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Analytical solution for ground characteristic curve of composite rock mass reinforced by bolts in circular tunnels |
晏 勤,李树忱,谢 璨,王曼灵,丁 奎 |
(Geotechnical and Structural Engineering Research Center,Shandong University,Jinan,Shandong 250061,China) |
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Abstract In the traditional convergence-confinement method,bolts are usually considered as support structure,and the characteristic curve of supporting bolts is then derived individually. However,the support system cannot be constructed with the bolts only and must be constructed by combining the bolts with the rock mass. In this paper,the effect of bolt reinforcement on rock mass was considered. The analytical solution of the ground characteristic curve for bolted circular tunnel was derived with the homogenization method based on the theory of elasto-plasticity. The results of the analytical solution were compared with the ones from the numerical simulation. The proposed analytical solution of ground characteristic curve for bolted circular tunnel agrees well with the calculated results of FLAC3D. It was thus concluded that it is reasonable to combine the bolts with the rock mass as the composite bearing system. The accuracy of the proposed method was verified. Comparing with ground characteristic curves of unreinforced rock and bolted rock shows that bolts have the significant effect on the deformation of rock mass. The prestress and initial supporting time of bolts were considered in the proposed analytical solution. This study provides a relatively simple and rapid method for stability analysis of bolted tunnel.
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