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

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 characteri...

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Bibliographic Details
Published inJournal of Central South University Vol. 22; no. 1; pp. 303 - 309
Main Authors Yang, Xiao-li, Qin, Chang-bing
Format Journal Article
LanguageEnglish
Published Heidelberg Central South University 01.01.2015
Subjects
Engineering
Metallic Materials
circular tunnel
surface settlement
Hoek-Brown criterion
collapse mechanism
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ISSN2095-2899
2227-5223
DOI10.1007/s11771-015-2522-x

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Summary: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.
ISSN:2095-2899
2227-5223
DOI:10.1007/s11771-015-2522-x