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Upper Bound Limit Analysis for the Stability of Elliptical Tunnels Based on the Node-Based Smoothed Finite Element Method and Second Order Cone Programming

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Proceedings of the 2022 International Conference on Green Building, Civil Engineering and Smart City (GBCESC 2022)

Part of the book series: Lecture Notes in Civil Engineering ((LNCE,volume 211))

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Abstract

The stability of 2D elliptical tunnels in cohesive-frictional soils are studied by using upper bound approach of limit analysis based on smoothed finite element method (SFEM) and node-based strain smoothing techniques (NS-FEM). According to the upper bound theorem of limit analysis, the stability of tunnels will be expressed as a second order cone programming (SOCP) problem following the Mohr-Coulomb (for 2D) yield criterion and the associated flow rule. This convex programming can be solved in fast and robust way by primal-dual interior point algorithm. In order to analyze the effectiveness of NS-FEM-based upper bound approach for the elliptical tunnel stability, especially to overcome the performance of volumetric locking under incompressible condition, several typical numerical tunnel models are established and analyzed. From the numerical results, failure mechanism of the elliptical tunnels can be revealed without the volumetric locking problem.

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Acknowledgement

The financial contribution of the National Natural Science Foundation of China (No. 52068016), Guangdong provincial Natural Science Foundation of China (No. 2018A030313897), the Science and Technology Program of Guangzhou, China (201707010082) and Research Startup Project of Guilin University of Technology (No. RD2100002541) are gratefully acknowledged.

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Authors and Affiliations

  1. College of Civil Engineering and Architecture, Guilin University of Technology, Guilin, 541004, China

    Feng-Tao Liu & Yan Zhang

  2. School of Earth Sciences and Engineering, Sun Yat-Sen University, Guangzhou, 510275, China

    Xi-Wen Zhou

Authors
  1. Feng-Tao Liu
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  2. Xi-Wen Zhou
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  3. Yan Zhang
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Corresponding author

Correspondence to Yan Zhang .

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Editors and Affiliations

  1. Central South University, Changsha, China

    Wei Guo

  2. Guilin University of Technology, Guilin, China

    Kai Qian

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Liu, FT., Zhou, XW., Zhang, Y. (2023). Upper Bound Limit Analysis for the Stability of Elliptical Tunnels Based on the Node-Based Smoothed Finite Element Method and Second Order Cone Programming. In: Guo, W., Qian, K. (eds) Proceedings of the 2022 International Conference on Green Building, Civil Engineering and Smart City. GBCESC 2022. Lecture Notes in Civil Engineering, vol 211. Springer, Singapore. https://doi.org/10.1007/978-981-19-5217-3_60

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  • DOI: https://doi.org/10.1007/978-981-19-5217-3_60

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-19-5216-6

  • Online ISBN: 978-981-19-5217-3

  • eBook Packages: EngineeringEngineering (R0)

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