Skip to main content

Performance of the Prestressed Composite Lining of a Tunnel: Case Study of the Yellow River Crossing Tunnel


This paper presents the performance of a new prestressed composite lining applied in shield tunnels for water conveyance. The Yellow River Crossing Tunnel of the Middle Route Project of the South-to-North Water Division Project is adopted in this study as a case, and a three-dimensional finite element model is established to analyse the stress distribution and deformation feature of the prestressed composite lining when the tunnel is under the assembly condition, the tension condition and the water-filled condition. The finite element model is verified by comparing with the results of the full-scaled simulation experiment. The calculation and analysis results reveal that further open of the segmental joint gaps can be limited and full circumferential compression of the secondary lining can be realized when the tunnel is under the water-filled condition, which are conducive to long-term operation of the prestressed composite lining. The membrane has a significant effect on preventing stresses from being transmitted between the segmental lining and the secondary lining. The numerical calculations are verified by the results of the full-scaled simulation experiment, and the three-dimensional numerical model combined with the analysis method used can simulate the structural characteristics and the bearing mechanism of the prestressed composite lining.

This is a preview of subscription content, access via your institution.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15
Fig. 16
Fig. 17
Fig. 18


  1. 1.

    Kang JF, Hu YM (2005) Techniques and performance of post-prestressed tunnel liner. Pract Period Struct Des Constr 10(2):102–108

    Article  Google Scholar 

  2. 2.

    Grunicke UH, Ristić M (2012) Pre-stressed tunnel lining-pushing traditional concepts to new frontiers/Neue Grenzen für Passiv Vorgespannte Druckstollenauskleidungen. Geomech Tunn 5(5):503–516

    Article  Google Scholar 

  3. 3.

    Lee KM, Hou XY, Ge XW, Tang Y (2001) An analytical solution for a jointed shield-driven tunnel lining. Int J Numer Anal Meth Geomech 25(4):365–390

    Article  MATH  Google Scholar 

  4. 4.

    Ding WQ, Yue ZQ, Tham LG, Zhu HH, Lee CF, Hashimoto T (2004) Analysis of shield tunnel. Int J Numer Anal Meth Geomech 28(1):57–91

    Article  Google Scholar 

  5. 5.

    Do NA, Dias D, Oreste P, Djeran-Maigre I (2013) 2D numerical investigation of segmental tunnel lining behavior. Tunn Undergr Space Technol 37:115–127

    Article  Google Scholar 

  6. 6.

    Yang YZ, Zhang WW, Wang JW, Yang ZH (2014) Three-dimensional orthotropic equivalent modelling method of large-scale circular jointed lining. Tunn Undergr Space Technol 44:33–41

    Article  Google Scholar 

  7. 7.

    Blom CBM, Van der Horst EJ, Jovanovic PS (1999) Three-dimensional structural analyses of the shield-driven “Green Heart” tunnel of the high-speed line south. Tunn Undergr Space Technol 14(2):217–224

    Article  Google Scholar 

  8. 8.

    Li XK, Zhao SB, Zhao GF (2004) Theoretical analysis of prestressed concrete penstock under uni-ring-like prestress. J Dalian Univ Technol 44(2):277–283 (in Chinese)

    Google Scholar 

  9. 9.

    Li XK, Zhao SB, Zhao GF (2004) Design Methods of Prestressed Concrete Penstock. Eng Mech 21(6):124–130 (in Chinese)

    Article  Google Scholar 

  10. 10.

    ITA (2000) Guidelines for the design of shield tunnel lining. Tunn Undergr Space Technol 15(3):303–331

    Article  Google Scholar 

  11. 11.

    Murakami H, Koizumi A (1987) Behavior of shield segment ring reinforced by secondary lining. J Jpn Soc Civ Eng 388:85–94 (in Japanese)

    Google Scholar 

  12. 12.

    Takamatsu N, Murakami H, Koizumi A (1992) A Study on the Bending Behavior in the Longitudinal Direction of Shield Tunnels with Secondary Linings. In: Proceedings of the International Congress on ‘Towards New World in Tunnellings’, Acapulco, pp 227–285

  13. 13.

    Zhang HM, Guo C, Lu GL (2001) Mechanical model for shield pressure tunnel with secondary linings. J Hydraul Eng 4:28–33 (in Chinese)

    Google Scholar 

  14. 14.

    Yan QX, Yao CF, Yang WB, He C, Geng P (2015) An Improved Numerical Model of Shield Tunnel with Double Lining and Its Applications. Adv Mater Sci Eng

  15. 15.

    Duan GX, Xu H (2011) Analysis on stress observation results of full-scaled lining simulation model of tunnel crossing Yellow River. Yangtze River 42(8):87–91 (in Chinese)

    Google Scholar 

  16. 16.

    Chandrupatla TR, Belegundu AD, Ramesh T, Ray C (2002) Introduction to finite elements in engineering. Prentice Hall, Upper Saddle River

    Google Scholar 

  17. 17.

    Kim J, Yoon JC, Kang BS (2007) Finite element analysis and modeling of structure with bolted joints. Appl Math Model 31(5):895–911

    Article  MATH  Google Scholar 

  18. 18.

    Mo HH, Chen JS (2008) Study on inner force and dislocation of segments caused by shield machine attitude. Tunn Undergr Space Technol 23(3):281–291

    Article  Google Scholar 

  19. 19.

    Chen JS, Mo HH (2009) Numerical study on crack problems in segments of shield tunnel using finite element method. Tunn Undergr Space Technol 24(1):91–102

    Article  Google Scholar 

  20. 20.

    Yousaf M, Siddiqi ZA, Sharif MB, Qazi AU (2016) Force and Displacement-controlled Non-linear FE Analyses of RC Beam with Partial Steel Bonded Length. Int J Civ Eng. doi:10.1007/s40999-016-0076-4

    Google Scholar 

  21. 21.

    Mashimo H, Ishimura T (2003) Evaluation of the load on shield tunnel lining in gravel. Tunn Undergr Space Technol 18(2):233–241

    Article  Google Scholar 

  22. 22.

    GB 50010 (2010) Code for Design of Concrete Structure. China Architecture and Building Press, Beijing

  23. 23.

    Ma H, Zhang D (2016) Seismic Response of a Pre-stressed Concrete Wind Turbine Tower. Int J Civ Eng. doi:10.1007/s40999-016-0029-y

    Google Scholar 

Download references


The research work described in this paper is supported by the National Natural Science Foundation of China (No. 51079107) and the Fundamental Research Funds for the Central Universities (No. 5082022). Additionally, the provision of the original data by Changjiang Institute of Survey, Planning, Design and Research are gratefully acknowledged.

Author information



Corresponding author

Correspondence to Shengrong Cao.

Rights and permissions

Reprints and Permissions

About this article

Verify currency and authenticity via CrossMark

Cite this article

Yang, F., Cao, S. & Qin, G. Performance of the Prestressed Composite Lining of a Tunnel: Case Study of the Yellow River Crossing Tunnel. Int J Civ Eng 16, 229–241 (2018).

Download citation


  • Shield tunnel
  • Three-dimensional finite element method
  • Prestressed composite lining
  • Water conveyance
  • Yellow River Crossing Tunnel