Failure Mode of Deep-Buried Rectangular Chamber and Upper Bound Solution of Surrounding Rock Pressure
In order to obtain more reasonable failure modes and more precise surrounding rock pressures of deep-buried underground rectangular chambers, the failure mode of a “wedge-shaped collapse body + arc rotator + logarithmic spiral rotator” deep-buried chamber is constructed based on the analysis of exis...
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MDPI AG
2024-12-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/13/1/69 |
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| author | Daobing Zhang Linhai Zeng Zhilin Lv Xiaochuan Yu Chang Liu Anming Jiang Xianyong Jiang Qi Li Yongxiang Yang |
| author_facet | Daobing Zhang Linhai Zeng Zhilin Lv Xiaochuan Yu Chang Liu Anming Jiang Xianyong Jiang Qi Li Yongxiang Yang |
| author_sort | Daobing Zhang |
| collection | DOAJ |
| description | In order to obtain more reasonable failure modes and more precise surrounding rock pressures of deep-buried underground rectangular chambers, the failure mode of a “wedge-shaped collapse body + arc rotator + logarithmic spiral rotator” deep-buried chamber is constructed based on the analysis of existing failure mode. The upper bound solution of the surrounding rock pressure is derived based on limit analysis. The validity of the proposed failure model and the reliability of the limit analysis approach are demonstrated through numerical simulations, theoretical verification, and comparisons with engineering practices. The influence of various parameters on surrounding rock pressure is analyzed. The results show that each parameter has different influence on the surrounding rock pressure. The surrounding rock pressure <i>q</i> and <i>e</i> increases linearly with the increase in rock gravity <i>γ</i> and chamber size, and decreases with the increase in cohesion <i>c</i> and internal friction angle <i>φ</i>. The surrounding rock pressure <i>q</i> decreases with the increase in lateral pressure coefficient <i>K</i>, while surrounding rock pressure <i>e</i> increases with the increase in lateral pressure coefficient <i>K</i>. |
| first_indexed | 2025-02-17T03:33:30Z |
| format | Article |
| id | doaj.art-eac51f2786644627acc046aec89fd219 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2025-02-17T03:33:30Z |
| publishDate | 2024-12-01 |
| publisher | MDPI AG |
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| series | Mathematics |
| spelling | doaj.art-eac51f2786644627acc046aec89fd2192025-01-10T13:18:09ZengMDPI AGMathematics2227-73902024-12-011316910.3390/math13010069Failure Mode of Deep-Buried Rectangular Chamber and Upper Bound Solution of Surrounding Rock PressureDaobing Zhang0Linhai Zeng1Zhilin Lv2Xiaochuan Yu3Chang Liu4Anming Jiang5Xianyong Jiang6Qi Li7Yongxiang Yang8Sanya Institute of Hunan University of Science and Technology, Sanya 572024, ChinaSanya Institute of Hunan University of Science and Technology, Sanya 572024, ChinaChina Gezhouba Group Road & Bridge Co., Ltd., Yichang 443002, ChinaChina Gezhouba Group Road & Bridge Co., Ltd., Yichang 443002, ChinaChina Gezhouba Group Road & Bridge Co., Ltd., Yichang 443002, ChinaSchool of Resource Environment and Safety Engineering, Hunan University of Science and Technology, Xiangtan 411201, ChinaSchool of Resource Environment and Safety Engineering, Hunan University of Science and Technology, Xiangtan 411201, ChinaSchool of Resource Environment and Safety Engineering, Hunan University of Science and Technology, Xiangtan 411201, ChinaSchool of Resource Environment and Safety Engineering, Hunan University of Science and Technology, Xiangtan 411201, ChinaIn order to obtain more reasonable failure modes and more precise surrounding rock pressures of deep-buried underground rectangular chambers, the failure mode of a “wedge-shaped collapse body + arc rotator + logarithmic spiral rotator” deep-buried chamber is constructed based on the analysis of existing failure mode. The upper bound solution of the surrounding rock pressure is derived based on limit analysis. The validity of the proposed failure model and the reliability of the limit analysis approach are demonstrated through numerical simulations, theoretical verification, and comparisons with engineering practices. The influence of various parameters on surrounding rock pressure is analyzed. The results show that each parameter has different influence on the surrounding rock pressure. The surrounding rock pressure <i>q</i> and <i>e</i> increases linearly with the increase in rock gravity <i>γ</i> and chamber size, and decreases with the increase in cohesion <i>c</i> and internal friction angle <i>φ</i>. The surrounding rock pressure <i>q</i> decreases with the increase in lateral pressure coefficient <i>K</i>, while surrounding rock pressure <i>e</i> increases with the increase in lateral pressure coefficient <i>K</i>.https://www.mdpi.com/2227-7390/13/1/69deep-buried chamberfailure modesurrounding rock pressurenumerical simulationupper bound solution |
| spellingShingle | Daobing Zhang Linhai Zeng Zhilin Lv Xiaochuan Yu Chang Liu Anming Jiang Xianyong Jiang Qi Li Yongxiang Yang Failure Mode of Deep-Buried Rectangular Chamber and Upper Bound Solution of Surrounding Rock Pressure Mathematics deep-buried chamber failure mode surrounding rock pressure numerical simulation upper bound solution |
| title | Failure Mode of Deep-Buried Rectangular Chamber and Upper Bound Solution of Surrounding Rock Pressure |
| title_full | Failure Mode of Deep-Buried Rectangular Chamber and Upper Bound Solution of Surrounding Rock Pressure |
| title_fullStr | Failure Mode of Deep-Buried Rectangular Chamber and Upper Bound Solution of Surrounding Rock Pressure |
| title_full_unstemmed | Failure Mode of Deep-Buried Rectangular Chamber and Upper Bound Solution of Surrounding Rock Pressure |
| title_short | Failure Mode of Deep-Buried Rectangular Chamber and Upper Bound Solution of Surrounding Rock Pressure |
| title_sort | failure mode of deep buried rectangular chamber and upper bound solution of surrounding rock pressure |
| topic | deep-buried chamber failure mode surrounding rock pressure numerical simulation upper bound solution |
| url | https://www.mdpi.com/2227-7390/13/1/69 |
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