Skip to main content
Log in

Propagation of Cracks in the Secondary Lining of Tunnels Subjected to Asymmetrical Pressure and a Safety Evaluation

  • Original Paper
  • Published:
Indian Geotechnical Journal Aims and scope Submit manuscript

Abstract

This paper aims to study the way cracks propagate in the secondary lining of tunnels subjected to asymmetrical pressure and to determine the corresponding safety evaluation standards. To achieve this, a cracked part of the secondary lining of the Gucheng-Zhuxi expressway tunnel in Hubei, China was studied under asymmetrical pressure. Using fracture mechanics, the propagation laws and characteristics of the cracks on different scales are analyzed under different asymmetrical pressures and at different positions. The study is based on stress-intensity factor theory and uses ANSYS finite-element software. The results show that crack width (b) has a small effect on crack propagation in the lining structure. On the other hand, crack depth (h) has an obvious effect. The stress-intensity factors at asymmetrically-loaded positions are found to be clearly larger than those at symmetrically-loaded positions. That is, an asymmetrical pressure distribution promotes the propagation of cracks at asymmetrically-loaded positions (and inhibits that at symmetrically-loaded positions, to some extent). When the value of h falls in the range from 3 to 12 cm, the cracks propagate in a stable manner in asymmetrically-loaded positions; at a depth of 15 cm, the propagation becomes unstable. Thus, a crack depth of h = 12 cm can be regarded as the critical value signaling the onset of instability and failure of the secondary lining when considering the safety margin required of the lining structure. Combining the existing safety evaluation standards for cracks with a new evaluation index—the crack depth h—we propose a new safety evaluation standard that is suitable for cracks in the secondary lining of the Gucheng-Zhuxi expressway tunnel under asymmetrical pressure. In addition, suggestions are made for properly treating different types of crack.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12

Similar content being viewed by others

References

  1. Albrecht P, Yamada K (1977) Rapid calculation of stress intensity factors. J Struct Div ACSE 103(ST2):377–389

    Google Scholar 

  2. Bai-jian HCGY (2009) Construction and crack prevention measures of the tunnel 2nd liner building concrete [J]. Shanxi Archit 13:191

    Google Scholar 

  3. Cai M, Kaiser PK, Tasaka Y, Maejima T, Morioka H, Minami M (2004) Generalized crack initiation and crack damage stress thresholds of brittle rock masses near underground excavations. Int J Rock Mech Min Sci 41(5):833–847

    Article  Google Scholar 

  4. Chen Z, Yu HW (2010) Prevention of through crack in secondary lining of railway mountain tunnel. J Railw Eng Soc 7:015

    Google Scholar 

  5. Chiaia B, Fantilli AP, Vallini P (2008) Crack patterns in reinforced and fiber reinforced concrete structures. Open Constr Build Technol J 2:146–155

    Article  Google Scholar 

  6. Chiaia B, Fantilli AP, Vallini P (2009) Evaluation of crack width in FRC structures and application to tunnel linings. Mater Struct 42(3):339–351

    Article  Google Scholar 

  7. Deluce JR, Lee SC, Vecchio FJ (2014) Crack model for steel fiber-reinforced concrete members containing conventional reinforcement. ACI Struct. J 111:93–102

    Google Scholar 

  8. Favier E, Lazarus V, Leblond JB (2006) Statistics of the deformation of the front of a tunnel-crack propagating in some inhomogeneous medium. J Mech Phys Solids 54(7):1449–1478

    Article  MathSciNet  MATH  Google Scholar 

  9. Ha BGLDL (2009) Crack treatment for feiyuze tunnel. Mod Tunn Technol 3:013

    Google Scholar 

  10. Hualao W, Xuezeng L, Ning LI, Dongwu X (2010) Safety evaluation of tunnel lining with longitudinal cracks and reinforcement design. Chin J Rock Mech Eng 29(S1):2651–2656

    Google Scholar 

  11. Ingraffea AR, Manu C (1980) Stress-intensity factor computation in three dimensions with quarter-point elements. Int J Numer Methods Eng 15(10):1427–1445

    Article  MathSciNet  MATH  Google Scholar 

  12. Lazarus V, Leblond JB (2002) In-plane perturbation of the tunnel-crack under shear loading I: bifurcation and stability of the straight configuration of the front. Int J Solids Struct 39(17):4421–4436

    Article  MATH  Google Scholar 

  13. Lazarus V, Leblond JB (1998) Three-dimensional crack-face weight functions for the semi-infinite interface crack—I: variation of the stress intensity factors due to some small perturbation of the crack front. J Mech Phys Solids 46(3):489–511

    Article  MathSciNet  MATH  Google Scholar 

  14. Li ZG, Zhang YJ (2010) Stability analysis for tunnels with cracked linings and the techniques for repairing the cracked linings. Mod Tunn Technol 41(1):26–31

    Google Scholar 

  15. Mattheck C, Morawietz P, Munz D (1983) Stress intensity factor at the surface and at the deepest point of a semi-elliptical surface crack in plates under stress gradients. Int J Fract 23(3):201–212

    Article  Google Scholar 

  16. Mazzoli A, Monosi S, Plescia ES (2015) Evaluation of the early-age-shrinkage of Fiber Reinforced Concrete (FRC) using image analysis methods. Constr Build Mater 101:596–601

    Article  Google Scholar 

  17. Minelli F, Plizzari G (2015) Derivation of a simplified stress–crack width law for Fiber Reinforced Concrete through a revised round panel test. Cem Concr Compos 58:95–104

    Article  Google Scholar 

  18. Ministry of Construction of the People’s Republic of China. GB50010-2010 (2010) Code for design of concrete structures [S]. China Architecture & Building Press, Peking

    Google Scholar 

  19. Ministry of Railways of the People’s Republic of China. TB/T2820.2-1997 (1997) The railway bridge building deterioration evaluation standard[S]. China Railway Publishing House, Peking

    Google Scholar 

  20. Newman C Jr (1979) A review and assessment of the stress-intensity factors for surface cracks. In: Chang JB (ed) Part-through crack fatigue life prediction, vol 687. ASTM International, Philadelphia, p 16

    Chapter  Google Scholar 

  21. Paris PC, Sih GC (1965) Stress analysis of cracks. In: Fracture toughness testing and its applications. ASTM Special Technical Publication No. 381, ASTM International, Philadelphia, p 30

  22. Shahani AR, Habibi SE (2007) Stress intensity factors in a hollow cylinder containing a circumferential semi-elliptical crack subjected to combined loading. Int J Fatigue 29(1):128–140

    Article  MATH  Google Scholar 

  23. Shah RC, Kobayashi AS (1971) Stress intensity factor for an elliptical crack under arbitrary normal loading. Eng Fract Mech 3(1):71–96

    Article  Google Scholar 

  24. Takahashi K, Arakawa K (1987) Dependence of crack acceleration on the dynamic stress-intensity factor in polymers. Exp Mech 27(2):195–199

    Article  Google Scholar 

  25. Tiberti G, Minelli F, Plizzari GA, Vecchio FJ (2014) Influence of concrete strength on crack development in SFRC members. Cement Concr Compos 45:176–185

    Article  Google Scholar 

  26. Tiberti G, Minelli F, Plizzari G (2015) Cracking behavior in reinforced concrete members with steel fibers: a comprehensive experimental study. Cem Concr Res 68:24–34

    Article  Google Scholar 

  27. Vasanelli E, Micelli F, Aiello MA, Plizzari G (2014) Crack width prediction of FRC beams in short and long term bending condition. Mater Struct 47(1–2):39–54

    Article  Google Scholar 

  28. Wu GX, Li P, Wang L (2012) Analysis of stress intensity factor at crack tip on asphalt pavement under action of traffic load[J]. J Lanzhou Univ Technol 01:120–124

    Google Scholar 

  29. Wu KC (1990) Stress intensity factor and energy release rate for interfacial cracks between dissimilar anisotropic materials. J Appl Mech 57(4):882–886

    Article  Google Scholar 

  30. Zhu BF (1998) The finite element method theory and applications[M]. China Water & Power Press, Beijing

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Jian-ping Chen.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Gao, Sm., Sun, Y., Wang, W. et al. Propagation of Cracks in the Secondary Lining of Tunnels Subjected to Asymmetrical Pressure and a Safety Evaluation. Indian Geotech J 47, 84–95 (2017). https://doi.org/10.1007/s40098-016-0216-4

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s40098-016-0216-4

Keywords

Navigation