An analytical solution for stress and displacement field for arbitrarily positioned twin-tunnel excavation at great depth
type: Item
instance of: scholarly article
title: An analytical solution for stress and displacement field for arbitrarily positioned twin-tunnel excavation at great depth
zbMATH Open document ID: 1426.74201
DOI: 10.1155/2018/2947970
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 74K20
Mathematics Subject Classification ID: 74A10
Mathematics Subject Classification ID: 74L10
zbMATH DE Number: 7018735
author: Luo-bin Lin
author: Yan-ping Lu
author: Fu-quan Chen
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/2947970
OpenAlex ID: W2895842390
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Wikidata QID: Q129003712
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description: scientific article; zbMATH DE number 7018735