Analytical solution; Arching effect; Lining forces; Numerical analysis; Soil-structure interaction; Tunnel design; Analytical and numerical solutions; Arching effects; Construction method; Engineering practices; Equivalent boundary; Initial conditions; Soil constitutive model; Building and Construction; Geotechnical Engineering and Engineering Geology
Abstract :
[en] Structural design of linings requires a reliable prognosis of lining forces and deformations. In engineering practice, both analytical and numerical solutions are popular to be employed to predict the system behavior. This paper employs the commonly accepted analytical solutions to calculate the lining forces and deformations for both shallow and deep tunnels, the results are compared to the numerical results for corresponding equivalent boundary conditions, initial conditions and identical material properties. Afterward, more sophisticated constitutive models for soil/structure elements in conjunction with more realistic construction aspects are taken into account. The comparison of the results of analytical and numerical solutions highlights the differences between these two well accepted methods as well as the effect of considering realistic features in numerical simulations. Moreover, the lining forces and deformations obtained from plain strain condition are compared to the 3D numerical results. The results show that the analytical bedding model is able to reasonably predict the lining behavior for both shallow and deep tunnels even if the soil is assumed to be an elastic material. In numerical solutions, lining forces and deformations depend to a large extent on the applied soil constitutive model and construction method. The face support pressure, backfill grouting and arching effect cannot be captured appropriately in plain strain condition, which leads to the discrepancy between the model responses obtained from 2D numerical/analytical solutions and realistic 3D simulations.
Disciplines :
Civil engineering
Author, co-author :
Zhao, Chenyang; Ruhr-Universität Bochum, Chair of Foundation Engineering, Soil and Rock Mechanics, Bochum, Germany
ALIMARDANI LAVASAN, Arash ; University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Engineering (DoE)
Barciaga, Thomas; Ruhr-Universität Bochum, Chair of Foundation Engineering, Soil and Rock Mechanics, Bochum, Germany
Kämper, Christoph; Ruhr-Universität Bochum, Institute of Concrete Structures, Bochum, Germany
Mark, Peter; Ruhr-Universität Bochum, Institute of Concrete Structures, Bochum, Germany
Schanz, Tom; Ruhr-Universität Bochum, Chair of Foundation Engineering, Soil and Rock Mechanics, Bochum, Germany
External co-authors :
yes
Language :
English
Title :
Prediction of tunnel lining forces and deformations using analytical and numerical solutions
German Research Foundation China Scholarship Council
Funding text :
This research has been supported by the German Research Foundation (DFG) through the Collaborative Research Center (SFB 837), and the first author is sponsored through a scholarship by China Scholarship Council (CSC). These supports are gratefully acknowledged. Moreover, the authors appreciate the discussion with Mr. Thomas Putke on the analytical solutions of tunnel lining forces.
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