Effect of Overburden Depth and Stress Anisotropy on a Ground Reaction Caused by Advancing Excavation of a Circular Tunnel
The assumption of the Convergence–Confinement Method (CCM) is the analysis of the interaction behavior of the support and ground of a deep circular tunnel under an isotropic stress field. Aiming to improve this method, this paper proposes a discussion on the influence of the overburden depth and str...
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MDPI AG
2023-01-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/11/1/243 |
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| author | Yu-Lin Lee Ming-Long Zhu Chi-Huang Ma Chih-Sheng Chen Chi-Min Lee |
| author_facet | Yu-Lin Lee Ming-Long Zhu Chi-Huang Ma Chih-Sheng Chen Chi-Min Lee |
| author_sort | Yu-Lin Lee |
| collection | DOAJ |
| description | The assumption of the Convergence–Confinement Method (CCM) is the analysis of the interaction behavior of the support and ground of a deep circular tunnel under an isotropic stress field. Aiming to improve this method, this paper proposes a discussion on the influence of the overburden depth and stress anisotropy. To consider the influence of the overburden effect, the ground reaction in different depths due to tunnel advancing excavation is investigated. Under anisotropic stress conditions, the analytical solutions of the stress/displacement in the plastic and elastic regions of this ground reaction can also be suitable for theoretical analysis in a consistent manner. The key factor in this study is the use of confinement loss, which can not only describe the simulation of tunnel advancing effects but also become a superimposed value of the incremental procedure. In addition, the calculation spreadsheets can be used to estimate and implement the theoretical analytical solutions into executable computational solutions. To check the validity of the analytical solution, finite element analysis is used to examine the distribution of stress/displacement around the tunnel, especially the distribution along the overburden pressure line in the circular tunnel cross-section. Comparing the analytical solution calculated by the incremental procedure with the result of the numerical analysis shows a consistent trend. |
| first_indexed | 2024-03-09T09:44:57Z |
| format | Article |
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| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-09T09:44:57Z |
| publishDate | 2023-01-01 |
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| series | Mathematics |
| spelling | doaj.art-9bc5058a034d42a692eaaf08fa4b897c2023-12-02T00:39:56ZengMDPI AGMathematics2227-73902023-01-0111124310.3390/math11010243Effect of Overburden Depth and Stress Anisotropy on a Ground Reaction Caused by Advancing Excavation of a Circular TunnelYu-Lin Lee0Ming-Long Zhu1Chi-Huang Ma2Chih-Sheng Chen3Chi-Min Lee4Department of Civil Engineering, Chung Hua University, Hsinchu 30012, TaiwanDepartment of Civil Engineering, Chung Hua University, Hsinchu 30012, TaiwanDepartment of Civil Engineering, Chung Hua University, Hsinchu 30012, TaiwanDepartment of Civil Engineering, Chung Hua University, Hsinchu 30012, TaiwanDepartment of Civil Engineering, National Central University, Taoyuan City 32001, TaiwanThe assumption of the Convergence–Confinement Method (CCM) is the analysis of the interaction behavior of the support and ground of a deep circular tunnel under an isotropic stress field. Aiming to improve this method, this paper proposes a discussion on the influence of the overburden depth and stress anisotropy. To consider the influence of the overburden effect, the ground reaction in different depths due to tunnel advancing excavation is investigated. Under anisotropic stress conditions, the analytical solutions of the stress/displacement in the plastic and elastic regions of this ground reaction can also be suitable for theoretical analysis in a consistent manner. The key factor in this study is the use of confinement loss, which can not only describe the simulation of tunnel advancing effects but also become a superimposed value of the incremental procedure. In addition, the calculation spreadsheets can be used to estimate and implement the theoretical analytical solutions into executable computational solutions. To check the validity of the analytical solution, finite element analysis is used to examine the distribution of stress/displacement around the tunnel, especially the distribution along the overburden pressure line in the circular tunnel cross-section. Comparing the analytical solution calculated by the incremental procedure with the result of the numerical analysis shows a consistent trend.https://www.mdpi.com/2227-7390/11/1/243overburden depthanisotropic stressConvergence–Confinement Methodtunnel analysisfinite element analysisconfinement loss |
| spellingShingle | Yu-Lin Lee Ming-Long Zhu Chi-Huang Ma Chih-Sheng Chen Chi-Min Lee Effect of Overburden Depth and Stress Anisotropy on a Ground Reaction Caused by Advancing Excavation of a Circular Tunnel Mathematics overburden depth anisotropic stress Convergence–Confinement Method tunnel analysis finite element analysis confinement loss |
| title | Effect of Overburden Depth and Stress Anisotropy on a Ground Reaction Caused by Advancing Excavation of a Circular Tunnel |
| title_full | Effect of Overburden Depth and Stress Anisotropy on a Ground Reaction Caused by Advancing Excavation of a Circular Tunnel |
| title_fullStr | Effect of Overburden Depth and Stress Anisotropy on a Ground Reaction Caused by Advancing Excavation of a Circular Tunnel |
| title_full_unstemmed | Effect of Overburden Depth and Stress Anisotropy on a Ground Reaction Caused by Advancing Excavation of a Circular Tunnel |
| title_short | Effect of Overburden Depth and Stress Anisotropy on a Ground Reaction Caused by Advancing Excavation of a Circular Tunnel |
| title_sort | effect of overburden depth and stress anisotropy on a ground reaction caused by advancing excavation of a circular tunnel |
| topic | overburden depth anisotropic stress Convergence–Confinement Method tunnel analysis finite element analysis confinement loss |
| url | https://www.mdpi.com/2227-7390/11/1/243 |
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