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Complex Variable Solutions for Forces and Displacements of Circular Lined Tunnels
Joint Authors
Wang, Xing
Xia, Yongxu
Han, Xingbo
Chai, Lunlei
Source
Mathematical Problems in Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-09-16
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
A complex variable method for solving the forces and displacements of circular lined tunnels is presented.
Complex potentials for the stresses and displacements are expressed in the term of series expression.
The undetermined coefficients of the complex potentials are obtained according to the stress boundary conditions along the lining inner surface and the displacement and surface traction boundary condition along the lining and rock-mass interface.
Solutions for the stresses and displacements of the tunnel lining and rock-mass are then established by applying Muskhekishvili’s complex variable method.
In addition, forces solutions for linings are presented based on the tangential stress at the two boundaries.
Examples are finally established to reveal the applicability and accuracy of the proposed method.
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 the regulations of the lining forces and rock-mass stresses are also thoroughly investigated.
American Psychological Association (APA)
Han, Xingbo& Xia, Yongxu& Wang, Xing& Chai, Lunlei. 2018. Complex Variable Solutions for Forces and Displacements of Circular Lined Tunnels. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-12.
https://search.emarefa.net/detail/BIM-1206002
Modern Language Association (MLA)
Han, Xingbo…[et al.]. Complex Variable Solutions for Forces and Displacements of Circular Lined Tunnels. Mathematical Problems in Engineering No. 2018 (2018), pp.1-12.
https://search.emarefa.net/detail/BIM-1206002
American Medical Association (AMA)
Han, Xingbo& Xia, Yongxu& Wang, Xing& Chai, Lunlei. Complex Variable Solutions for Forces and Displacements of Circular Lined Tunnels. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-12.
https://search.emarefa.net/detail/BIM-1206002
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1206002