Behaviour of segmental tunnel linings under seismic loads studied with the hyperstatic reaction method

Abstract This paper proposes a numerical procedure, named hyperstatic reaction method, that can be used for the analysis of segmental tunnel linings under seismic loads. The effects of seismic loads are taken into account by means of in-plane shear stress. The parameters that are necessary to calculate the tunnel lining under seismic loads are presented. A specific implementation has been developed using a finite element framework. The results deduced from the hyperstatic reaction method have been compared and validated with those obtained by means of a finite difference numerical model using FLAC3D. A parametric study, which allows the effects of seismic magnitude, tunnel dimension and segmental joints on the seismic-induced bending moment and normal forces to be shown, has been performed.

[1]  Youssef M A Hashash,et al.  Ovaling deformations of circular tunnels under seismic loading, an update on seismic design and analysis of underground structures , 2005 .

[2]  Antonio Bobet,et al.  EFFECT OF PORE WATER PRESSURE ON TUNNEL SUPPORT DURING STATIC AND SEISMIC LOADING , 2003 .

[3]  Birger Schmidt,et al.  SEISMIC DESIGN AND ANALYSIS OF UNDERGROUND STRUCTURES , 2001 .

[4]  Pierpaolo Oreste,et al.  2D numerical investigation of segmental tunnel lining under seismic loading , 2015 .

[5]  Daniel Dias,et al.  2D seismic numerical analysis of segmental tunnel lining behaviour , 2014 .

[6]  Andreas J. Kappos,et al.  Practical nonlinear analysis of unreinforced concrete tunnel linings , 2014 .

[7]  Youssef M A Hashash,et al.  Contact interface in seismic analysis of circular tunnels , 2009 .

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

[9]  Irini Djeran-Maigre,et al.  The behaviour of the segmental tunnel lining studied by the hyperstatic reaction method , 2014 .

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

[11]  Pierpaolo Oreste,et al.  A new numerical approach to the hyperstatic reaction method for segmental tunnel linings , 2014 .

[12]  Daniele Zonta,et al.  On the seismic response of shallow-buried rectangular structures , 2013 .

[13]  M. Hesham El Naggar,et al.  Simplified analysis of seismic in-plane stresses in composite and jointed tunnel linings , 2008 .

[14]  Kyung-Ho Park,et al.  Analytical solution for seismic-induced ovaling of circular tunnel lining under no-slip interface conditions : A revisit , 2009 .

[15]  Joseph Penzien,et al.  Stresses in linings of bored tunnels , 1998 .

[16]  Joseph Penzien,et al.  Seismically induced racking of tunnel linings , 2000 .