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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Published in | Journal of Central South University Vol. 22; no. 1; pp. 303 - 309 |
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Main Authors | , |
Format | Journal Article |
Language | English |
Published |
Heidelberg
Central South University
01.01.2015
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Online Access | Get full text |
ISSN | 2095-2899 2227-5223 |
DOI | 10.1007/s11771-015-2522-x |
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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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AbstractList | 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. |
Author | Yang, Xiao-li Qin, Chang-bing |
Author_xml | – sequence: 1 givenname: Xiao-li surname: Yang fullname: Yang, Xiao-li email: yangky@aliyun.com organization: School of Civil Engineering, Central South University, College of Civil Engineering, Fujian University of Technology – sequence: 2 givenname: Chang-bing surname: Qin fullname: Qin, Chang-bing organization: School of Civil Engineering, Central South University |
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Cites_doi | 10.12989/gae.2012.4.1.067 10.1007/s11771-012-1406-6 10.1680/geot.2006.56.9.585 10.1016/j.tust.2010.01.004 10.1016/S1365-1609(97)80069-X 10.1007/s11771-011-0727-1 10.1016/0266-352X(91)90028-E 10.1061/(ASCE)1090-0241(2004)130:5(498) 10.1007/s11771-013-1851-x 10.1002/nag.962 10.1007/s11771-013-1739-9 10.1016/S0886-7798(01)00028-1 10.1016/j.ijsolstr.2009.09.028 10.1016/j.tust.2011.03.003 10.1007/s11771-013-1809-z 10.1680/geot.1980.30.4.397 10.1061/(ASCE)GT.1943-5606.0000457 10.1061/(ASCE)0733-9410(1994)120:7(1148) 10.1016/j.ijrmms.2008.09.014 10.1260/1369-4332.13.2.249 10.1007/s11771-012-1238-4 |
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