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Limit analysis of supporting pressure in tunnels with regard to surface settlement

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Abstract

The proliferation of Hoek-Brown nonlinear failure criterion and upper bound theorem makes it possible to evaluate the stability of circular tunnels with an original curved collapsing mechanism. The arch effect of shallow circle tunnel is not taken into consideration so that the mechanical characteristics can be easily described. Based on the mechanism, the upper bound solution of supporting pressure of tunnels under the condition of surface settlements and overloads on the ground surface is derived. The objective function is formed from virtual work equations under the variational principle, and solutions are presented by the optimum theory. Comparisons with previous works are made. The numerical results of the present method show great agreement with those of existing ones. With regard to the surface settlement and overloads, the influence of different rock parameters on the collapsing shape is analyzed.

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Authors and Affiliations

  1. School of Civil Engineering, Central South University, Changsha, 410075, China

    Xiao-li Yang  (杨小礼) & Chang-bing Qin  (覃长兵)

  2. College of Civil Engineering, Fujian University of Technology, Fuzhou, 350118, China

    Xiao-li Yang  (杨小礼)

Authors
  1. Xiao-li Yang  (杨小礼)
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  2. Chang-bing Qin  (覃长兵)
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Corresponding author

Correspondence to Xiao-li Yang  (杨小礼).

Additional information

Foundation item: Project(2013CB036004) supported by the National Basic Research Program of China; Projects(51178468, 51378510) supported by the National Natural Science Foundation of China

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Yang, Xl., Qin, Cb. Limit analysis of supporting pressure in tunnels with regard to surface settlement. J. Cent. South Univ. 22, 303–309 (2015). https://doi.org/10.1007/s11771-015-2522-x

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  • DOI: https://doi.org/10.1007/s11771-015-2522-x

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