International Journal of Earth Sciences and Engineering

Yun-Fei Ma ¹, Hao Qin ², Chun-Mei Zheng ³, Ming-Bin Wang ³, Ke-Zhi Song ³, Yan Liu ³, Wan-Tao Ding ⁴, Xiao-Jin Li ⁵, Tong-Shun Wang ³, Ting-Peng Zhang ³

Affiliations
1 College of Information and Electrical Engineering, China Agricultural University, Beijing-100083, CN
2 Beijing Canbao Architecture Design Institute, Beijing-100000, CN
3 School of Civil Engineering, Ludong University, Yan'tai-264025, CN
4 Research Center of Geotechnical and Structural Engineering, Shandong University, Ji’nan-250061, CN
5 School of Civil Engineering, Shandong Jianzhu University, Ji'nan-250101, CN

Abstract

The elastic-plastic problem for a circular pressured tunnel with liner is furthermore investigated. A new mechanical model to model the construction sequence of the tunnel structure is applied. Based on the linear Mohr-Coulomb yield criterion, for the case that the yield range is in the surrounding rock is dealt with. With consideration of boundary conditions along the internal and external boundaries of the liner and the interface between the elastic and yield regions, the stress solutions for the total field, and the relations to determinate the support pressure and the yield radius are given. Also, the confinement of the liner to the surrounding rock and the effect of the internal pressure on the surrounding rock pressure and the yield range are considered in the above-mentioned analyses. Numerical results indicate that the internal pressure has the same action as the support. And that with the increase of the relative liner rigidity the support pressure is increased. However, the radial displacement along the tunnel wall and the yield radius may decrease with increasing the relative liner rigidity. Moreover, when the surrounding rock is in elastic-plastic state, the variation ranges of the internal pressure, the support pressure, the radial along the tunnel wall and the yield radius decrease with increasing the relative liner rigidity. The presented solutions contain previously known result as the special cases, for example, classical Fenner's solution.

Keywords

Tunne, Elastoplasticity, Liner, Mohr-Coulomb Yield Criterion.

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Xiang-Hua Chu ¹, Ming-Bin Wang ², Ke-Zhi Song ², Chun-Mei Zhen ²

Affiliations
1 Capital Construction Department, Ludong University, Yan’tai-264025, CN
2 School of Civil Engineering, Ludong University, Yan’tai-264025, CN

Abstract

The support of underground structures must be appropriately designed. New analytical solutions for a deep tunnel with liner in isotropic geomaterial have been obtained for a hydrostatic-pressure condition by using the complex potential theory proposed by Muskhelishvili. The construction sequence of the tunnel is properly modeled in the analytical solution. The sensitive analyses indicate that the flexible support is favorable to decrease the support pressure and the installation of the liner must be well-timed towards the different situations. And that the liner rigidity is increased and the liner is installed as early as possible, which both are advantageous to reduce the surrounding geomaterial deformation. The analyses also show that the structure has a strong dependency on the liner thickness. The present solutions contain previously known results as the special cases.

Keywords

Tunnel, Complex Potential Theory, Liner, Elasticity.

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