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Volume 13
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Article

Failure Mode of Deep-Buried Rectangular Chamber and Upper Bound Solution of Surrounding Rock Pressure

by
Daobing Zhang
1,2,
Linhai Zeng
1,2,*,
Zhilin Lv
3,
Xiaochuan Yu
3,
Chang Liu
3,
Anming Jiang
2,
Xianyong Jiang
2,
Qi Li
2 and
Yongxiang Yang
2
1
Sanya Institute of Hunan University of Science and Technology, Sanya 572024, China
2
School of Resource Environment and Safety Engineering, Hunan University of Science and Technology, Xiangtan 411201, China
3
China Gezhouba Group Road & Bridge Co., Ltd., Yichang 443002, China
*
Author to whom correspondence should be addressed.
Mathematics 2025, 13(1), 69; https://doi.org/10.3390/math13010069
Submission received: 11 November 2024 / Revised: 24 December 2024 / Accepted: 25 December 2024 / Published: 28 December 2024
(This article belongs to the Special Issue Multiscale Modeling in Engineering and Mechanics: From Microscopic to Macroscopic Mechanical Modeling)
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Abstract

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 q and e increases linearly with the increase in rock gravity γ and chamber size, and decreases with the increase in cohesion c and internal friction angle φ. The surrounding rock pressure q decreases with the increase in lateral pressure coefficient K, while surrounding rock pressure e increases with the increase in lateral pressure coefficient K.
Keywords: deep-buried chamber; failure mode; surrounding rock pressure; numerical simulation; upper bound solution deep-buried chamber; failure mode; surrounding rock pressure; numerical simulation; upper bound solution

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MDPI and ACS Style

Zhang, D.; Zeng, L.; Lv, Z.; Yu, X.; Liu, C.; Jiang, A.; Jiang, X.; Li, Q.; Yang, Y. Failure Mode of Deep-Buried Rectangular Chamber and Upper Bound Solution of Surrounding Rock Pressure. Mathematics 2025, 13, 69. https://doi.org/10.3390/math13010069

AMA Style

Zhang D, Zeng L, Lv Z, Yu X, Liu C, Jiang A, Jiang X, Li Q, Yang Y. Failure Mode of Deep-Buried Rectangular Chamber and Upper Bound Solution of Surrounding Rock Pressure. Mathematics. 2025; 13(1):69. https://doi.org/10.3390/math13010069

Chicago/Turabian Style

Zhang, Daobing, Linhai Zeng, Zhilin Lv, Xiaochuan Yu, Chang Liu, Anming Jiang, Xianyong Jiang, Qi Li, and Yongxiang Yang. 2025. "Failure Mode of Deep-Buried Rectangular Chamber and Upper Bound Solution of Surrounding Rock Pressure" Mathematics 13, no. 1: 69. https://doi.org/10.3390/math13010069

APA Style

Zhang, D., Zeng, L., Lv, Z., Yu, X., Liu, C., Jiang, A., Jiang, X., Li, Q., & Yang, Y. (2025). Failure Mode of Deep-Buried Rectangular Chamber and Upper Bound Solution of Surrounding Rock Pressure. Mathematics, 13(1), 69. https://doi.org/10.3390/math13010069

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