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<p>This paper uses three-dimensional lower bound finite element limit analysis method (LB-FELA) with Drucker Prager (D-P) criterion to study tunnel face stability. First, by transforming the three-dimensional Drucker Prager criterion into second-order cone programming (SOCP) constraints, the approximate treatment of yield criterion is avoided. Then, the LB-FELA calculation model can be transformed into an efficient SOCP model. Then, a mesh adaptive refinement strategy based on element stress is proposed, which achieves refined simulation of the failure area through smaller scale mesh refinement. Finally, the influence of the series of D-P criteria on&#xa0;shield tunnel face stability is studied through parameter analysis. The differences between D-P criteria and Mohr Coulomb (M-C) criteria have also been explored. The research results indicate that D-P criterion inscribed circle criterion can better evaluate shield&#xa0;tunnel face stability for the series of D-P criteria. The research results can provide theoretical reference for shield&#xa0;tunnel face stability research and engineering practice.</p>

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Three-Dimensional Analysis of Shield Tunnel Face Stability Using Adaptive Lower Bound Finite Element Limit Analysis with the Drucker–Prager Criterion

  • 期刊论文

  • 发表日期：

    2025年12月13日

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  • Rui Sun,
  • Kai Zhang,
  • Haibing Cai

摘要

This paper uses three-dimensional lower bound finite element limit analysis method (LB-FELA) with Drucker Prager (D-P) criterion to study tunnel face stability. First, by transforming the three-dimensional Drucker Prager criterion into second-order cone programming (SOCP) constraints, the approximate treatment of yield criterion is avoided. Then, the LB-FELA calculation model can be transformed into an efficient SOCP model. Then, a mesh adaptive refinement strategy based on element stress is proposed, which achieves refined simulation of the failure area through smaller scale mesh refinement. Finally, the influence of the series of D-P criteria on shield tunnel face stability is studied through parameter analysis. The differences between D-P criteria and Mohr Coulomb (M-C) criteria have also been explored. The research results indicate that D-P criterion inscribed circle criterion can better evaluate shield tunnel face stability for the series of D-P criteria. The research results can provide theoretical reference for shield tunnel face stability research and engineering practice.