Verification and Comparison of Direct Calculation Method for the Analysis of Support–Ground Interaction of a Circular Tunnel Excavation

A direct algorithmic process can deal with the solution of the support–ground interaction in a circular tunnel excavation through the convergence-confinement method (CCM) with the concept of increment. This process is the so-called direct calculation method (DCM) that can find solutions, the mobiliz...

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Main Authors: Yu-Lin Lee, Wen-Kuei Hsu, Po-Yu Chou, Pei-Wen Hsieh, Chi-Huang Ma, Wei-Cheng Kao
Format: Article
Language:English
Published: MDPI AG 2022-02-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/12/4/1929
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author Yu-Lin Lee
Wen-Kuei Hsu
Po-Yu Chou
Pei-Wen Hsieh
Chi-Huang Ma
Wei-Cheng Kao
author_facet Yu-Lin Lee
Wen-Kuei Hsu
Po-Yu Chou
Pei-Wen Hsieh
Chi-Huang Ma
Wei-Cheng Kao
author_sort Yu-Lin Lee
collection DOAJ
description A direct algorithmic process can deal with the solution of the support–ground interaction in a circular tunnel excavation through the convergence-confinement method (CCM) with the concept of increment. This process is the so-called direct calculation method (DCM) that can find solutions, the mobilized support pressure and the convergence, in the analysis of CCM. To achieve the solution, using two linear equations in the elastic region and Newton’s recursive method to find the roots in the plastic region are proposed and realized by a calculated spreadsheet. The validity of the algorithmic process for the analytical solutions was investigated and verified by the finite element computation, and compared with the published results, Rocksupport (2004), Oreste (2009), and Gschwandtner-Galler (2012). The results obtained between DCM and related studies show no significant differences.
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spelling doaj.art-b50e64a708164369a129b4bf9402d0882023-11-23T18:36:22ZengMDPI AGApplied Sciences2076-34172022-02-01124192910.3390/app12041929Verification and Comparison of Direct Calculation Method for the Analysis of Support–Ground Interaction of a Circular Tunnel ExcavationYu-Lin Lee0Wen-Kuei Hsu1Po-Yu Chou2Pei-Wen Hsieh3Chi-Huang Ma4Wei-Cheng Kao5Department of Civil Engineering, Chung Hua University, No. 707, Sec. 2, Wufu Rd., Hsinchu 30012, TaiwanDepartment of Civil and Disaster Prevention Engineering, National United University, No. 2 Lienda Rd., Miaoli 36003, TaiwanDepartment of Civil Engineering, Chung Hua University, No. 707, Sec. 2, Wufu Rd., Hsinchu 30012, TaiwanDepartment of Civil Engineering, Chung Hua University, No. 707, Sec. 2, Wufu Rd., Hsinchu 30012, TaiwanDepartment of Civil Engineering, Chung Hua University, No. 707, Sec. 2, Wufu Rd., Hsinchu 30012, TaiwanDepartment of Civil Engineering, Chung Hua University, No. 707, Sec. 2, Wufu Rd., Hsinchu 30012, TaiwanA direct algorithmic process can deal with the solution of the support–ground interaction in a circular tunnel excavation through the convergence-confinement method (CCM) with the concept of increment. This process is the so-called direct calculation method (DCM) that can find solutions, the mobilized support pressure and the convergence, in the analysis of CCM. To achieve the solution, using two linear equations in the elastic region and Newton’s recursive method to find the roots in the plastic region are proposed and realized by a calculated spreadsheet. The validity of the algorithmic process for the analytical solutions was investigated and verified by the finite element computation, and compared with the published results, Rocksupport (2004), Oreste (2009), and Gschwandtner-Galler (2012). The results obtained between DCM and related studies show no significant differences.https://www.mdpi.com/2076-3417/12/4/1929tunnel analysisdirect algorithmic processsupport-ground interactionconfinement lossNewton’s recursive methodconvergence-confinement method
spellingShingle Yu-Lin Lee
Wen-Kuei Hsu
Po-Yu Chou
Pei-Wen Hsieh
Chi-Huang Ma
Wei-Cheng Kao
Verification and Comparison of Direct Calculation Method for the Analysis of Support–Ground Interaction of a Circular Tunnel Excavation
Applied Sciences
tunnel analysis
direct algorithmic process
support-ground interaction
confinement loss
Newton’s recursive method
convergence-confinement method
title Verification and Comparison of Direct Calculation Method for the Analysis of Support–Ground Interaction of a Circular Tunnel Excavation
title_full Verification and Comparison of Direct Calculation Method for the Analysis of Support–Ground Interaction of a Circular Tunnel Excavation
title_fullStr Verification and Comparison of Direct Calculation Method for the Analysis of Support–Ground Interaction of a Circular Tunnel Excavation
title_full_unstemmed Verification and Comparison of Direct Calculation Method for the Analysis of Support–Ground Interaction of a Circular Tunnel Excavation
title_short Verification and Comparison of Direct Calculation Method for the Analysis of Support–Ground Interaction of a Circular Tunnel Excavation
title_sort verification and comparison of direct calculation method for the analysis of support ground interaction of a circular tunnel excavation
topic tunnel analysis
direct algorithmic process
support-ground interaction
confinement loss
Newton’s recursive method
convergence-confinement method
url https://www.mdpi.com/2076-3417/12/4/1929
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