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CLC number: TU921

On-line Access: 2012-04-06

Received: 2011-09-19

Revision Accepted: 2012-01-11

Crosschecked: 2012-03-13

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Journal of Zhejiang University SCIENCE A 2012 Vol.13 No.4 P.284-292

http://doi.org/10.1631/jzus.A1100246


Upper bound solution of supporting pressure for a shallow square tunnel based on the Hoek-Brown failure criterion


Author(s):  Fu Huang, Xiao-li Yang, Lian-heng Zhao

Affiliation(s):  School of Civil Engineering, Central South University, Changsha 410075, China

Corresponding email(s):   hfzndx2002@yahoo.com.cn

Key Words:  Shallow square tunnel, Variational calculation, Curved failure mechanism, Supporting pressure, Shape of collapsing block, Upper bound theorem


Fu Huang, Xiao-li Yang, Lian-heng Zhao. Upper bound solution of supporting pressure for a shallow square tunnel based on the Hoek-Brown failure criterion[J]. Journal of Zhejiang University Science A, 2012, 13(4): 284-292.

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%A Lian-heng Zhao
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%DOI 10.1631/jzus.A1100246

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T1 - Upper bound solution of supporting pressure for a shallow square tunnel based on the Hoek-Brown failure criterion
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A1 - Xiao-li Yang
A1 - Lian-heng Zhao
J0 - Journal of Zhejiang University Science A
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PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.A1100246


Abstract: 
To analyze the stability of a shallow square tunnel, a new curved failure mechanism, representing the mechanical characteristics and collapsing form of this type of tunnel, is constructed. Based on the upper bound theorem of limit analysis and the Hoek-Brown nonlinear failure criterion, the supporting pressure derived from the virtual work rate equation is regarded as an objective function to achieve optimal calculation. By employing variational calculation to optimize the objective function, an upper bound solution for the supporting pressure and the collapsing block shape of a shallow square tunnel are obtained. To evaluate the validity of the failure mechanism proposed in this paper, the solutions computed by the curved failure mechanism are compared with the results calculated by the linear multiple blocks failure mechanism when the Hoek-Brown nonlinear failure criterion is converted into the Mohr-Coulomb linear criterion. The influences of rock mass parameters on the supporting pressure and collapsing block shape are discussed.

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Reference

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