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An Analytical Solution for Stress and Displacement Field for Arbitrarily Positioned Twin-Tunnel Excavation at Great Depth
Joint Authors
Chen, Fuquan
Lv, Yanping
Lin, Luobin
Source
Mathematical Problems in Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-10-18
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
In this study, an analytical solution for the stress and displacement field for arbitrarily positioned twin-tunnel excavation at great depth is proposed.
The twin-tunnel is subjected to equivalent loads on the tunnel periphery and uniform loads at infinity.
The analytical continuation of the complex variable method is used for stress “stair”, owing to the equivalent loads of the tunnel support.
Subsequently, the Schwarz alternating method and Cauchy integral formula are used.
The redundant surface forces on the periphery are expanded into Laurent series in the sequence of iterations, and a reasonable series truncation is adopted.
Comparing with several existing solutions covering special cases from different perspectives, it is found that the proposed solution meets accuracy requirements for tunnel center distance greater than 2.2 times tunnel radius after 1.5 iterations.
The proposed solution is fast and yields reference value to tunnel engineering.
American Psychological Association (APA)
Lin, Luobin& Lv, Yanping& Chen, Fuquan. 2018. An Analytical Solution for Stress and Displacement Field for Arbitrarily Positioned Twin-Tunnel Excavation at Great Depth. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1206570
Modern Language Association (MLA)
Lin, Luobin…[et al.]. An Analytical Solution for Stress and Displacement Field for Arbitrarily Positioned Twin-Tunnel Excavation at Great Depth. Mathematical Problems in Engineering No. 2018 (2018), pp.1-9.
https://search.emarefa.net/detail/BIM-1206570
American Medical Association (AMA)
Lin, Luobin& Lv, Yanping& Chen, Fuquan. An Analytical Solution for Stress and Displacement Field for Arbitrarily Positioned Twin-Tunnel Excavation at Great Depth. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1206570
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1206570