Geomechanics and Engineering

  • 제27권5호
  • /
  • Pages.527-535
  • /
  • 2021
  • /
  • 2005-307X(pISSN)
  • /
  • 2092-6219(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Nonlinear creep model based on shear creep test of granite

  • Hu, Bin (School of Resources and Environmental Engineering, Wuhan University of Science and Technology) ;
  • Wei, Er-Jian (School of Resources and Environmental Engineering, Wuhan University of Science and Technology) ;
  • Li, Jing (School of Resources and Environmental Engineering, Wuhan University of Science and Technology) ;
  • Zhu, Xin (School of Resources and Environmental Engineering, Wuhan University of Science and Technology) ;
  • Tian, Kun-Yun (School of Resources and Safety Engineering, Henan University of Engineering) ;
  • Cui, Kai (School of Resources and Environmental Engineering, Wuhan University of Science and Technology)
  • 투고 : 2021.03.04
  • 심사 : 2021.11.10
  • 발행 : 2021.12.10
⟨ 이전 논문 다음 논문 ⟩

초록

The creep characteristics of rock is of great significance for the study of long-term stability of engineering, so it is necessary to carry out indoor creep test and creep model of rock. First of all, in different water-bearing state and different positive pressure conditions, the granite is graded loaded to conduct indoor shear creep test. Through the test, the shear creep characteristics of granite are obtained. According to the test results, the stress-strain isochronous curve is obtained, and then the long-term strength of granite under different conditions is determined. Then, the fractional-order calculus software element is introduced, and it is connected in series with the spring element and the nonlinear viscoplastic body considering the creep acceleration start time to form a nonlinear viscoplastic creep model with fewer elements and fewer parameters. Finally, based on the shear creep test data of granite, using the nonlinear curve fitting of Origin software and Levenberg-Marquardt optimization algorithm, the parameter fitting and comparative analysis of the nonlinear creep model are carried out. The results show that the test data and the model curve have a high degree of fitting, which further explains the rationality and applicability of the established nonlinear visco-elastoplastic creep model. The research in this paper can provide certain reference significance and reference value for the study of nonlinear creep model of rock in the future.

키워드

과제정보

The research described in this paper was financially supported by the National Natural Science Foundation of China under Grant U1802243 and Grant 41672317, in part by the Hubei Province Technical Innovation Special (major projects) Project under Grant 2017ACA184, in part by the Major Science and Technology Projects of WUST Cultivate Innovation Teams under Grant 2018TDX01, and in part by the Program for Innovative Research Team (in Science and Technology) in University of Henan Province under Grant 22IRTSTHN009.

참고문헌

  1. Bozzano, F., Martino, S., Montagna, A. and Prestininzi, A. (2012), "Back analysis of a rock landslide to infer theological parameters", Eng. Geol., 131, 45-56. https://doi.org/10.1016/j.enggeo.2012.02.003.
  2. Ding, J.Y., Zhou, H.W., Chen, Q., Liu, D. and Liu, J.F. (2015), "Characters of rheological damage and constitutive model of salt rock", Rock Soil Mech., 36(3), 769-776. https://doi.org/10.16285/j.rsm.2015.03.022.
  3. Ding, Y.Z., Zhang, Q.Y., Zhang, L.Y., Ren, M.Y., Yin, X.J., Wang, B. and Yu, G.Y. (2019), "Three axis creep test and analysis of granite in underground laboratory of deep geological disposal" J. Cent. South Univ., 50(4), 957-967. https://doi.org/10.11817/j.issn.1672-7207.2019.04.025.
  4. Discenza, M.E., Esposito, C., Martino, S., Petitta, M., Prestininzi, A. and Mugnozza, G.S. (2011), "The gravitational slope deformation of Mt. Rocchetta ridge (central Apennines, Italy): Geological-evolutionary model and numerical analysis", Bull. Eng. Geol. Environ., 70(4), 559-575. https://doi.org/10.1007/s10064-010-0342-7.
  5. Fahimifar, A., Karami, M. and 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.
  6. Hashiba, K., Fukui, K., Kataoka, M. and Chu, S.Y. (2018), "Effect of water on the strength and creep lifetime of andesite", Int. J. Rock Mech. Min. Sci., 108, 37-42. https://doi.org/10.1016/j.ijrmms.2018.05.006.
  7. He, M.M., Li, N., Zhu, C.H. and Chen, Y.S. (2016), "The volume deformation behavior of rock based on fractional calculus and its experimental study", Rock Soil Mech., 37(11), 3137-3144. https://doi.org/10.16285/j.rsm.2016.11.013.
  8. He, Z.L., Zhu, Z.D., Zhu, M.L. and Li, Z.J. (2016), "An unsteady creep constitutive model based on fractional order derivatives", Rock Soil Mech., 37(3), 737-744. https://doi.org/10.16285/j.rsm.2016.03.016.
  9. Hou, R.B., Zhang, K., Tao, J., Xue, X.R. and Chen, Y.L. (2019), "A nonlinear creep damage coupled model for rock considering the effect of Initial damage", Rock Mech. Rock Eng., 52(5), 1275-1285. https://doi.org/10.1007/s00603-018-1626-7.
  10. Huang, M.P., Li, J.T., Zhang, J., Wang, C.C. and Wang, S.Q. (2017), "Experimental study on creep characteristics of anisotropic slate" J. Cent. South Univ., 48(8), 2210-2216. https://doi.org/10.11817/j.issn.1672-7207.2017.08.031.
  11. Kinscher, J.L., De Santis, F., Poiata, N., Bernard, P., Palgunadi, K.H. and Contrucci, I. (2020), "Seismic repeaters linked to weak rock-mass creep in deep excavation mining", IEEE Access, 222(1), 110-131. https://doi.org/10.1093/gji/ggaa150.
  12. Li, X.Z. and Shao, Z.S. (2016), "Investigation of macroscopic brittle creep failure caused by microcrack growth under step loading and unloading in rocks", Rock Mech. Rock Eng., 49(7), 2581-2593. https://doi.org/10.1007/s00603-016-0953-9.
  13. Ma, C. (2017), "Research on the nonlinear rheological mechanism and engineering application of water-bearing soft interlayers", Ph.D. Dissertation, China University of Geosciences, Wuhan, China.
  14. Ma, Q.Y., Yu, P.Y. and Yuan, P. (2016), "Experimental study on creep properties of deep siltstone under cyclic wetting and drying" Chin. J. Rock Mech. Eng., 37(3), 593-600. https://doi.org/10.13722/j.cnki.jrme.2017.0711.
  15. Nadimi, S., Shahriar, K., Sharifzadeh, M. and Moarefvand, P. (2011), "Triaxial creep tests and back analysis of time-dependent behavior of Siah Bisheh cavern by 3-Dimensional Distinct Element Method", Tunn. Undergr. Space Technol., 26(1), 155-162. https://doi.org/10.1016/j.tust.2010.09.002.
  16. Qu, P.F., Zhu, Q.Z. and Sun, Y.F. (2019), "Elastoplastic modelling of mechanical behavior of rocks with fractional-order plastic flow", Int. J. Mech. Sci., 163. https://doi.org/10.1016/j.ijmecsci.2019.105102.
  17. Rassouli, F.S. and Zoback, M.D. (2018), "Comparison of short-term and long-term creep experiments in shales and carbonates from unconventional gas reservoirs", Rock Mech. Rock Eng., 51(7), 1995-2014. https://doi.org/10.1007/s00603-018-1444-y.
  18. Roberts, L.A., Buchholz, S.A., Mellegard, K.D. and Dusterloh, U. (2015), "Cyclic Loading Effects on the Creep and Dilation of Salt Rock", Rock Mech. Rock Eng., 48(6), 2581-2590. https://doi.org/10.1007/s00603-015-0845-4.
  19. Singh, A., Kumar, C., Kannan, L.G., Rao, K.S. and Ayothiraman, R. (2018), "Estimation of creep parameters of rock salt from uniaxial compression tests", Int. J. Rock Mech. Min., 107, 243-248. https://doi.org/10.1016/j.ijrmms.2018.04.037.
  20. Song, Y. and Li, Y.Q. (2020), "Study on the mechanical properties and rheological model of an anchored rock mass under creep-fatigue loading", Geomech. Eng., 23(6), 535-546. https://doi.org/10.12989/gae.2020.23.6.535.
  21. Song, Y.J., Lei, S.Y. and Han, T.L. (2012), "A new nonlinear Viscoelasto-plastic rheological model for rocks", Rock Soil Mech., 33(7), 2076-2080. https://doi.org/10.3969/j.issn.1000-7598.2012.07.024.
  22. Sumelka, W., Luczak, B., Gajewski, T. and Voyiadjis, G.Z. (2020), "Modelling of AAA in the framework of time-fractional damage hyperelasticity", Int. J. Solids Struct., 206, 30-42. https://doi.org/10.1016/j.ijsolstr.2020.08.015.
  23. Sun, H.Z. and Zhang, W. (2007), "Analysis of soft soil with viscoelastic fractional derivative Kelvin model", Rock Soil Mech., 28(9), 1983-1986. https://doi.org/10.3969/j.issn.1000-7598.2007.09.041.
  24. Sun, Y.F., Wichtmann, T., Sumelka, W. and Mojtaba, E.K. (2020), "Karlsruhe fine sand under monotonic and cyclic loads: Modelling and validation", Soil Dyn. Earthq. Eng., 133, 1-15. https://doi.org/10.1016/j.soildyn.2020.106119.
  25. Wang, J.B., Liu, X.R., Huang, Y.X. and Zhang, X.C. (2015), "Prediction model of surface subsidence for salt rock storage based on logistic function", Geomech. Eng., 9(1), 25-37. https://doi.org/10.12989/gae.2015.9.1.025.
  26. Wang, J.M., Feng, Z.C., Zhao, Y.S. and Xi, B.P. (2015), "A study on creep analytical solution and creep parameters of granite drilling in steady state under high temperature and high pressure", Mater. Res. Innov., 19, 380-384. https://doi.org/10.1179/1432891714Z.0000000001114.
  27. Wang, L.J., Zhou, H.W., Rong, T.L. and Ren, W.G. (2018), "Research on experimental and nonlinear creep constitutive model of coal at depth", Chin. J. Coal Soc., 43(8), 2196-2202. https://doi.org/10.13225/j.cnki.jccs.2017.1369.
  28. Wang, M.F., Hu, B., Jiang, H.F., Ou, G.J. and Gan, L. (2014a), "Experiment and model investigation on shear rheological mechanical properties of granite", J. Cent. South Univ., 45(9), 3111-3120.
  29. Wang, X.G., Hu, B., Li, B., Liu, Z.Q. and Liu, D.T. (2011), "Tibet Bangfu steps slope of open-pit damage types analysis", Geotech. Invest. Survey., 39(11), 1-4.
  30. Wang, X.G., Hu, B., Lian, B.Q., Yan, J.L., Xu, Z.J. and Zhao, Z.H. (2014b), "Modified nonlinear viscoelastic-plastic rheological model and parameter identification of shear rheological model for granite", Chin. J. Geotech. Eng., 36(5), 916-921. https://doi.org/10.11779/CJGE201405016.
  31. Xu, G.W., He, C., Hu, X.Y. and Wang, S.M. (2015), "A modified Nishihara model based on fractional calculus theory and its parameter intelligent identification", Rock Soil Mech., 36(2), 132-138. https://doi.org/10.16285/j.rsm.2015.S2.017.
  32. Xu, W.Y., Yang, S.Q. and Chu, W.J. (2006), "Nonlinear viscoelasto-plastic rheological model (Hohai Model) of rock and its engineering application", Chin. J. Rock Mech. Eng., 25(3), 433-447. https://doi.org/10.3321/j.issn:1000-6915.2006.03.001
  33. Yang, X.R., Jiang, A.N., Wang, S.Y. and Zhang, F.R. (2019), "Experimental study on creep characteristics of gneiss under freeze-thaw cycles" Rock Soil Mech., 40(11), 4331-4340. https://doi.org/10.16285/j.rsm.2018.1668.
  34. Yin, D.S., Ren, J.J., He, C.L. and Chen W. (2007), "A new rheological model element for geomaterials", Chin. J. Rock Mech. Eng., 26(9), 1899-1903. https://doi.org/10.3321/j.issn:1000-6915.2007.09.024.
  35. Zhang, Q.Y., Yang, W.D., Chen, F., Li, W.G. and Wang, J.H. (2011), "Long-term strength and microscopic failure mechanism of hard brittle rocks", Chin. J. Geotech. Eng., 33(12), 1910-1918.
  36. Zhang, Y., Zhang, X.D., Shao, J.F., Jia, Y. and Wang, Y.L. (2018), "Elastoplastic modelling the creep behaviour of cataclastic rock under multi-stage deviatoric stress", Eur. J. Environ. Civ. En., 22(6), 650-665. https://doi.org/10.1080/19648189.2016.1217790.
  37. Zhang, Z.L., Xu, W.Y. and Wang, W. (2011), "Study of triaxial creep tests and its nonlinear visco-elastoplastic creep model of rock from compressive zone of dam foundation in Xiangjiaba hydropower station", Chin. J. Rock Mech. Eng., 30(1), 132-140.
  38. Zhao, T.B., Zhang, Y.B., Zhang, Q.Q. and Tan, Y.L. (2018), "Analysis on the creep response of bolted rock using bolted burgers model", Geomech. Eng., 14(2), 141-149. https://doi.org/10.12989/gae.2018.14.2.141.
  39. Zhou, Y. and Zhang, Y. (2020), "Noether symmetries for fractional generalized Birkhoffian systems in terms of classical and combined Caputo derivatives", Acta Mech., 231(7), 3017-3029. https://doi.org/10.1007/s00707-020-02690-y.