Stability analysis of a circular tunnel constructed in soil with a circular void
Tao Liu,Rui Zhang,Yao Xiao,Shilin Luo,Tiebiao Liu
Abstract
This paper presents a comprehensive investigation into the stability of a circular tunnel constructed in soil containing a circular void. To achieve this, an adaptive finite element limit analysis (FELA) approach, combined with nonlinear programming (NLP), is employed. To enhance the convergence speed of the NLP algorithm, a novel approach is introduced, incorporating the feasible arc interior point algorithm (FAIPA) to perturb the search direction through a secondary deflection, and an imprecise step search algorithm to improve the efficiency of step length search. Based on the FELA method, both the upper bound (UB) and lower bound (LB) of the non-dimensional stability number are computed. Extensive parametric studies are conducted to evaluate the effects of key parameters on tunnel stability. The computational results are effectively conveyed through the utilization of dimensionless stability tables and charts, specifically designed to facilitate ease of use by engineers. Furthermore, meticulous examination of typical failure mechanisms provides deep insights into the complex behavior of tunnels under varying conditions.
Tao Liu, Rui Zhang, Shilin Luo β College of Civil Engineering, Changsha University, 98 Hongshan road, Kaifu district, Changsha, 410022, PR China
Yao Xiao β College of Civil Engineering and Architecture, Guangxi University, 100 Daxue east road, Xixiangtang district, Guangxi, 530004, PR China
Tiebiao Liu β Geophysical and Geochemical Survey Institute of Hunan Province, 898 Duan 2, Wanjiali south road, Tianxi district, Changsha, 410114, PR China
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