Explicit Procedure and Analytical Solution for the Ground Reaction Due to Advance Excavation of a Circular Tunnel in an Anisotropic Stress Field
The convergence–confinement method applied in boring a circular tunnel through a rock-mass assumed to be subject to a non-hydrostatic stress is investigated. The closed-form analytical solutions of the stresses/displacements in the elastic region and plastic region for the ground reaction due to exc...
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| Published in | Geotechnical and geological engineering Vol. 36; no. 5; pp. 3281 - 3309 |
|---|---|
| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Cham
Springer International Publishing
01.10.2018
Springer Nature B.V |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0960-3182 1573-1529 |
| DOI | 10.1007/s10706-018-0537-4 |
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| Abstract | The convergence–confinement method applied in boring a circular tunnel through a rock-mass assumed to be subject to a non-hydrostatic stress is investigated. The closed-form analytical solutions of the stresses/displacements in the elastic region and plastic region for the ground reaction due to excavation of the tunnel in an anisotropic stress state field are presented in a theoretically consistent way. The explicit procedure realized the analytical solution to an executable computation that can be estimated using a simple spreadsheet. The validity of the procedure for the analytical solution was examined by numerical analysis to investigate the influence of in situ stress ratio on the ground reaction curve, the stress path at the intrados of the tunnel, and the distribution of stresses/displacements on the cross-sections of a circular tunnel. The agreement between the finite element results and the proposed closed-form solutions with the explicit procedure was found to be excellent. |
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| AbstractList | The convergence–confinement method applied in boring a circular tunnel through a rock-mass assumed to be subject to a non-hydrostatic stress is investigated. The closed-form analytical solutions of the stresses/displacements in the elastic region and plastic region for the ground reaction due to excavation of the tunnel in an anisotropic stress state field are presented in a theoretically consistent way. The explicit procedure realized the analytical solution to an executable computation that can be estimated using a simple spreadsheet. The validity of the procedure for the analytical solution was examined by numerical analysis to investigate the influence of in situ stress ratio on the ground reaction curve, the stress path at the intrados of the tunnel, and the distribution of stresses/displacements on the cross-sections of a circular tunnel. The agreement between the finite element results and the proposed closed-form solutions with the explicit procedure was found to be excellent. |
| Author | Lee, Yu-Lin |
| Author_xml | – sequence: 1 givenname: Yu-Lin orcidid: 0000-0002-1567-3529 surname: Lee fullname: Lee, Yu-Lin email: rosalee@chu.edu.tw organization: Department of Civil Engineering, Chung-Hua University |
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| CitedBy_id | crossref_primary_10_1080_19648189_2019_1657960 crossref_primary_10_3390_math10081223 crossref_primary_10_1007_s10706_020_01539_4 crossref_primary_10_1080_02533839_2019_1676653 crossref_primary_10_1016_j_ijmst_2020_04_002 crossref_primary_10_1080_02533839_2020_1719901 crossref_primary_10_3390_math11153389 crossref_primary_10_1007_s10064_021_02247_w crossref_primary_10_3390_math11010243 crossref_primary_10_3390_app12041929 |
| Cites_doi | 10.1051/geotech/1992060005 10.1061/(ASCE)0733-9410(1983)109:1(15) 10.1016/S1365-1609(97)80037-8 10.3844/ajassp.2009.757.771 10.1016/j.tust.2006.12.001 10.1061/(ASCE)0733-9410(1991)117:12(1880) 10.1016/j.tust.2009.07.004 10.1016/j.ijrmms.2003.12.014 10.1016/S0886-7798(03)00004-X 10.1016/j.ijrmms.2011.06.008 10.1016/j.tust.2006.06.004 10.1007/BF01043117 10.1016/j.tust.2012.11.001 10.1016/j.ijrmms.2005.03.019 10.1061/(ASCE)0733-9410(1996)122:9(703) 10.1016/S0148-9062(99)00047-9 10.1016/j.ijrmms.2005.11.004 10.1002/(SICI)1096-9853(199609)20:9<673::AID-NAG845>3.0.CO;2-9 10.1016/S0886-7798(00)00046-8 10.1016/S1365-1609(03)00040-6 10.1007/978-3-662-25703-6_12 |
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| Keywords | Tunneling Convergence–confinement method (CCM) Confinement loss Explicit procedure Anisotropic stress field Analytical solution |
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Rock Mech Min Sci doi: 10.1016/S1365-1609(03)00040-6 – volume: 22 start-page: 230 year: 2007 ident: 537_CR12 publication-title: Tunn Undergr Space Technol doi: 10.1016/j.tust.2006.06.004 – volume: 15 start-page: 187 issue: 2 year: 2000 ident: 537_CR9 publication-title: Tunn Undergr Space Technol doi: 10.1016/S0886-7798(00)00046-8 – volume-title: Underground excavations in rock year: 1980 ident: 537_CR13 – ident: 537_CR19 – volume: 42 start-page: 797 year: 1898 ident: 537_CR14 publication-title: Zeit Ver Deut Ing J – volume: 24 start-page: 689 year: 2011 ident: 537_CR2 publication-title: Tunn Undergr Space Technol doi: 10.1016/j.tust.2009.07.004 – ident: 537_CR15 – volume: 59 start-page: 119 year: 1983 ident: 537_CR1 publication-title: Tunnels et Ouvrages Souterrains – volume: 60 start-page: 5 year: 1992 ident: 537_CR3 publication-title: Rev Fr Géotech doi: 10.1051/geotech/1992060005 – volume-title: Rock mechanics for underground mining year: 1993 ident: 537_CR5 – volume: 34 start-page: 117 issue: 1 year: 1997 ident: 537_CR34 publication-title: Int J Rock Mech Min Sci doi: 10.1016/S1365-1609(97)80037-8 – volume: 28 start-page: 39 issue: 1 year: 2009 ident: 537_CR18 publication-title: Chin J Rock Mechan Eng – volume: 43 start-page: 616 year: 2006 ident: 537_CR29 publication-title: Int J Rock Mech Min Sci doi: 10.1016/j.ijrmms.2005.11.004 – ident: 537_CR28 – ident: 537_CR26 – volume: 48 start-page: 878 year: 2011 ident: 537_CR31 publication-title: Int J Rock Mech Min Sci doi: 10.1016/j.ijrmms.2011.06.008 – volume-title: Le Calcul des Tunnels par la Méthode de Convergence–Confinement year: 1995 ident: 537_CR25 – volume: 42 start-page: 42 year: 2005 ident: 537_CR33 publication-title: Int J Rock Mech Min Sci doi: 10.1016/j.ijrmms.2005.03.019 – volume: 21 start-page: 119 year: 1988 ident: 537_CR10 publication-title: Rock Mech Rock Eng doi: 10.1007/BF01043117 – volume: 77 start-page: 228 year: 1986 ident: 537_CR24 publication-title: Tunnels et Ouvrages Souterrains – volume: 41 start-page: 480 issue: 3 year: 2004 ident: 537_CR7 publication-title: Int J Rock Mech Min Sci doi: 10.1016/j.ijrmms.2003.12.014 – volume: 34 start-page: 54 year: 2013 ident: 537_CR30 publication-title: Tunn Undergr Space Technol doi: 10.1016/j.tust.2012.11.001 – volume: 27 start-page: 258 issue: 2 year: 2008 ident: 537_CR17 publication-title: Chin J Rock Mechan Eng – volume: 6 start-page: 755 issue: 4 year: 2009 ident: 537_CR22 publication-title: Am J Appl Sci doi: 10.3844/ajassp.2009.757.771 – ident: 537_CR16 – ident: 537_CR20 – volume: 109 start-page: 15 year: 1983 ident: 537_CR6 publication-title: J Geotech Eng ASCE doi: 10.1061/(ASCE)0733-9410(1983)109:1(15) – volume: 18 start-page: 347 year: 2003 ident: 537_CR21 publication-title: Tunn Undergr Space Technol doi: 10.1016/S0886-7798(03)00004-X – volume: 122 start-page: 703 issue: 9 year: 1996 ident: 537_CR35 publication-title: J Geotech Eng ASCE doi: 10.1061/(ASCE)0733-9410(1996)122:9(703) – volume: 20 start-page: 673 issue: 9 year: 1996 ident: 537_CR4 publication-title: Int J Numer Anal Meth Geomech doi: 10.1002/(SICI)1096-9853(199609)20:9<673::AID-NAG845>3.0.CO;2-9 – volume: 23 start-page: 25 issue: 1 year: 2008 ident: 537_CR11 publication-title: Tunn Undergr Space Technol doi: 10.1016/j.tust.2006.12.001 |
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| SubjectTerms | Anisotropy Circularity Civil Engineering Closed form solutions Computation Dredging Earth and Environmental Science Earth Sciences Economic models Exact solutions Excavation Finite element method Geotechnical Engineering & Applied Earth Sciences Hydrogeology Numerical analysis Original Paper Spreadsheets Stress concentration Stress distribution Stress ratio Terrestrial Pollution Tunnels Waste Management/Waste Technology |
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| Title | Explicit Procedure and Analytical Solution for the Ground Reaction Due to Advance Excavation of a Circular Tunnel in an Anisotropic Stress Field |
| URI | https://link.springer.com/article/10.1007/s10706-018-0537-4 https://www.proquest.com/docview/2259811232 |
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