How to Cite
Abstract
The addition of fibres in concrete improves the mechanical performance of tunnel segment by bridging the crack, during construction and service stage. The approach normally used in design is the P-M interaction diagram, which is obtained primarily from the compressive and tensile response of the fibre reinforced concrete. Under service, the segments are subjected to prolonged static and dynamic loading, which could diminish the material performance. The aim of this paper is to investigate the influence of time-dependent loading on the mechanical behaviour of precast concrete tunnel segments reinforced with both steel fibres and rebars. Numerical analyses demonstrate the rate-sensitivity on the flexural performance of tunnel segment, which varies with the type and dosage of fibres. A fracture-based analytical design procedure to determine the capacities of the hybrid fibre reinforced concrete segment is modified to obtain time-dependent P-M diagrams. The results, both numerical and analytical, reveal a positive impact due to the incorporation of higher dosage of steel fibres in the segmental linings by the mitigation of loading-rate effects.
References
ACI 544.7R, 2016. Report on design and construction of fiber-reinforced precast concrete tunnel segments. American Concrete Institute. Farmington Hills, MI.
Arnau, O., Molins, C., Blom, C.B.M., Walraven, J.C., 2012. Longitudinal time-dependent response of segmental tunnel linings. Tunn. Undergr. Sp. Technol. 28, 98–108. https://doi.org/10.1016/j.tust.2011.10.002
Asakura, T., Kojima, Y., 2003. Tunnel maintenance in Japan. Tunn. Undergr. Sp. Technol. 18, 161–169. https://doi.org/10.1016/S0886-7798(03)00024-5
Bakhshi, M., Nasri, V., 2014. Developments in design for fibre-reinforced concrete tunnel segments. Am. Concr. Institute, ACI Spec. Publ. 2014-July, 341–352. https://doi.org/10.35789/fib.bull.0079.ch33
Barragán, B.E., Gettu, R., Martı́n, M.A., Zerbino, R.L., 2003. Uniaxial tension test for steel fibre reinforced concrete––a parametric study. Cem. Concr. Compos. 25, 767–777. https://doi.org/http://dx.doi.org/10.1016/S0958-9465(02)00096-3
Bresler, B., 1960. Design criteria for reinforced columns under axial load and biaxial bending. J. Am. Concr. Inst. 10, 481–490.
Briffaut, M., Benboudjema, F., D’Aloia, L., 2016. Effect of fibres on early age cracking of concrete tunnel lining. Part II: Numerical simulations. Tunn. Undergr. Sp. Technol. 59, 221–229. https://doi.org/10.1016/j.tust.2016.08.001
Buratti, N., Ferracuti, B., Savoia, M., 2013. Concrete crack reduction in tunnel linings by steel fibre-reinforced concretes. Constr. Build. Mater. 44, 249–259. https://doi.org/10.1016/j.conbuildmat.2013.02.063
Caratelli, A., Meda, A., Rinaldi, Z., 2012. Design according to MC2010 of a fibre-reinforced concrete tunnel in Monte Lirio, Panama. Struct. Concr. 13, 166–173. https://doi.org/10.1002/suco.201100034
Caratelli, A., Meda, A., Rinaldi, Z., Romualdi, P., 2011. Structural behaviour of precast tunnel segments in fiber reinforced concrete. Tunn. Undergr. Sp. Technol. 26, 284–291. https://doi.org/10.1016/j.tust.2010.10.003
Chiaia, B., Fantilli, A.P., Vallini, P., 2009. Combining fiber-reinforced concrete with traditional reinforcement in tunnel linings. Eng. Struct. 31, 1600–1606. https://doi.org/10.1016/j.engstruct.2009.02.037
CNR DT 204, 2006. Guidelines for the design, construction and production control of fibre reinforced concrete structures. National Research Council of Italy.
de la Fuente, A., Pujadas, P., Blanco, A., Aguado, A., 2012. Experiences in Barcelona with the use of fibres in segmental linings. Tunn. Undergr. Sp. Technol. 27, 60–71. https://doi.org/10.1016/j.tust.2011.07.001
Di Carlo, F., Meda, A., Rinaldi, Z., 2016. Design procedure for precast fibre-reinforced concrete segments in tunnel lining construction. Struct. Concr. 17, 747–759. https://doi.org/10.1002/suco.201500194
Ding, Y., Kusterle, W., 2000. Compressive stress-strain relationship of steel fibre-reinforced concrete at early age. Cem. Concr. Res. 30, 1573–1579. https://doi.org/10.1016/S0008-8846(00)00348-3
fib Model, 2010. Code for Concrete Structures. fib CEB-FIP publication.
Gettu, R., Barragán, B., García, T., Fernández, C., Oliver, R., 2004. Steel fiber reinforced concrete for the Barcelona metro line 9 tunnel lining. 6th Int. RILEM Symp. Fibre Reinf. Concr. 141–156.
Hernández-Montes, E., Gil-Martín, L.M., Aschheim, M., 2005. Design of concrete members subjected to uniaxial bending and compression using reinforcement sizing diagrams. ACI Struct. J. 102, 150–158. https://doi.org/10.14359/13540
Inokuma, A., Inano, S., 1996. Road tunnels in Japan: Deterioration and countermeasures. Tunn. Undergr. Sp. Technol. 11, 305–309. https://doi.org/10.1016/0886-7798(96)00026-0
IRC:SP:46, 2013. Guidelines for design and construction of fibre reinforced concrete pavements. Indian road congress, New Delhi.
Liao, L., de la Fuente, A., Cavalaro, S., Aguado, A., 2016. Design procedure and experimental study on fibre reinforced concrete segmental rings for vertical shafts. Mater. Des. 92, 590–601. https://doi.org/10.1016/j.matdes.2015.12.061
Nanakorn, P., Horii, H., 1996. A fracture-mechanics-based design method for SFRC tunnel linings. Tunn. Undergr. Sp. Technol. 11, 39–43. https://doi.org/10.2208/jscej.1996.532_221
PAS 8810, 2016. Tunnel design - Design of concrete segmental tunnel linings.
Plizzari, G.A., Cominoli, L., 2005. Numerical simulations of SFRC precast tunnel segments, in: Erdem, Y., Solak, T. (Eds.), In Proceedings of ITA-AITES 2005, Underground Space Use: Analysis of the Past and Lessons for the Future. Istanbul (Turkey), pp. 1105–1112.
RILEM TC 162-TDF, 2003. Final recommendation of RILEM TC 162-TDF: Test and design methods for steel fibre reinforced concrete sigma-epsilon-design method. Mater. Struct. 36, 560–567. https://doi.org/10.1617/14007
Rotter, J.M., 1983. Rapid exact inelastic biaxial bending analysis. J. Struct. Eng. 111, 2659–2674.
Sorelli, L.G., Toutlemonde, F., 2005. On the Design of Steel Fibre Reinforced Concrete Tunnel Lining Segments. 11th Int. Conf. Fract. 3–8.
Stephen, S.J., Gettu, R., 2020. Fatigue fracture of fibre reinforced concrete in flexure. Mater. Struct. 1–16.
Stephen, S.J., Gettu, R., 2019. Rate-dependence of the tensile behaviour of fibre reinforced concrete in the quasi-static regime. Mater. Struct. 52, 107. https://doi.org/10.1617/s11527-019-1405-2
Stephen, S.J., Raphael, B., Gettu, R., Jose, S., 2019. Determination of the tensile constitutive relations of fibre reinforced concrete using inverse analysis. Constr. Build. Mater. 195, 405–414.
Whitney, B.C.S., Cohent, E., 1956. Guide for Ultimate Strength Design of Reinforced Concrete. ACI J. Proc. 53, 455–490. https://doi.org/10.14359/11524
Yao, Y., Bakhshi, M., Nasri, V., Mobasher, B., 2018. Interaction diagrams for design of hybrid fiber-reinforced tunnel segments. Mater. Struct. 51, 1–17. https://doi.org/10.1617/s11527-018-1159-2
Zhang, X.X., Abd Elazim, A.M., Ruiz, G., Yu, R.C., 2014. Fracture behaviour of steel fibre-reinforced concrete at a wide range of loading rates. Int. J. Impact Eng. 71, 89–96. https://doi.org/10.1016/j.ijimpeng.2014.04.009
Zhang, Y., Shi, Y., Zhao, Y., Yang, J., 2017. Damage in Concrete Lining of an Operational Tunnel. J. Perform. Constr. Facil. 31. https://doi.org/10.1061/(ASCE)CF.1943-5509.0001032