Limit Analysis of Collapse Mechanisms for Tunnel Roofs Subjected to Pore Water Pressure: A Numerical Approach
The collapse mechanism of a circular unlined tunnel roof subjected to the pore water pressure under plane strain conditions is investigated in this article. First, the model of calculating the function expression of the detaching surface for the collapsing block is formed in the framework of the upp...
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
|
| Series: | Advances in Civil Engineering |
| Online Access: | http://dx.doi.org/10.1155/2021/3591670 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832552535830822912 |
|---|---|
| author | Jing-jing Liu Tie-lin Chen Chang-ling Xie Jian-hua Tian Yu-xin Wei |
| author_facet | Jing-jing Liu Tie-lin Chen Chang-ling Xie Jian-hua Tian Yu-xin Wei |
| author_sort | Jing-jing Liu |
| collection | DOAJ |
| description | The collapse mechanism of a circular unlined tunnel roof subjected to the pore water pressure under plane strain conditions is investigated in this article. First, the model of calculating the function expression of the detaching surface for the collapsing block is formed in the framework of the upper bound theorem of limit analysis and the extremum principle. The analytical solution of the pore water pressure around the tunnel in a two-dimensional steady seepage field is employed in the equations of the model. Then, the numerical approach based on the Runge–Kutta algorithm and traversal search method is proposed to solve the complex equations. The obtained expression of the detaching surface for the collapsing block provides the shape of the collapsing block and a theoretical basis for designing the support force for tunnels. The proposed limit analysis method and numerical approach are verified by comparing with existing theoretical solutions and the numerical simulation result, and they are suitable for deep, shallow tunnels and layered strata. Moreover, the effects of different parameters on the collapse mechanism are investigated, and qualitative results are provided. |
| format | Article |
| id | doaj-art-debc5747b6234526b57220cbd2502678 |
| institution | Kabale University |
| issn | 1687-8086 1687-8094 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Civil Engineering |
| spelling | doaj-art-debc5747b6234526b57220cbd25026782025-02-03T05:58:31ZengWileyAdvances in Civil Engineering1687-80861687-80942021-01-01202110.1155/2021/35916703591670Limit Analysis of Collapse Mechanisms for Tunnel Roofs Subjected to Pore Water Pressure: A Numerical ApproachJing-jing Liu0Tie-lin Chen1Chang-ling Xie2Jian-hua Tian3Yu-xin Wei4Key Laboratory of Urban Underground Engineering of Ministry of Education, Beijing Jiaotong University, Beijing 100044, ChinaKey Laboratory of Urban Underground Engineering of Ministry of Education, Beijing Jiaotong University, Beijing 100044, ChinaZhejiang Huazhan Institute of Engineering Research & Design Co., Ltd., Ningbo 315010, ChinaBeijing Urban Rapid Transit Development Co., Ltd., Beijing 100027, ChinaBeijing Urban Rapid Transit Development Co., Ltd., Beijing 100027, ChinaThe collapse mechanism of a circular unlined tunnel roof subjected to the pore water pressure under plane strain conditions is investigated in this article. First, the model of calculating the function expression of the detaching surface for the collapsing block is formed in the framework of the upper bound theorem of limit analysis and the extremum principle. The analytical solution of the pore water pressure around the tunnel in a two-dimensional steady seepage field is employed in the equations of the model. Then, the numerical approach based on the Runge–Kutta algorithm and traversal search method is proposed to solve the complex equations. The obtained expression of the detaching surface for the collapsing block provides the shape of the collapsing block and a theoretical basis for designing the support force for tunnels. The proposed limit analysis method and numerical approach are verified by comparing with existing theoretical solutions and the numerical simulation result, and they are suitable for deep, shallow tunnels and layered strata. Moreover, the effects of different parameters on the collapse mechanism are investigated, and qualitative results are provided.http://dx.doi.org/10.1155/2021/3591670 |
| spellingShingle | Jing-jing Liu Tie-lin Chen Chang-ling Xie Jian-hua Tian Yu-xin Wei Limit Analysis of Collapse Mechanisms for Tunnel Roofs Subjected to Pore Water Pressure: A Numerical Approach Advances in Civil Engineering |
| title | Limit Analysis of Collapse Mechanisms for Tunnel Roofs Subjected to Pore Water Pressure: A Numerical Approach |
| title_full | Limit Analysis of Collapse Mechanisms for Tunnel Roofs Subjected to Pore Water Pressure: A Numerical Approach |
| title_fullStr | Limit Analysis of Collapse Mechanisms for Tunnel Roofs Subjected to Pore Water Pressure: A Numerical Approach |
| title_full_unstemmed | Limit Analysis of Collapse Mechanisms for Tunnel Roofs Subjected to Pore Water Pressure: A Numerical Approach |
| title_short | Limit Analysis of Collapse Mechanisms for Tunnel Roofs Subjected to Pore Water Pressure: A Numerical Approach |
| title_sort | limit analysis of collapse mechanisms for tunnel roofs subjected to pore water pressure a numerical approach |
| url | http://dx.doi.org/10.1155/2021/3591670 |
| work_keys_str_mv | AT jingjingliu limitanalysisofcollapsemechanismsfortunnelroofssubjectedtoporewaterpressureanumericalapproach AT tielinchen limitanalysisofcollapsemechanismsfortunnelroofssubjectedtoporewaterpressureanumericalapproach AT changlingxie limitanalysisofcollapsemechanismsfortunnelroofssubjectedtoporewaterpressureanumericalapproach AT jianhuatian limitanalysisofcollapsemechanismsfortunnelroofssubjectedtoporewaterpressureanumericalapproach AT yuxinwei limitanalysisofcollapsemechanismsfortunnelroofssubjectedtoporewaterpressureanumericalapproach |