A generalized viscoelastic model and the corresponding parameter conversion method |
Huang, Shuling
(Key Laboratory of Geotechnical Mechanics and Engineering of Ministry of Water Resources, Changjiang River Scientific Research Institute)
Ding, Xiuli (Key Laboratory of Geotechnical Mechanics and Engineering of Ministry of Water Resources, Changjiang River Scientific Research Institute) Huang, Xiaohua (College of Civil Engineering and Architecture, Guangxi University) He, Jun (Key Laboratory of Geotechnical Mechanics and Engineering of Ministry of Water Resources, Changjiang River Scientific Research Institute) Zhang, Yuting (Key Laboratory of Geotechnical Mechanics and Engineering of Ministry of Water Resources, Changjiang River Scientific Research Institute) |
1 | Amitrano, D. and Helmstetter, A. (2006), "Brittle creep, damage, and time to failure in rocks", J. Geophys. Res. Solid Earth, 111, B11201. https://doi.org/10.1029/2005jb004252. DOI |
2 | Bozzano, F., Martino, S., Montagna, A. and Prestininzi, A. (2012), "Back analysis of a rock landslide to infer rheological parameters", Eng. Geology, 131-132, 45-56. https://doi.org/10.1016/j.enggeo.2012.02.003. DOI |
3 | Brantut, N., Heap, M.J., Baud, P. and Meredith, P.G. (2014), "Rate- and strain-dependent brittle deformation of rocks", J. Geophys. Res. Solid Earth, 119, 1818-1836. https://doi.org/10.1002/2013jb010448. DOI |
4 | Callahan, G.D., Mellegard, K.D. and Hansen, F.D. (1998), "Constitutive behavior of reconsolidating crushed salt", Int. J. Rock Mech. Mining Sci., 35, 422-423. https://doi.org/10.1016/S0148-9062(98)00045-X. DOI |
5 | Chen, S.H. and Pande, G.N. (1994), "Rheological model and finite element analysis of jointed rock masses reinforced by passive, fully-grouted bolts", Int. J. Rock Mech. Mining Sci. Geomech. Abstracts, 31, 273-277. https://doi.org/10.1016/0148-9062(94)90472-3. DOI |
6 | Christensen, R.M. (1982), Theory of Viscoelasticity: An Introduction, Academic Press, New York, USA. |
7 | Cornelius, R.R. and Scott, P.A. (1993), "A materials failure relation of accelerating creep as empirical description of damage accumulation", Rock Mech. Rock Eng., 26, 233-252. https://doi.org/10.1007/BF01040117. DOI |
8 | Costin, L.S. (1988), "Time-dependent deformation and failure", Int. J. Rock Mech. Mining Sci. Geomech. Abstracts, 25, A166. https://doi.org/10.1016/0148-9062(88)91561-6. DOI |
9 | Huang, P., Zhang, J., Yan, X., Spearing, A.J.S., Li, M. and Liu, S. (2021), "Deformation response of roof in solid backfilling coal mining based on viscoelastic properties of waste gangue", Int. J. Mining Sci. Technol., 31(2), 279-289. https://doi.org/10.1016/j.ijmst.2021.01.004. DOI |
10 | Haupt, M. (1991), "A constitutive law for rock salt based on creep and relaxation tests", Rock Mech. Rock Eng., 24, 179-206. https://doi.org/10.1007/BF01045031. DOI |
11 | Ito, H. and Sasajima, S. (1987), "A ten year creep experiment on small rock specimens", Int. J. Rock Mech. Mining Sci. Geomech. Abstracts, 24, 113-121. https://doi.org/10.1016/0148-9062(87)91930-9. DOI |
12 | 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 Foundations, 55, 1364-1371. https://doi.org/10.1016/j.sandf.2015.10.003. DOI |
13 | Gavrus, A., Massoni, E. and Chenot, J.L. (1996), "An inverse analysis using a finite element model for identification of rheological parameters", J. Mater. Processing Technol., 60, 447-454. https://doi.org/10.1016/0924-0136(96)02369-2. DOI |
14 | Huang, S., Ding, X., He, J. and Xiong, S. (2020), "Analytical solution for rock mass bearing plate rheological tests based on a novel viscoelastic combination model", European J. Environ. Civil Eng.. https://doi.org/10.1080/19648189.2020.1796819. DOI |
15 | Wang, J.B., Liu, X.R., Song, Z.P. and Shao, Z.S. (2015), "An improved maxwell creep model for salt rock", Geomech. Eng., 9, 499-511. https://doi.org/10.12989/gae.2015.9.4.499. DOI |
16 | Malan, D.F. (1999), "Time-dependent behaviour of deep level tabular excavations in hard rock", Rock Mech. Rock Eng., 32, 123-155. https://doi.org/10.1007/s006030050028. DOI |
17 | Munson, D.E. (1997), "Constitutive model of creep in rock salt applied to underground room closure", Int. J. Rock Mech. Mining Sci., 34, 233-247. https://doi.org/10.1016/S0148-9062(96)00047-2. DOI |
18 | Sterpi, D. and Gioda, G. (2007), "Visco-plastic behaviour around advancing tunnels in squeezing rock", Rock Mech. Rock Eng., 42, 319-339. https://doi.org/10.1007/s00603-007-0137-8. DOI |
19 | Xu, T., Tang, C.A., Zhao, J., Li, L. and Heap, M.J. (2012), "Modelling the time-dependent rheological behaviour of heterogeneous brittle rocks", Geophys. J. International, 189, 1781-1796. https://doi.org/10.1111/j.1365-246X.2012.05460.x. DOI |
20 | Zhang, C.Y., Ping, C.A.O., Pu, C.Z., Jie, L.I.U. and Wen, P.H. (2014), "Integrated identification method of rheological model of sandstone in sanmenxia bauxite", Transactions Nonferrous Metals Soc. China, 24, 1859-1865. https://doi.org/10.1016/s1003-6326(14)63264-7. DOI |
21 | Khaledi, K., Mahmoudi, E., Datcheva, M., Konig, D. and Schanz, T. (2016), "Sensitivity analysis and parameter identification of a time dependent constitutive model for rock salt", J. Comput. Appl. Math., 293, 128-138. https://doi.org/10.1016/j.cam.2015.03.049. DOI |
22 | Maranini, E. and Brignoli, M. (1999), "Creep behaviour of a weak rock: Experimental characterization", Int. J. Rock Mech. Mining Sci., 36, 127-138. https://doi.org/10.1016/S0148-9062(98)00171-5. DOI |
23 | Okubo, S., Nishimatsu, Y. and Fukui, K. (1991), "Complete creep curves under uniaxial compression", Int. J. Rock Mech. Mining Sci. Geomech. Abstracts, 28, 77-82. https://doi.org/10.1016/0148-9062(91)93235-X. DOI |
24 | Xu, Ming, Jin, Dehai, Song, Erxiang, et al. (2018), "A rheological model to simulate the shear creep behavior of rockfills considering the influence of stress states", Acta Geotechnica, 13, 1313-1327. https://doi.org/10.1007/s11440-018-0716-8. DOI |
25 | Miura, K., Okui, Y. and Horii, H. (2003), "Micromechanics-based prediction of creep failure of hard rock for long-term safety of high-level radioactive waste disposal system", Mech. Mater., 35, 587-601. https://doi.org/10.1016/S0167-6636(02)00286-7. DOI |
26 | Park, S.W. and Schapery, R.A. (1999), "Methods of interconversion between linear viscoelastic material functions. Part I-a numerical method based on prony series", Int. J. Solid. Struct., 36, 1653-1675. https://doi.org/10.1016/S0020-7683(98)00055-9. DOI |
27 | Tsai, L.S., Hsieh, Y.M., Weng, M.C., Huang, T.H. and Jeng, F. S. (2008), "Time-dependent deformation behaviors of weak sandstones", Int. J. Rock Mech. Mining Sci., 45, 144-154. https://doi.org/10.1016/j.ijrmms.2007.04.008. DOI |
28 | Tschoegl, N.W. (1989), The Phenomenological Theory of Linear Viscoelastic Behavior, Springer, Berlin, Germany. |
29 | Xie, S.Y., Shao, J.F. and Xu, W.Y. (2011), "Influences of chemical degradation on mechanical behaviour of a limestone", Int. J. Rock Mech. Mining Sci., 48, 741-747. https://doi.org/10.1016/j.ijrmms.2011.04.015. DOI |
30 | Yang, W., Luo, G., Duan, K., Jing, W., Zhang, L., Wang, S. and Zhao, Y. (2019), "Development of a damage rheological model and its application in the analysis of mechanical properties of jointed rock masses", Energy Sci. Eng., https://doi.org/10.1002/ese3.331. DOI |
31 | Huang, P., Zhang, J., Zhang, Q., Damascene, N.J. and Guo, Y. (2020), "Nonlinear creep model of deep gangue backfilling material and time-dependent characteristics of roof deformation in backfilling mining", Geofluids, 2020(1), 1-10. https://doi.org/10.1155/2020/8816871. DOI |
32 | Eberhart, R. and Kennedy, J. (1995), "A new optimizer using particle swarm theory", Proceedings of the Sixth International Symposium on Micro Machine and Human Science, Nagoya, Japan, Oct. |
33 | Zhao, Y., Wang, Y., Wang, W., Wan, W. and Tang, J. (2017), "Modeling of non-linear rheological behavior of hard rock using triaxial rheological experiment", Int. J. Rock Mech. Mining Sci., 93, 66-75. https://doi.org/10.1016/j.ijrmms.2017.01.004. DOI |
34 | Zhang, C.Q., Zhou, H. and Feng, X.T. (2011), "An index for estimating the stability of brittle surrounding rock mass: FAI and its engineering application", Rock Mech. Rock Eng., 44, 401. https://doi.org/10.1007/s00603-011-0150-9. DOI |
35 | Zhang, J.Z., Zhou, X.P. and Yin, P. (2019), "Visco-plastic deformation analysis of rock tunnels based on fractional derivatives", Tunnel. Underground Space Technol., 85, 209-219. https://doi.org/10.1016/j.tust.2018.12.019. DOI |
![]() |