Abstract Coupling analysis of rock mass and liners was carried out for deeply buried tunnel in TBM excavation process and sequential installation of liners. Analytical solutions of stress,displacement and radii of softening and broken zone were presented for the tunnel constructed in the strain-softening elasto-plastic rock mass with two liners installed at different times. The criterions for softening and fracture occurring in the rock mass were also given. The dilation during the softening and residual stage was taken into account in the derivation. The influence of installation times of the first and second liners on the displacement,radii of softening zone and broken zone and supporting pressure on the rock were analyzed. The variation of the pressures between two liners was discussed. If the second liner was installed when the distance to the tunnel face is about three times of tunnel radius,the displacement occurred during the second liner stage can be controlled within 6% of total displacement. The pressure between two liners was sensitive to the installation time of the second liner,however,the supporting pressure to the tunnel was affected by both the installation times of the first and second liners. The advancing rate of TBM,the geometric and material parameters of the two liners and the optimum installation time of the liners can be preliminary determined in design phase,and the time dependent displacement and stresses can also be predicted with the solution presented in the paper.
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