Geomechanics and Engineering

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Limit analysis of rectangular cavity subjected to seepage forces based on Hoek-Brown failure criterion

  • Yang, X.L. (School of Civil Engineering, Central South University) ;
  • Qin, C.B. (School of Civil Engineering, Central South University)
  • Received : 2013.02.03
  • Accepted : 2014.01.09
  • Published : 2014.05.25
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Abstract

On the basis of Hoek-Brown failure criterion, a numerical solution for the shape of collapsing block in the rectangular cavity subjected to seepage forces is obtained by upper bound theorem of limit analysis. The seepage forces obtained from the gradient of excess pore pressure distribution are taken as external loadings in the limit analysis, and the pore pressure is easily calculated with pore pressure coefficient. Thus the seepage force is incorporated into the upper bound analysis as a work rate of external force. The upper solution of the shape of collapsing block is derived by virtue of variational calculation. In order to verify the validity of the method proposed in the paper, the result when the pore pressure coefficient equals zero, and only hydrostatic pressure is taken into consideration, is compared with that of previous work. The results show good effectiveness in calculating the collapsing block shape subjected to seepage forces. The influence of parameters on the failure mechanisms is investigated.

Keywords

Acknowledgement

Supported by : National Natural Science Foundation

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