evolution of two natural rocks namely Garhwal gneiss and Shivpuri sandstone from India has been studied through laboratory tests. The Garhwal gneiss specimens were studied under uniaxial cyclic loading by adopting incremental loading scheme. Load was applied through load control mode and four different loading rates were employed. The Shivpuri sandstone was tested under low confining pressure conditions adopting the similar incremental loading scheme but under displacement-controlled environment. Damage evolution of these rocks was discussed in the form of modulus, irreversible strain, and dissipated energy. Applicability of inverted S-curve model to represent the damage evolution was evaluated. It is observed that irreversible strain and dissipated energy modelled the fatigue damage evolution in better way as compared to modulus. It was also observed that for tests conducted under load-controlled environment, the irreversible strain evolution was more systematic whereas for tests performed under displacement-controlled environment dissipated energy was a better indicator of fatigue damage evolution.

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

Access this article

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

Instant access to the full article PDF.

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
Fig.16
Fig. 17
Fig. 18
Fig. 19
Fig. 20

Similar content being viewed by others

Availability of Data and Material

Not applicable.

Code Availability

Not applicable.

References

  1. Cerfontaine B, Collin F (2018) Cyclic and fatigue behaviour of rock materials: review, interpretation and research perspectives. Rock Mech Rock Eng 51:391–414. https://doi.org/10.1007/s00603-017-1337-5

    Article  Google Scholar 

  2. Eberhardt E, Stead D, Stimpson B (1999) Quantifying pre-peak progressive fracture damage in rock during uniaxial loading. Int J Rock Mech Min Sci 36(3):361–380

    Article  Google Scholar 

  3. Song R, 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 

  4. Wang ZC, Li SC, Qiao LP, Zhao JG (2013) Fatigue behavior of granite subjected to cyclic loading under triaxial compression condition. Rock Mech Rock Eng 46:1603–1615

    Article  Google Scholar 

  5. Liu J, Xie H, Hou Z, Yang C, Chen L (2014) Damage evolution of rock salt under cyclic loading in unixial tests. Acta Geotech 9(1):153–160

    Article  Google Scholar 

  6. Rukhaiyar S, Samadhiya NK (2018) Strength behavior of rocks under cyclic loading. Indian Geotech J 48:176–187. https://doi.org/10.1007/s40098-017-0238-6

    Article  Google Scholar 

  7. Tien Y, Lee D, Juang C (1990) Strain, pore pressure and fatigue characteristics of sandstone under various load conditions. Int J Rock Mech Min Sci Geomech Abstr 27(4):283–289

    Article  Google Scholar 

  8. Li N, Zhang P, Chen Y, Swoboda G (2003) Fatigue properties of cracked, saturated and frozen sandstone samples under cyclic loading. Int J Rock Mech Min Sci 40(1):145–150. https://doi.org/10.1016/S1365-1609(02)00111-9

    Article  Google Scholar 

  9. Zhang P, Xu J, Li N (2008) Fatigue properties analysis of cracked rock based on fracture evolution process. J Cent South Univ 15:95–99. https://doi.org/10.1007/s1177100800196

    Article  Google Scholar 

  10. Xiao JQ, Ding DX, Xu G (2009) Inverted S-shaped model for nonlinear fatigue damage of rock. Int J Rock Mech Min Sci 46(3):643–648

    Article  Google Scholar 

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

    Article  Google Scholar 

  12. 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. https://doi.org/10.1016/j.enggeo.2011.11.007

    Article  Google Scholar 

  13. Guo Y, Yang C, Mao H (2012) Mechanical properties of Jintan mine rock salt under complex stress paths. Int J Rock Mech Min Sci 56:54–61. https://doi.org/10.1016/j.ijrmms.2012.07.025

    Article  Google Scholar 

  14. Momeni A, Karakus M, Khanlari GR, Heidari M (2015) Effects of cyclic loading on the mechanical properties of a granite. Int J Rock Mech Min Sci 77:89–96. https://doi.org/10.1016/j.ijrmms.2015.03.029

    Article  Google Scholar 

  15. Martin C, Chandler N (1994) The progressive fracture of Lac du Bonnet granite. Int J Rock Mech Min Sci 31(6):643–659

    Article  Google Scholar 

  16. Liu J, Xie H, Hou Z, Yang C, Chen L (2014) Damage evolution of rock salt under cyclic loading in uniaxial tests. Acta Geotech 9(1):153–160. https://doi.org/10.1007/s11440-013-0236-5

    Article  Google Scholar 

  17. Liu Y, Dai F, Fan P, Xu N, Dong L (2017) Experimental investigation of the influence of joint geometric configurations on the mechanical properties of intermittent jointed rock models under cyclic uniaxial compression. Rock Mech Rock Eng 50(6):1453–1471. https://doi.org/10.1007/s00603-017-1190-6

    Article  Google Scholar 

  18. Royer-Carfagni G, Salvatore W (2000) The characterization of marble by cyclic compression loading: experimental results. Mech Cohes Frict Mater 5(7):535–563. https://doi.org/10.1002/1099-1484(200010)5:73.0.CO;2-D

    Article  Google Scholar 

  19. Bagde M, Petroš V (2005) Fatigue properties of intact sandstone samples subjected to dynamic uniaxial cyclical loading. Int J Rock Mech Min Sci 42(2):237–250. https://doi.org/10.1016/j.ijrmms.2004.08.008

    Article  Google Scholar 

  20. Li T, Pei X, Wang D, Huang R, Tang H (2019) Nonlinear behavior and damage model for fractured rock under cyclic loading based on energy dissipation principle. Eng Fract Mech 206:330–341

    Article  Google Scholar 

  21. Gong F, Zhang P, Luo S, Li J, Huang D (2021) Theoretical damage characterisation and damage evolution process of intact rocks based on linear energy dissipation law under uniaxial compression. Int J Rock Mech Min Sci 146:104858

    Article  Google Scholar 

  22. Gao Y, Feng X-T (2019) Study on damage evolution of intact and jointed marble subjected to cyclic true triaxial loading. Eng Fract Mech 215:224–234. https://doi.org/10.1016/j.engfracmech.2019.05.011

    Article  Google Scholar 

  23. Kumar R (2016) Behavior of Natural Rocks Under Uniaxial Cyclic Compression. M.Tech. Dissertation, Indian Institute of Technology Roorkee, Roorkee-247667, India

  24. IS 9179–1979 (Reaffirmed 2001): Methods for preparation of rock specimen for laboratory testing. Bureau of Indian Standards, New Delhi, India

  25. IS 9143–1979 (Reaffirmed 2001): Method for the determination of unconfined compressive strength of rock materials. Bureau of Indian Standards, New Delhi, India

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

    Article  Google Scholar 

  27. Song H, Zhang H, Fu D, Zhang Q (2016) Experimental analysis and characterization of damage evolution in rock under cyclic loading. Int J Rock Mech Min Sci 88:157–164. https://doi.org/10.1016/j.ijrmms.2016.07.015

    Article  Google Scholar 

  28. Munoz H, Taheri A (2017) Local damage and progressive localisation in porous sandstone during cyclic loading. Rock Mech Rock Eng. https://doi.org/10.1007/s00603-017-1298-8

    Article  Google Scholar 

  29. Deere DU, Miller RP (1966) Engineering Classification and Index Properties for Intact Rock, Technical Report No. AFNL-TR-65- 116. Air Force Weapons Laboratory, New Mexico

  30. Singh M, Lakshami V, Yudhbir SLP (2015) Effect of pre-loading with tensile stress on laboratory UCS of a synthetic rock. Rock Mech Rock Eng 48:53–60

    Article  Google Scholar 

  31. Arora K, Chakraborty T, Rao KS (2019) Experimental study on stiffness degradation of rock under uniaxial cyclic sinusoidal compression loading. Rock Mech Rock Eng 52:4785–4797. https://doi.org/10.1007/s00603-019-01835-3

    Article  Google Scholar 

  32. 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 

  33. Fuenkajorn K, Phueakphum D (2010) Effects of cyclic loading on mechanical properties of Maha Sarakham salt. Eng Geol 112(1–4):43–52. https://doi.org/10.1016/j.enggeo.2010.01.002

    Article  Google Scholar 

Download references

Funding

Not applicable.

Author information

Authors and Affiliations

Authors

Contributions

All authors contributed equally; All authors read and approved the final manuscript.

Corresponding author

Correspondence to Mahendra Singh.

Ethics declarations

Conflict of interest

No conflict of interest.

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

Singh, M., Khalkho, P. Modelling of Fatigue Damage Evolution of Two Natural Rocks Under Cyclic Loading. Int. J. of Geosynth. and Ground Eng. 8, 8 (2022). https://doi.org/10.1007/s40891-021-00348-w

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s40891-021-00348-w

Keywords

Navigation