Numerical Analysis of TBM Tunnel Lining Behavior using Shotcrete Constitutive Model
Shotcrete is a fundamental support element for tunnels and underground constructions. Shortly after application, shotcrete linings undergo a high load while the ordinary concrete is not fully hardened yet. Therefore, the time-dependent behaviour of the shotcrete material must consider. Traditional approaches assume a linear elastic behaviour using a hypothetical young modulus to model this time-dependency and creep effects. In this paper, a new constitutive model of shotcrete is applied to evaluate the time-dependent behaviour of TBM tunnel lining under high in-situ stress state. The Shotcrete model is based on the framework of Elasto-plasticity and designed to account for non-linear and time-dependent behaviour for concrete material more realistically. A parametric study of the time-dependent behaviour of the shotcrete lining, using the shotcrete model, is performed. To achieve this, the influence of the lining thickness, tunnel diameter and tunnel depth on the development of the stresses and displacement of the shotcrete lining with time is investigated. The results showed that the development of the lining tensile stress with time at tunnel crown increases by increasing the lining thickness and tunnel depth, whereas it decreases by increasing of the tunnel diameter. At the tunnel sidewall, the lining compression stress with time increases with the increase of the tunnel depth and diameter, while higher lining thickness decreases the lining compressive stresses. However, the results showed the ability of the shotcrete model to simulate the structural behaviour of the shotcrete lining with time.
Yu, J., Kim, J., Kim, M., and Kim, M. K. “Numerical Study on Structural Behavior of Arched Shotcrete Liner Reinforced with Steel Supports.” International Journal of Latest Engineering Research and Applications (October 2016): 48-54.
Kim, J., Kim, M. and Yoo, H. “Nonlinear Finite Element Analysis of Shotcrete Lining Reinforced with Steel Fibre and Steel Sets.” IACSIT International Journal of Engineering and Technology (December 2013) doi: 10.7763/IJET.2013.V5.638.
Saurer, E., Marcher, T., Schaedlich, B., and Schweiger, H. F. “Validation of a novel constitutive model for shotcrete using data from an executed tunnel.” Geomechanics and Tunnelling (August 2014): 353–361. doi: 10.1002/geot.201400023.
Schütz, R., Potts D, and Zdravkovic, L. “Advanced Constitutive Modelling of Shotcrete: Model Formulation and Calibration.” Computers and Geotechnics (September 2011): 834–845. doi: 10.1016/j.compgeo.2011.05.006.
Schütz, R “Numerical Modelling of Shotcrete for Tunnelling.” Ph.D thesis, Imperial College London, London. (February 2010)
Thomas, A., “Numerical modelling of sprayed concrete lined (SCL) tunnels.” PhD thesis, University of Southampton, UK. (2003)
Thomas, “Sprayed concrete lined tunnels.” (October 8, 2008).
Schädlich B., and Schweiger H.F. “A new constitutive model for shotcrete.” Proceedings of the 8th European Conference on Numerical Methods in Geotechnical Engineering. doi: 10.1201/b17017-20.
Brinkgreve, R B J., Engin, E., and Swolfs W M “Finite element code for soil and rock analyses.” Plaxis 2D Manual (2012) http://www.academia.edu/8233451/PLAXIS_-Finite_Element_Code_for_Soil_and_Rock_Analyses.
Schweiger H, Marcher, T., and Schädlich B. “Application of a new shotcrete constitutive model to numerical analysis of tunnel excavation.” Proceedings of the Geo-Shanghai 2014 International Conference.
Schaedlich, B., Schweiger, H. F., Marcher, T., and Saurer, E. “Application of a novel constitutive shotcrete model to tunnelling.” Rock Engineering and Rock Mechanics: Structures in and on Rock Masses. doi: 10.1201/b16955-137.
Paternesi, A., Schweiger, H. and Schubert, R. “Verification of a rheological constitutive model for shotcrete through back-analysis.” Geomechanics and Tunnelling, (August 2016) doi: 10.1002/geot.201500053.
Maatkamp, T. “The capabilities of the Plaxis Shotcrete material model for designing laterally loaded reinforced concrete structures in the subsurface.” MSc thesis, Delft University of Technology (October 2016).
Shaalan, H., Ismail, M.A.M., and Azit, R. “Time-dependent behavior of steel fiber reinforced shotcrete lining under rock overstressing using shotcrete model.” Electronic journal of geotechnical engineering EJGE, 2016.
Neuner, M., Gamnitzer, P and Hofstetter, G. “An Extended Damage Plasticity Model for Shotcrete: Formulation and Comparison with Other Shotcrete Models.” Materials, (January 2017) doi:10.3390/ma10010082.
Neuner, M., Schreter, M., Unteregger D. and Hofstetter, G. “Influence of the Constitutive Model for Shotcrete on the Predicted Structural Behavior of the Shotcrete Shell of a Deep Tunnel.” Materials, (May 2017) doi:10.3390/ma10060577.
“CEB-FIP MODEL CODE 1990” (January 1993). doi:10.1680/ceb-fipmc1990.35430.
EN 14487 2006. Sprayed concrete. European Committee for Standardization.
Oluokun, F.A., Burdette, E. G., and Deatherage J H. “Splitting tensile strength and compressive strength relationship at early ages.” Aci material journal (March 1991): 115-121.
EN 1992-1-1 2004. Eurocode 2: Design of concrete structures. European Committee for Standardization.
ACI 209R-92 1992. Prediction of creep, shrinkage and temperature effects in concrete structures. American Concrete Institute, Committee 209.
Schädlich B, & Schweiger H. Internal report shotcrete model: Implementation validation and application of the shotcrete model. Delft: Plaxis. (2014).
Kawata, T., Nakano, Y., Matsumoto, T., Mito, A., Pittard, F., and Azman, A. A. S. “The Relationship between TBM Data and Rockburst in Long-Distance Tunnel, Pahang-Selangor Raw Water Transfer Tunnel, Malaysia.” 8th Asian Rock Mechanics Symposium, Sapporo, Japan.
Azit, R., Ismail, M. A. M., Syed Zainal, S. F., Mahmood, N. “Rock overstressing in deep tunnel excavation of Pahang-Selangor raw water transfer project.” Applied Mechanics and Materials (October 2015): 16-21. doi: 10.4028/www.scientific.net/AMM.802.16.
Lee, S., Ismail, M., and Ng, S. M. “The Evaluation of Tunnel Behaviours under High Rock Stress Using Numerical Analysis Method”. EJGE: (January 2012) 3605-3626.
Plaxis 2D (2017). Reference Manual. https://www.plaxis.com/support/manuals/plaxis-2d-manuals/.
Barros, J. A. O, and Figueiras, J. A. “Flexural behaviour of SFRC: testing and modelling.” J. Mat. Civ. Eng. ASCE (November 1999): 331-339. doi: 10.1061/(ASCE)0899-1561(1999)11:4(331).
Shaalan, H., Ismail, M.A.M., and Azit, R. “Evaluation of TBM tunnels with respect to stability against spalling”. AIP Conference Proceedings 1892, 030010.
- There are currently no refbacks.
Copyright (c) 2018 heyam shaalan, Mohd Ashraf Ismail, Romziah Azit
This work is licensed under a Creative Commons Attribution 4.0 International License.