Analytic solutions of the forces and displacements for multicentre circular arc tunnels
type: Item
instance of: scholarly article
title: Analytic solutions of the forces and displacements for multicentre circular arc tunnels
zbMATH Open document ID: 1427.74177
DOI: 10.1155/2018/8409129
author: Xingbo Han
author: Yongxu Xia
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: A complex variable method for solving the forces and displacements for multicentre circular arc (MCA) tunnels by using analytical solutions is presented. The governing equations for the stresses and displacements are expressed in terms of series expression. Combined with the boundary conditions at lining inner region, lining-surrounding rock-mass interface, and infinity area, the undetermined coefficients of the analytic functions are obtained by solving a linear equation set. Forces solutions for linings are also presented according to the tangential stress at the two boundaries. Conformal mapping function for the MCA tunnel is given from the optimization method. Calculation results show that solutions with high accuracy can be obtained when the number of terms of power series is greater than 30. The effects of the degrees from the tunnel crown to the invert, coefficient of the lateral earth pressure, and distance from the rock-mass to the interface on regulations of the lining forces and rock-mass stresses are also thoroughly investigated.
Mathematics Subject Classification ID: 74S70
Mathematics Subject Classification ID: 74G60
Mathematics Subject Classification ID: 74L10
zbMATH DE Number: 7019607
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/8409129
OpenAlex ID: W2803758162
cites work: In-plane stability of arches
cites work: Analytical solutions for stresses and displacements around tunnels driven in cross-anisotropic rocks
cites work: Q5822969
Wikidata QID: Q129798562
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description: scientific article; zbMATH DE number 7019607