Upper bound solution of supporting pressure for a shallow square tunnel based on the Hoek-Brown failure criterion |
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Authors: | Fu Huang Xiao-li Yang and Lian-heng Zhao |
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Institution: | School of Civil Engineering, Central South University, Changsha 410075, China |
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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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Keywords: | |
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