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Mathematical Problems in Engineering
Volume 2016, Article ID 1378274, 9 pages
Research Article

Face Stability Analysis of Shield Tunnels in Homogeneous Soil Overlaid by Multilayered Cohesive-Frictional Soils

1Key Laboratory for Urban Underground Engineering of the Education Ministry, Beijing Jiaotong University, Beijing 100044, China
2School of Civil Engineering, Beijing Jiaotong University, Beijing 100044, China
3Beijing No. 4 Municipal Construction Engineering Co., Ltd., Beijing 100176, China

Received 30 December 2015; Revised 12 April 2016; Accepted 28 April 2016

Academic Editor: Mohammed Nouari

Copyright © 2016 Kaihang Han et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


In order to better interpret failure features of the failure of soil in front of tunnel face, a new three-dimensional failure mechanism is proposed to analyze the limit support pressure of the tunnel face in multilayered cohesive-frictional soils. The new failure mechanism is composed of two truncated cones that represent the shear failure band and a distributed force acting on the truncated cones that represents the pressure arch effect. By introducing the concept of Terzaghi earth pressure theory, approximation of limit support pressures is calculated using the limit analysis methods. Then the limit support pressures obtained from the new failure mechanism and the existing approaches are compared, which show that the results obtained from the new mechanism in this paper provide relatively satisfactory results.