Numerical analyses for three-dimensional face stability of circular tunnels in purely cohesive soils with linearly increasing strength

Abstract The tunnel face stability in purely cohesive soils with linearly increasing strength was investigated using three-dimensional finite element limit analysis (FELA). Both the collapse (active failure) and blow-out (passive failure) of the tunnel face were considered in the analysis. The rigor...

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Main Authors: Bing Huang, Daidai Yu, Yinting Zhao, Junfeng Zhu
Format: Article
Language:English
Published: Nature Portfolio 2024-03-01
Series:Scientific Reports
Online Access:https://doi.org/10.1038/s41598-023-49065-6
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author Bing Huang
Daidai Yu
Yinting Zhao
Junfeng Zhu
author_facet Bing Huang
Daidai Yu
Yinting Zhao
Junfeng Zhu
author_sort Bing Huang
collection DOAJ
description Abstract The tunnel face stability in purely cohesive soils with linearly increasing strength was investigated using three-dimensional finite element limit analysis (FELA). Both the collapse (active failure) and blow-out (passive failure) of the tunnel face were considered in the analysis. The rigorous upper bound (UB) and lower bound (LB) solutions of the load factor were calculated with a wide range of ground conditions to cover a broad scope of practical application. The results showed that the whole surface of the face is at failure in the collapse case; while in the blow-out case, there exists a gradual evolution process from partial failure to global failure within the tunnel face with increasing buried depth. Later, based on 960 finite element limit analysis results, a series of practical equations were proposed for tunnel face stability analysis in purely cohesive soils. These equations can be employed to quickly calculate the UB and LB solutions of the limit support pressure and the stability number of a tunnel face in both the collapse and blow-out cases. Finally, the calculation results from these equations were compared with those from previous studies in detail. The comparisons showed that the proposed equations make an improvement over existing methods and can be used as an efficient tool in practical engineering.
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spelling doaj.art-11b318214e27466fa02241204997ac692024-03-17T12:23:50ZengNature PortfolioScientific Reports2045-23222024-03-0114111210.1038/s41598-023-49065-6Numerical analyses for three-dimensional face stability of circular tunnels in purely cohesive soils with linearly increasing strengthBing Huang0Daidai Yu1Yinting Zhao2Junfeng Zhu3Sichuan Expressway Construction and Development Group Co., LtdShudao Investment Group Co. LTD.Shudao Investment Group Co. LTD.Shudao Investment Group Co. LTD.Abstract The tunnel face stability in purely cohesive soils with linearly increasing strength was investigated using three-dimensional finite element limit analysis (FELA). Both the collapse (active failure) and blow-out (passive failure) of the tunnel face were considered in the analysis. The rigorous upper bound (UB) and lower bound (LB) solutions of the load factor were calculated with a wide range of ground conditions to cover a broad scope of practical application. The results showed that the whole surface of the face is at failure in the collapse case; while in the blow-out case, there exists a gradual evolution process from partial failure to global failure within the tunnel face with increasing buried depth. Later, based on 960 finite element limit analysis results, a series of practical equations were proposed for tunnel face stability analysis in purely cohesive soils. These equations can be employed to quickly calculate the UB and LB solutions of the limit support pressure and the stability number of a tunnel face in both the collapse and blow-out cases. Finally, the calculation results from these equations were compared with those from previous studies in detail. The comparisons showed that the proposed equations make an improvement over existing methods and can be used as an efficient tool in practical engineering.https://doi.org/10.1038/s41598-023-49065-6
spellingShingle Bing Huang
Daidai Yu
Yinting Zhao
Junfeng Zhu
Numerical analyses for three-dimensional face stability of circular tunnels in purely cohesive soils with linearly increasing strength
Scientific Reports
title Numerical analyses for three-dimensional face stability of circular tunnels in purely cohesive soils with linearly increasing strength
title_full Numerical analyses for three-dimensional face stability of circular tunnels in purely cohesive soils with linearly increasing strength
title_fullStr Numerical analyses for three-dimensional face stability of circular tunnels in purely cohesive soils with linearly increasing strength
title_full_unstemmed Numerical analyses for three-dimensional face stability of circular tunnels in purely cohesive soils with linearly increasing strength
title_short Numerical analyses for three-dimensional face stability of circular tunnels in purely cohesive soils with linearly increasing strength
title_sort numerical analyses for three dimensional face stability of circular tunnels in purely cohesive soils with linearly increasing strength
url https://doi.org/10.1038/s41598-023-49065-6
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