2D numerical investigation of segmental tunnel lining behavior

Abstract The application field of shield tunneling has extended in recent years. Most shield-driven tunnels are supported by segmental concrete linings. Although many well documented experimental, numerical and analytical results exist in literature concerning the functioning of segmental tunnel linings, their behavior under the influence of joints is still not clear. This paper presents a numerical study that has been performed to investigate the factors that affect segmental tunnel lining behavior. Analyses have been carried out using a two-dimensional finite difference element model. The longitudinal joint between segments in a ring has been simulated through double node connections, with six degrees of freedom, represented by six springs. The proposed model allows the effect of not only the rotational stiffness but also the radial stiffness and the axial stiffness of the longitudinal joints to be taken into consideration. The numerical results show a significant reduction in the bending moment induced in the tunnel lining as the joint number increases. The tunnel behavior in terms of the bending moment considering the effect of joint distribution, when the lateral earth pressure factor K 0 is equal to 0.5, 1.5 and 2, is almost similar and differs when K 0 is equal to unity. It has been seen that the influence of joint rotational stiffness, the reduction in joint rotation stiffness under the negative bending moment, the lateral earth pressure factor and Young’s modulus of ground surrounding the tunnel should not be neglected. On the other hand, the results have also shown an insignificant influence of the axial and radial stiffness of the joints on segmental tunnel lining behavior.

[1]  Pierpaolo Oreste,et al.  A numerical approach to the hyperstatic reaction method for the dimensioning of tunnel supports , 2007 .

[2]  Günther Meschke,et al.  On the influence of face pressure, grouting pressure and TBM design in soft ground tunnelling , 2006 .

[3]  Climent Molins,et al.  Experimental and analytical study of the structural response of segmental tunnel linings based on an in situ loading test. , 2011 .

[4]  Antonio Aguado,et al.  Packer behavior under simple and coupled stresses , 2012 .

[5]  A. M. Muir Wood,et al.  The circular tunnel in elastic ground , 1975 .

[6]  Hehua Zhu,et al.  Analysis of shield tunnel , 2004 .

[7]  Zhu Wei,et al.  Effect of joint structure on joint stiffness for shield tunnel lining , 2006 .

[8]  Scott A. Burns,et al.  Recent advances in optimal structural design , 2002 .

[9]  Climent Molins,et al.  Experimental and analytical study of the structural response of segmental tunnel linings based on an in situ loading test. Part 2: Numerical simulation , 2011 .

[10]  Supot Teachavorasinskun,et al.  Influence of segmental joints on tunnel lining , 2010 .

[11]  C.B.M. Blom,et al.  Design philosophy of concrete linings for tunnels in soft soils , 2002 .

[12]  Günther Meschke,et al.  A 3D finite element simulation model for TBM tunnelling in soft ground , 2004 .

[13]  A. M. Hefny,et al.  An investigation into the behaviour of jointed tunnel lining , 2006 .

[14]  H. Einstein,et al.  SIMPLIFIED ANALYSIS FOR TUNNEL SUPPORTS , 1979 .

[15]  Hany El Naggar,et al.  An analytical solution for jointed tunnel linings in elastic soil or rock , 2008 .

[16]  Y. Tang,et al.  An analytical solution for a jointed shield‐driven tunnel lining , 2001 .

[17]  R. S. Van Oorsouw Behaviour of segment joints in immersed tunnels under seismic loading , 2010 .

[18]  Christian Thienert,et al.  Segment design under consideration of the material used to fill the annular gap / Tübbingbemessung unter Berücksichtigung der Eigenschaften des Ringspaltmaterials , 2011 .

[19]  C.B.M. Blom,et al.  Three-dimensional structural analyses of the shield-driven “Green Heart” tunnel of the high-speed line South , 1999 .