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Analytical solution of circular tunnel-lining interaction with elastic contact
Highlights Analytical lining-ground interaction solutions extended to elastic contact. Determination of the lining member forces for tunnels in anisotropic ground stresses. Assessment of the lining-ground frictional sliding based on analytical solutions.
Abstract Closed-form solutions for tunnel lining are useful to estimate the member forces in the first stages of lining design. A key element in these solutions is the interaction between the lining and the ground. Existing solutions have limited this interaction to two limited cases: perfect bonding, in which there is no separation between the lining and the ground, and perfect slip in which there is no friction between them. In this study, a new analytical solution is established for an elastic contact between the lining and the ground in which the interaction forces depend on the relative displacement of the two elements. This model can cover more realistic cases of the lining-ground interactions in tunnels, for instance, the existence of tail void partially filled with grouting materials. It has been shown that the new solution extends well the previous ones, which can be considered as its limit cases, and also corrects certain errors inherent in these solutions. The analytical solution and compared between them and also to numerical results obtained by the Finite Element Analysis code Disroc. The differences between the solutions are estimated in some typical cases and explained based on their different simplification assumptions. Finally, a simple linear transformation of stresses around the tunnel is shown to provide an efficient method to assess the frictional slip possibility for the results obtained from an analytical elastic solution.
Analytical solution of circular tunnel-lining interaction with elastic contact
Highlights Analytical lining-ground interaction solutions extended to elastic contact. Determination of the lining member forces for tunnels in anisotropic ground stresses. Assessment of the lining-ground frictional sliding based on analytical solutions.
Abstract Closed-form solutions for tunnel lining are useful to estimate the member forces in the first stages of lining design. A key element in these solutions is the interaction between the lining and the ground. Existing solutions have limited this interaction to two limited cases: perfect bonding, in which there is no separation between the lining and the ground, and perfect slip in which there is no friction between them. In this study, a new analytical solution is established for an elastic contact between the lining and the ground in which the interaction forces depend on the relative displacement of the two elements. This model can cover more realistic cases of the lining-ground interactions in tunnels, for instance, the existence of tail void partially filled with grouting materials. It has been shown that the new solution extends well the previous ones, which can be considered as its limit cases, and also corrects certain errors inherent in these solutions. The analytical solution and compared between them and also to numerical results obtained by the Finite Element Analysis code Disroc. The differences between the solutions are estimated in some typical cases and explained based on their different simplification assumptions. Finally, a simple linear transformation of stresses around the tunnel is shown to provide an efficient method to assess the frictional slip possibility for the results obtained from an analytical elastic solution.
Analytical solution of circular tunnel-lining interaction with elastic contact
AHN, Kyeung-hye (author) / POUYA, Amade (author)
2023-07-02
Article (Journal)
Electronic Resource
English
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