Abstract
The Poynting-Thomson creep model is one of the classical combined creep models; however, it fails to demonstrate the plastic creep and the accelerated creep stage, which limit the popularization and the use of the model. The New Poynting-Thomson (NP-T) creep model is established to enhance the existing Poynting-Thomson creep model by the damage theory and the viscoplastic unit in this paper. On the basis of deducing its constitutive equation in three-dimensional finite difference form, The NP-T creep model is secondarily developed by using Visual C ++ language and FLAC3D built-in FISH language. The results of a parameter inversion indicate the superiority of the NP-T creep model that can be applied in non-uniform stress field. After validating its accuracy by the FLAC3D software, the NP-T creep model is used in a numerical simulation to reflect that the roadway stability is gradually weakened with the increase of the surrounding soft rock thickness.
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References
Chen YM, Xu DP (2013) FLAC/FLAC3D fundamentals and engineering examples (Second Edition). China Water & Power Press, Beijing
Cheng XY, Zhang W, Hu SY, Chai FX (2012) First optimization. China Building Materials Press, Beijing
Fahimifar A, Karami M, Fahimifar A (2015) Modifications to an elasto-visco-plastic constitutive model for prediction of creep deformation of rock samples. Soils Found 55(6):1364–1371. https://doi.org/10.1016/j.sandf.2015.10.003
Gao HM, Chen GX (2012) Creep model of EPS composite soil and secondary development in FEM. J Nanjing University Technol (Natural Sci Edition) 34(5):44–48(in Chinese). https://doi.org/10.3969/j.issn.1671-7627.2012.05.009
Gao WH, Liu Z, Zhu JQ (2015) MCVISC rheological model and its realization in FLAC3D program. J Disaster Prevention Mitigation Engineering v 35(2):219–225 (in Chinese). 10.13409/j.cnki.jdpme.2015.02.013
Jiang YZ, Xu WY, Wang RH, Wang W (2009) Nonlinear creep damage constitutive model of rock. J China Univ Min Technol 38(3):331–335(in Chinese). https://doi.org/10.3321/j.issn:1000-1964.2009.03.006
Kachanov M (1992) Effective elastic properties of cracked solids: critical review of some basic concepts. Appl Mech Rev 45(8):304–335. https://doi.org/10.1115/1.3119761
Liu HZ, Xie HQ, He JD, Xiao ML, Zhuo L (2017) Nonlinear creep damage constitutive model for soft rocks. Mech Time-Depend Mater 21(1):73–96. https://doi.org/10.1007/s11043-016-9319-7
Liu SS, Zhao TB (2010) Secondary development on generalized viscoelastic Kelvin model with FLAC3D. J Shandong University Sci Technol (Natural Sci) 29(4):20–23 (in Chinese). 10.16452/j.cnki.sdkjzk.2010.04.018
Ma K, Wan XL, Jia WF, Wan CH (2011) Advances in rock creep model research and discussion on some issue. Coal Geology China 23(10):43–47(in Chinese). https://doi.org/10.3969/j.issn.1674-1803.2011.10.10
Miao XX, Chen ZD (1994) A creep damage equation for rock. Acta Mech Solida Sin 16(4):343–346. https://doi.org/10.1007/BF02208222
Nedjar B, Roy RL (2013) An approach to the modeling of viscoelastic damage. Application to the long-term creep of gypsum rock materials. Int J Numer Anal Methods 37(9):1066–1078. https://doi.org/10.1002/nag.1138
Ping C, Wen Y, Wang YD, Wang YX, Yuan HP, Yuan BX (2016) Study on nonlinear damage creep constitutive model for high-stress soft rock. Environ Earth Sci 75(10):900. https://doi.org/10.1007/s12665-016-5699-x
Sterpi D, Gioda G (2009) Visco-plastic behaviour around advancing tunnels in squeezing rock. Rock Mech Rock Eng 42(2):319–339. https://doi.org/10.1007/s00603-007-0137-8
Sun J (2007) Rock rheological mechanics and its advance in engineering applications. Chin J Rock Mech Eng 26(6):1081–1106(in Chinese). https://doi.org/10.3321/j.issn:1000-6915.2007.06.001
Tomanovic Z (2006) Rheological model of soft rock creep based on the tests on marl. Mech Time-Depend Mater 10(2):135–154. https://doi.org/10.1007/s11043-006-9005-2
Tsai LS, Hsieh YM, Weng MC, Huang TH, Jeng FS (2008) Time-dependent deformation behaviors of weak sandstones. Int J Rock Mech Min Sci 45(2):144–154. https://doi.org/10.1016/j.ijrmms.2007.04.008
Wang RH, Li DW, Wang XX (2006) Improved Nishihara model and realization in ADINA FEM. Rock Soil Mechanics 27(11):1954–1958 (in Chinese). 10.16285/j.rsm.2006.11.018
Wang XH, Wan W, Wang CL (2014) Experimental study on the rheological properties of Maokou limestone under uniaxial compression. J Hunan University Technol 28(3):16–19(in Chinese). https://doi.org/10.3969/j.issn.1673-9833.2014.03.004
Wang ZJ, Liu XR, Yang X, Fu Y (2017) An improved Duncan–Chang constitutive model for sandstone subjected to drying–wetting cycles and secondary development of the model in FLAC3D. Arab J Sci Eng 42(3):1265–1282. https://doi.org/10.1007/s13369-016-2402-1
Wang ZY, Li YP (2008) Rheological theory of rock mass and its numerical simulation. Science Press, Beijing
Xu HF (1997) Time dependent behaviours of strength and elasticity modulus of weak rock. Chin J Rock Mech Eng 16(3):246–251 (in Chinese)
Xu YJ, Wang GQ, Li J, Tang BH (2004) Development and implementation of Duncan-Chang constitutive model in ABAQUS. Rock Soil Mechanics 25(7):1032–1036 (in Chinese). 10.16285/j.rsm.2004.07.005
Xue WP, Yao ZS, Dong JH, Jing W, Hao PW (2016) Analysis of surrounding rock creep hesitation effect of soft rock roadway. J China Coal Society 41(4):815–821 (in Chinese). 10.13225/j.cnki.jccs.2015.0818
Yang WD, Zhang QY, Zhang JG, He RP, Zeng JQ (2010) Second development of improved Burgers creep damage constitutive model of rock based on FLAC3D. Rock Soil Mechanics 31(6):1956–1964 (in Chinese). 10.16285/j.rsm.2010.06.047
Yang X (2011) Creep constitutive model of backfill and engineering application. Jiangxi University of Science and Technology, Dissertation
Yu SW (1997) Damage mechanics. Tsinghua University Press, Beijing
Yuan JZ (2012) Research of simulating the entire process of rock creep by damage theory. Hunan University, Dissertation
Zhang QY, Yang WD, Zhang JG, Yang CH (2009) Variable parameters-based creep damage constitutive model and its engineering application. Chin J Rock Mech Eng 28(4):732–739(in Chinese). https://doi.org/10.3321/j.issn:1000-6915.2009.04.011
Zhao TB, Jiang YD, Zhang YB, Liu SS (2014) Secondary development and engineering application of viscoelasto-plastic BK-MC anchorage model. Rock Soil Mechanics 35(3):881–886+895 (in Chinese). 10.16285/j.rsm.2014.03.027
Zhou HW, Wang CP, Han BB, Duan ZQ (2011) A creep constitutive model for salt rock based on fractional derivatives. Int J Rock Mech Min Sci 48(1):116–121. https://doi.org/10.1016/j.ijrmms.2010.11.004
Acknowledgements
This work is financially supported by the National Natural Science Foundation of China (nos. 41372244, 41172216, 41373095) and the Anhui Science and Technology Research Project of China (no. 1501zc04048). The authors would like to express sincere thanks to the reviewers for their thorough reviews and useful suggestions.
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Chen, L., Li, S., Zhang, K. et al. Secondary development and application of the NP-T creep model based on FLAC3D . Arab J Geosci 10, 508 (2017). https://doi.org/10.1007/s12517-017-3301-9
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DOI: https://doi.org/10.1007/s12517-017-3301-9