Analytic Solutions of the Forces and Displacements for Multicentre Circular Arc Tunnels
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-05-16
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Han, Xingbo& Xia, Yongxu. 2018. Analytic Solutions of the Forces and Displacements for Multicentre Circular Arc Tunnels. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-14.
https://search.emarefa.net/detail/BIM-1209324
Modern Language Association (MLA)
Han, Xingbo& Xia, Yongxu. Analytic Solutions of the Forces and Displacements for Multicentre Circular Arc Tunnels. Mathematical Problems in Engineering No. 2018 (2018), pp.1-14.
https://search.emarefa.net/detail/BIM-1209324
American Medical Association (AMA)
Han, Xingbo& Xia, Yongxu. Analytic Solutions of the Forces and Displacements for Multicentre Circular Arc Tunnels. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-14.
https://search.emarefa.net/detail/BIM-1209324
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1209324