Abstract
The performance of segmental linings in China’s Yellow River Crossing Tunnel is studied as a case study, and a complete three-dimensional numerical model is developed for the segmental joint to perform a bending test and reproduce the joint rotational performance. Besides, an improved three-dimensional solid-spring model together with a straightforward two-dimensional beam-spring model are presented for the segmental lining to take the influences of the joint into account. The bending test shows that the rotation stiffness of joints presents complex and nonlinear characteristics. The segmental lining simulation reveals that the segmental joint has little impact on the axial forces of the lining. However, the bending rigidity of the segmental lining corresponding to the joint location is weakened, which leads to discontinuous stress distribution, decreased bending moments and increased deformations. According to the comparison, the proposed three-dimensional solid-spring model excluding contact has the advantage of mesh generation, and it is capable of reproducing the three-dimensional segmental lining effects. The proposed two-dimensional beam-spring model combined with the calculation methods of all the spring stiffnesses is an effective and further simplified method for the segmental lining modeling, which incorporates the influences of the joint and staggered format.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Arnau O, Molins C (2012) Three dimensional structural response of segmental tunnel linings. Engineering Structures 44(6):210–221, DOI: https://doi.org/10.1016/j.engstruct.2012.06.001
Avanaki MJ, Hoseini A, Vandani S, Albert D (2018) Numerical-aided design of fiber reinforced concrete tunnel segment joints subjected to seismic loads. Construction and Building Materials 170:40–54, DOI: https://doi.org/10.1016/j.conbuildmat.2018.02.219
Blom CBM, Horst EJV, Jovanovic PS (1999) Three-dimensional structural analyses of the shield-driven green heart tunnel of the high-speed line south. Tunnelling and Underground Space Technology 14:217–224, DOI: https://doi.org/10.1016/S0886-7798(99)00035-8
Cavalaro SHP, Aguado A (2012) Packer behavior under simple and coupled stresses. Tunnelling and Underground Space Technology 28:159–173, DOI: https://doi.org/10.1016/j.tust.2011.10.008
Chaipanna P, Jongpradist P (2019) 3D response analysis of a shield tunnel segmental lining during construction and a parametric study using the ground-spring model. Tunnelling and Underground Space Technology 90:369–382, DOI: https://doi.org/10.1016/j.tust.2019.05.015
Ding WQ, Yue ZQ, Tham LG, Zhu HH, Lee CF, Hashimoto T (2004) Analysis of shield tunnel. International Journal for Numerical and Analytical Methods in Geomechanics 28:57–91, DOI: https://doi.org/10.1002/nag.327
Do NA, Dias D, Oreste P, Djeran-Maigre I (2013) 2D numerical investigation of segmental tunnel lining behavior. Tunnelling and Underground Space Technology 37:115–127, DOI: https://doi.org/10.1016/j.tust.2013.03.008
Do NA, Dias D, Oreste P, Djeran-Maigre I (2014) Three-dimensional numerical simulation for mechanized tunnelling in soft ground: The influence of the joint pattern. Acta Geotechnica 9(4):673–694, DOI: https://doi.org/10.1007/s11440-013-0279-7
Duddeck H, Erdmann J (1985) On structural design models for tunnels in soft soil. Underground Space 9(5–6):246–253, DOI: https://doi.org/10.1016/0148-9062(83)91736-9
Feng K, He C, Qiu Y, Zhang L, Wang W, Xie H, Zhang Y, Cao S (2018) Full-scale tests on bending behavior of segmental joints for large underwater shield tunnels. Tunnelling and Underground Space Technolog 75:100–116, DOI: https://doi.org/10.1016/j.tust.2018.02.008
GB 50010 (2010) Code for design of concrete structures. GB 50010, China Architecture & Building Press, Beijing, China (in Chinese)
GB 50446 (2017) Code for construction and acceptance of shield tunnelling method. GB 50446, China Architecture & Building Press, Beijing, China (in Chinese)
Gong C, Ding W, Mosalam KM, Gunay S, Soga K (2017) Comparison of the structural behavior of reinforced concrete and steel fiber reinforced concrete tunnel segmental joints. Tunnelling and Underground Space Technology 68:38–57, DOI: https://doi.org/10.1016/j.tust.2017.05.010
ITA (2000) Guidelines for the design of shield tunnel lining. Tunnelling and Underground Space Technology 15(3):303–331, DOI: https://doi.org/10.1016/S0886-7798(00)00058-4
JSCE (2001) Tunnel standard specification and explanation (on shield tunnel). Beijing, China, China Architecture & Building Press
Li XJ, Yan ZG, Wang Z, Zhu HH (2015a) A progressive model to simulate the full mechanical behavior of concrete segmental lining longitudinal joints. Engineering Structures 93:97–113, DOI: https://doi.org/10.1016/j.engstruct.2015.03.011
Li XJ, Yan ZG, Wang Z, Zhu HH (2015b) Experimental and analytical study on longitudinal joint opening of concrete segmental lining. Tunnelling and Underground Space Technology 46:52–63, DOI: https://doi.org/10.1016/j.tust.2014.11.002
Liu HQ, Liu HB (2019) Numerical investigation on the mechanical behaviour of shield tunnel segment and their longitudinal joint. Chinese Journal of Underground Space and Engineering 15(6): 1800–1810
Liu C, Wang S, Guo W, Chen F, Zhang J, He C (2021) Investigation of the deformation characteristics and bearing capacity of a segment structure of a shield tunnel with cracks. KSCE Journal of Civil Engineering 26(1):381–393, DOI: https://doi.org/10.1007/s12205-021-1118-2
Mezger F, Ramoni M, Anagnostou G (2018) Options for deformable segmental lining systems for tunnelling in squeezing rock. Tunnelling and Underground Space Technology 76:64–75, DOI: https://doi.org/10.1016/j.tust.2017.12.017
Miao Y, Yao E, Ruan B, Zhuang H (2018) Seismic response of shield tunnel subjected to spatially varying earthquake ground motions. Tunnelling and Underground Space Technology 77:216–226, DOI: https://doi.org/10.1016/j.tust.2018.04.006
Mo HH, Chen JS (2007) Study on inner force and dislocation of segments caused by shield machine attitude. Tunnelling and Underground Space Technology 23:281–291, DOI: https://doi.org/10.1016/j.tust.2007.06.007
MuirWood AM (1975) The circular tunnel in elastic ground. Géotechnique 25(1):115–127, DOI: https://doi.org/10.1680/geot.1975.25.1.115
Naggar HE, Hinchberger SD (2008) An analytical solution for jointed tunnel linings in elastic soil or rock. Canadian Geotechnical Journal 45:1572–1593, DOI: https://doi.org/10.1139/T08-075
Nematollahi M, Molladavoodi H, Dias D (2020) Three-dimensional numerical simulation of the Shiraz subway second line-influence of the segmental joints geometry and of the lagging distance between twin tunnels’ faces. European Journal of Environmental and Civil Engineering 24(10):1606–1622, DOI: https://doi.org/10.1080/19648189.2018.1476270
Oggeri C, Oreste P, Spagnoli G (2021) The influence of the two-component grout on the behaviour of a segmental lining in tunnelling. Tunnelling and Underground Space Technology 109:103750, DOI: https://doi.org/10.1016/j.tust.2020.103750
T/CECS 610 (2019) Standard for structural design of shield hydraulic tunnel. T/CECS 610, China Architecture & Building Press, Beijing, China (in Chinese)
Tvede-Jensen B, Faurschou M, Kasper T (2017) A modelling approach for joint rotations of segmental concrete tunnel linings. Tunnelling and Underground Space Technology 67:61–67, DOI: https://doi.org/10.1016/j.tust.2017.04.019
Yan QX, Yao CF, Yang WB, He C, Ping G (2015) An improved numerical model of shield tunnel with double lining and its applications. Advances in Materials Science and Engineering 2015:1–15, DOI: https://doi.org/10.1155/2015/430879
Yang F, Cao SR, Li QB (2019) An analytical model for the rotational behavior of concrete segmental joints with gaskets. Advances in Structural Engineering 22(13):2866–2881, DOI: https://doi.org/10.1016/j.engstruct.2015.03.011
Yang F, Cao SR, Qin G (2018) Mechanical behavior of two kinds of prestressed composite linings: A case study of the yellow river crossing tunnel in China. Tunnelling and Underground Space Technology 79:96–109, DOI: https://doi.org/10.1016/j.tust.2018.04.036
Yuan Q, Liang F, Fang Y (2021) Numerical simulation and simplified analytical model for the longitudinal joint bending stiffness of a tunnel considering axial force. Structural Concrete 2021:1–17, DOI: https://doi.org/10.1002/suco.202000796
Zhao WS, Chen WZ, Yang F (2015) Study of the interface mechanical properties of concrete segments in shield tunnels. Modern Tunnelling Technology 52(3):119–126, DOI: https://doi.org/10.13807/j.cnki.mtt.2015.03.017 (in Chinese)
Zhong XC, Zhu W, Huang ZR, Han Y (2006) Effect of joint structure on joint stiffness for shield tunnel lining. Tunnelling and Underground Space Technology 21(3–4):406–407, DOI: https://doi.org/10.1016/j.tust.2005.12.215
Zhu HH, Huang BQ, Li XJ, Hashimoto T (2014) Unified model for internal force and deformation of shield segment joints and experimental analysis. Chinese Journal of Geotechnical Engineering 36(12): 2153–2160, DOI: https://doi.org/10.11779/CJGE201412001 (in Chinese)
Acknowledgments
This work is supported by the Fundamental Research Funds for the Central Universities (No. JZ2020HGQA0141), the National Natural Science Foundation of China (No. 52009024), Anhui Natural Science Youth Fund (Grant no. 1908085QE216), and the innovation and entrepreneurship funds for returnees of Hefei.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Yang, F., Liu, G., Wang, Yq. et al. Numerical Investigation of the Segmental Lining Performance for a Shield Tunnel. KSCE J Civ Eng 26, 2443–2455 (2022). https://doi.org/10.1007/s12205-022-1068-3
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12205-022-1068-3