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Open Access Research Article

Elastic–plastic solutions of reserved deformation for soft rock circular tunnel under high stress

by longyu luo 1,*
1
College of Water Conservancy and Hydropower Engineering, Hohai University, Nanjing 210098, China
*
Author to whom correspondence should be addressed.
RML  2025 2(1):6; https://doi.org/10.70425/rml.202501.6
Received: 13 September 2024 / Accepted: 15 October 2024 / Published Online: 17 October 2024
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Abstract

The determination of reserved deformation is typically based on referring to relevant codes or the engineering analogy method, lacking a certain theoretical approach. The purpose of this study is to provide a theoretical basis for determining reserved deformation and to analyze the variation law of the surrounding rock affected by reserved deformation. Considering the reserved deformation under the condition of asymmetric load, the expression of optimal reserved deformation, the expression of support resistance reflecting the strength of surrounding rock, the strength of support material and the magnitude of in situ stress, the displacement expression of surrounding rock are derived by approximate solution based on the classical elastic–plastic theory. Numerical simulation software is used to simulate the displacement expression of the surrounding rock considering the reserved deformation and the expression of the optimum reserved deformation under the condition of asymmetric load. The results of the numerical simulation were compared with those of the analytical solutions, and the analytical results show that the errors between the two are within 12% and that the consistency is good.

Keywords: Reserved deformation; Circular cavity; Elasto-plastic solution;
Copyright: © 2024 by luo. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY) (Creative Commons Attribution 4.0 International License). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.
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ACS Style
luo, l. Elastic–plastic solutions of reserved deformation for soft rock circular tunnel under high stress. Rock Mechanics Letters, 2025, 2, 6. doi:10.70425/rml.202501.6
AMA Style
luo l. Elastic–plastic solutions of reserved deformation for soft rock circular tunnel under high stress. Rock Mechanics Letters; 2025, 2(1):6. doi:10.70425/rml.202501.6
Chicago/Turabian Style
luo, longyu 2025. "Elastic–plastic solutions of reserved deformation for soft rock circular tunnel under high stress" Rock Mechanics Letters 2, no.1:6. doi:10.70425/rml.202501.6
APA Style
luo, l. (2025). Elastic–plastic solutions of reserved deformation for soft rock circular tunnel under high stress. Rock Mechanics Letters, 2(1), 6. doi:10.70425/rml.202501.6

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