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Geotechnical and Geological Engineering

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02-04-2018 | Original Paper

Explicit Procedure and Analytical Solution for the Ground Reaction Due to Advance Excavation of a Circular Tunnel in an Anisotropic Stress Field

Author: Yu-Lin Lee

Published in: Geotechnical and Geological Engineering | Issue 5/2018

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Abstract

The convergence–confinement method applied in boring a circular tunnel through a rock-mass assumed to be subject to a non-hydrostatic stress is investigated. The closed-form analytical solutions of the stresses/displacements in the elastic region and plastic region for the ground reaction due to excavation of the tunnel in an anisotropic stress state field are presented in a theoretically consistent way. The explicit procedure realized the analytical solution to an executable computation that can be estimated using a simple spreadsheet. The validity of the procedure for the analytical solution was examined by numerical analysis to investigate the influence of in situ stress ratio on the ground reaction curve, the stress path at the intrados of the tunnel, and the distribution of stresses/displacements on the cross-sections of a circular tunnel. The agreement between the finite element results and the proposed closed-form solutions with the explicit procedure was found to be excellent.

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Title: Explicit Procedure and Analytical Solution for the Ground Reaction Due to Advance Excavation of a Circular Tunnel in an Anisotropic Stress Field
Author: Yu-Lin Lee
Publication date: 02-04-2018
Publisher: Springer International Publishing
Published in: Geotechnical and Geological Engineering / Issue 5/2018
Print ISSN: 0960-3182
Electronic ISSN: 1573-1529
DOI: https://doi.org/10.1007/s10706-018-0537-4

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