Skip to main content
Log in

Study on nonlinear damage creep constitutive model for high-stress soft rock

  • Original Article
  • Published:
Environmental Earth Sciences Aims and scope Submit manuscript

Abstract

Rock engineering especially deep rock engineering undergoing long-term effects of external loading and gravity all or most may gradually damage deformation or creep deformation accumulation, leading rock structures to damage, crack, such as severe plastic deformation or even progressive failure. In this paper, based on the nonlinear damage creep characteristics of rock and damage variable, a new nonlinear damage creep constitutive model of high-stress soft rock is defined in series with the improved Burgers model, Hooke model and St. Venant model. This new nonlinear damage creep constitutive model can work out fairly reasonably explanations for the soft rock creep deformation. A series of uniaxial compression creep tests were performed to study the creep damage characteristics of typical soft rock in Jinchuan No.2 Mine in the northwest of China. Using the increment step loading and single-step loading, the results of creep experiments and nonlinear damage creep constitutive model results are very consistent in this study. The new model not only can reflect the whole course of creep deformation, but also can reasonably describe the soft rock under different initial creep stage, steady-state creep stage and accelerated creep stage. Therefore, the new nonlinear creep damage model is a reasonable reference model for the research of soft rock creep.

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.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7

Similar content being viewed by others

References

  • Bikong C, Hoxha D, Shao JF (2015) A micro-macro model for time-dependent behavior of clayey rocks due to anisotropic propagation of microcracks. Int J Plasticity 69:73–88

    Article  Google Scholar 

  • Chang KT, Ge L, Lin HH (2015) Slope creep behavior: observations and simulations. Environ Earth Sci 73:275–287

    Article  Google Scholar 

  • Chen W, Konietzky H (2014) Simulation of heterogeneity, creep, damage and lifetime for loaded brittle rocks. Tectonophysics 633:164–175

    Article  Google Scholar 

  • Fan QY, Yang KQ, Wang WM (2010) Study of creep mechanism of argillaceous soft rocks. Chin J Rock Mech Eng 29(8):1555–1561

    Google Scholar 

  • Gasc-Barbier M, Chanchole S, Berest P (2004) Creep behavior of Bure clayey rock. Appl Clay Sci 26:449–458

    Article  Google Scholar 

  • Hakan O, Ihsan O, Cem S (2014) Measurement and mathematical modelling of the creep behaviour of Tuzkoy rock salt. Int J Rock Mech Min Sci 66:128–135

    Google Scholar 

  • He ZM, Wu W, Fu HY (2013) Process stability of soft rock high slope based on strain softening model. J Cent South Univ 44(3):1203–1208

    Google Scholar 

  • Hou Z, Wundram L, Meyer R, Schmidt M, Schmitz S, Were P (2012) Development of a long-term wellbore sealing concept based on numerical simulations and in situ-testing in the Altmark natural gas field. Environ Earth Sci 67:395–409

    Article  Google Scholar 

  • Jiang YZ, Zhang MM, Li LQ (2008) Study on Nonlinear viscoelasto-plastic creep model of rock and its parameter identification. Chin J Rock Mech Eng 27(4):832–839

    Google Scholar 

  • Lai HP, Yang WJ, Xie YL (2014) Analysis on deformation and load action features of large-deformation bias highway tunnel in soft rock. J Cent South Univ 45(6):1924–1931

    Google Scholar 

  • Li DW, Wang RH, Fan JH (2011) The nonlinear creep characteristics and parameter inversion of soft rock. J China Coal Soc 36(3):388–392

    Google Scholar 

  • Li MY, Zhang HP, Xing W, Hou ZM, Were P (2015) Study of the relationship between surface subsidence and internal pressure in salt caverns. Environ Earth Sci 73:6899–6910

    Article  Google Scholar 

  • Liu L, Wang GM, Chen JH (2013) Creep experiment and rheological model of deep saturated rock. T Nonferr Metal Soc 23:478–483

    Article  Google Scholar 

  • Liu ZB, Xie SY, Shao JF (2015) Effect of deviatoric stress and structural anisotropy on compressive creep behavior of a clayey rock. Appl Clay Sci 114:491–496

    Article  Google Scholar 

  • Mishra B, Verma P (2015) Uniaxial and triaxial single and multistage creep tests on coal-measure shale rocks. Int J Coal Geol 137:55–65

    Article  Google Scholar 

  • Smith JV (2015) Self-stabilization of toppling and hillside creep in layered rocks. Eng Geol 196:139–149

    Article  Google Scholar 

  • Wang GJ (2004) A new constitutive creep-damage model for salt rock and its characteristics. Int J Rock Mech Min Sci 41(s1):61–67

    Article  Google Scholar 

  • Wang WW, Wang WX (2014a) Testing study of creep characteristic and failure mode of soft rocks at Jinchuan mine. Chin J Rock Mech Eng 33(Supp. 1):2794–2801

    Google Scholar 

  • Wang YC, Wang YY (2014b) Experimental research on creep behavior of soft rock under complex environment. J Shandong Univ Sci Tech 33(3):54–59

    Google Scholar 

  • Wang GJ, Zhang L, Zhang YW (2014) Experimental investigations of the creep-damage-rupture behaviour of rock salt. Int J Rock Mech Min Sci 66:181–187

    Google Scholar 

  • Wang LG, Dai G, Zhao GC (2015) Stability and the feedback characteristics process of the soft rock. J Liaoning Tech Univ 34(9):993–998

    Google Scholar 

  • Wu X, Jiang XW, Chen YF, Tian H, Xu NX (2009) The influences of mining subsidence on the ecological environment and public infrastructure: a case study at the Haolaigou iron ore mine in Baotou, China. Environ Earth Sci 59:803–810

    Article  Google Scholar 

  • Wu F, Liu JF, Wang J (2015) An improved Maxwell creep model for rock based on variable-order fractional derivatives. Environ Earth Sci 73:6965–6971

    Article  Google Scholar 

  • Xie HB, Yan B, Li DW (2013) Experiment on creep characteristics of soft rock in deep mine coal-bearing strata. J Lanzhou Univ 49(4):564–568

    Google Scholar 

  • Xu T, Xu Q, Deng M, Ma T, Yang T, Tang CA (2014) A numerical analysis of rock creep-induced slide: a case study from Jiweishan Mountain, China. Environ Earth Sci 72:2111–2128

    Article  Google Scholar 

  • Yahya OML, Aubertin M, Julien MR (2000) A unified representation of plasticity, creep and relaxation behaviour of rock salt. Int J Rock Mech Min Sci 37:787–800

    Article  Google Scholar 

  • Yang SQ, Ni HM, Yu SH (2007) A kind of nonlinear rheological model for rocks. J Hohai Univ 35(4):388–392

    Google Scholar 

  • Yang ZH, Yang XL, Zhang JH (2015) Upper bound analysis of collapsing area of tunnel face in broken soft rocks under different saturations. J Cent South Univ 46(6):2267–2273

    Google Scholar 

  • Yuan HP, Cao P, Xu WZ (2006) Visco-elasto-plastic constitutive relationship of rock and modified Burgers creep model. Chin J Geot Eng 28(6):796–799

    Google Scholar 

  • Zhang GK, Xu WY (2006) Analysis of a new visco-elasto-plastic model for jointed rock mass. Chin J Rock Mech Eng 25(z1):2894–2901

    Google Scholar 

  • Zhang Y, Xu WY, Shao JF (2015) Experimental investigation of creep behavior of clastic rock in Xiangjiaba hydropower project. Water Sci Eng 8(1):55–62

    Article  Google Scholar 

  • Zhou HW, Wang CP, Han BB (2011) A creep constitutive model for salt rock based on fractional derivatives. Int J Rock Mech Min Sci 48:116–121

    Article  Google Scholar 

  • Zhu JF, Yang XB, He N (2011) Experimental research on coal rock creep deformation- seepage coupling law. Proc Eng 26:1526–1531

    Article  Google Scholar 

Download references

Acknowledgments

This work was financially supported by the open research fund program of Changjiang River Scientific Research Institute (No. CKWV2012310/KY), the open research fund Program of State Key Laboratory for GeoMechanics and Deep Underground Engineering, China University of Mining and Technology (No. SKLGDUEK1406), the fundamental research fund for Hefei Key Project Construction Administration (No. 2013CGAZ0771) and China National Natural Science Foundation (Nos. 51274249; 51304057 and 51308164).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Wang Yixian.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Cao, P., Youdao, W., Yixian, W. et al. Study on nonlinear damage creep constitutive model for high-stress soft rock. Environ Earth Sci 75, 900 (2016). https://doi.org/10.1007/s12665-016-5699-x

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s12665-016-5699-x

Keywords

Navigation