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Determination of Safety Factor for Rock Mass Surrounding Tunnel by Sudden Change of Equivalent Plastic Strain in Strength Reduction Method

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Abstract

The safety factor of rock mass surrounding tunnel can be determined using the strength reduction method (SRM), furthermore, it is very important to solve the criterion of critical state. For the stability estimation of rock mass surrounding tunnel, there is need to discuss that it is preferable to use the same criteria for the slope stability, such as non-convergence of finite element calculation, penetration of plastic strain and sudden change of horizontal displacement. The safety factor can be determined by sudden change of equivalent plastic strain in relationship between a reduction coefficient of strength parameter and equivalent plastic strain. This method is based on the elasto-plastic finite element method (FEM) and the SRM by ABAQUS and Mohr–Coulomb yield criterion. Simulation results using this method show how a safety factor varies with geometries, friction angles and cohesions for circle and square tunnels. Simulation results also show the safety factor varying with quality change of rock mass, pore water pressure and tunnel depth.

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Data availability

The data used to support the findings of this study are available from the corresponding author upon request.

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ABAQUS.

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Acknowledgements

This study was financially supported by National Science and Technical Development Foundation of D.P.R. Korea (Grant No. 24-2019-730216). Also, the research reported in this paper is sponsored by the Academy of Science of the D.P.R. Korea and the Design Research Institute of Electrical Power of Pyongyang. The financial support given by these sponsors is greatly appreciated. The authors are grateful to acknowledge for many helps and advices of all persons for this research project, and also thank for the trouble editors and reviewers have taken.

Funding

This study was financially supported by the National Science and Technical Development Foundation of D.P.R. Korea (Grant No. 24–2019-730216).

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DYJ Conceived and designed the analysis, Performed the analysis, Wrote and revise the paper. UCH Conceived and designed the analysis, Collected the data, Wrote and revise the paper. JUJ Collected the data, Contributed data or analysis tools. YNR Conceived and designed the analysis, Collected the data, Wrote the paper.

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Correspondence to Un Chol Han.

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The authors wish to confirm that there are no known conflicts of interest associated with this publication, and there has been no significant financial support for this work that could have influenced its outcome.

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Jong, D.Y., Han, U.C., Jang, U.J. et al. Determination of Safety Factor for Rock Mass Surrounding Tunnel by Sudden Change of Equivalent Plastic Strain in Strength Reduction Method. Geotech Geol Eng 40, 3493–3509 (2022). https://doi.org/10.1007/s10706-022-02103-y

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  • DOI: https://doi.org/10.1007/s10706-022-02103-y

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