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Geomechanics and Engineering
  Volume 13, Number 2, August 2017 , pages 301-318

Three-dimensional limit analysis of seismic stability of tunnel faces with quasi-static method
B. Zhang, X. Wang, J.S. Zhang and F. Meng

    Based on the existing research results, a three-dimensional failure mechanism of tunnel face was constructed. The dynamic seismic effect was taken into account on the basis of quasi-static method, and the nonlinear Mohr-Coulomb failure criterion was introduced into the limit analysis by using the tangent technique. The collapse pressure along with the failure scope of tunnel face was obtained through nonlinear limit analysis. Results show that nonlinear coefficient and initial cohesion have a significant impact on the collapse pressure and failure zone. However, horizontal seismic coefficient and vertical seismic proportional coefficient merely affect the collapse pressure and the location of failure surface. And their influences on the volume and height of failure mechanism are not obvious. By virtue of reliability theory, the influences of horizontal and vertical seismic forces on supporting pressure were discussed. Meanwhile, safety factors and supporting pressures with respect to 3 different safety levels are also obtained, which may provide references to seismic design of tunnels.
Key Words
    tunnel face; three-dimensional collapse failure mechanism; quasi-static method; limit analysis with nonlinear failure criterion; failure probability
(1) B. Zhang, X. Wang, J.S. Zhang:
School of Civil Engineering, Central South University, Hunan 410075, China;
(2) F. Meng:
Centre for Innovative Structures and Materials, School of Civil Engineering, MIT University, Melbourne 3001, Australia.

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