ZHANG Xiang, LI Lin-an, WANG Shi-bin, LIU Xi-jun, GENG Wen-bin. Limit Analysis of Surrounding Rock Pressure for Shallow Tunnels Considering Floor Heave[J]. Applied Mathematics and Mechanics, 2017, 38(8): 911-921. doi: 10.21656/1000-0887.370346
Citation: ZHANG Xiang, LI Lin-an, WANG Shi-bin, LIU Xi-jun, GENG Wen-bin. Limit Analysis of Surrounding Rock Pressure for Shallow Tunnels Considering Floor Heave[J]. Applied Mathematics and Mechanics, 2017, 38(8): 911-921. doi: 10.21656/1000-0887.370346

Limit Analysis of Surrounding Rock Pressure for Shallow Tunnels Considering Floor Heave

doi: 10.21656/1000-0887.370346
  • Received Date: 2016-11-14
  • Rev Recd Date: 2016-12-29
  • Publish Date: 2017-08-15
  • For the floor heave phenomena after excavation of shallow tunnels, the limit analysis upper bound method was applied to build a surrounding rock pressure calculation model of rigid bodies in view of tunnel floor heave effects. Then, according to the linear MohrCoulomb criterion and the associated flow rule, the theoretical expression of the surrounding rock limit pressure was deduced. Through constraints, the calculation of surrounding rock pressure was transformed into an optimization problem in mathematics so that a computer program was compiled to conduct the optimal computation. The calculated results were compared with the measured data and the reference results, to verify the reliability of the proposed method. The results show that, in the application of the limit analysis upper bound method to deal with the surrounding rock pressure problems of shallow tunnels, the tunnel floor heave effects shall be fully considered; the supporting of the tunnel floor has significant influence on the surrounding rock pressure. The research provides a theoretical reference for the excavation and supporting of shallow tunnels.
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