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February 21, 2026International Journal for Numerical and Analytical Methods in Geomechanics2 citations

A Simple Approach for Circular Tunnels Excavated in Strain‐Softening and Dilatancy Rock Masses

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XWXiuling WangYXYongli XieJLJinxing Lai

Key Points

  • The research aims to develop a numerical method for assessing circular tunnel stability in strain-softening and dilatant rock masses.
  • Developed a numerical approach integrating strain-softening and dilatancy into the triple-shear-element unified strength criterion.
  • Conducted parametric analysis to understand rock mass responses under different conditions.
  • Evaluated the impact of intermediate principal stress on rock mass stability.
  • Intermediate principal stress enhances rock stability and limits plastic zone growth.
  • Dilatancy significantly influences rock displacements but minimally affects the radius of the plastic zone and radial stresses.
  • Rock displacements increase linearly with changing strain-softening behaviors, indicating a predictable response.

Abstract

ABSTRACT This study proposes a simple numerical approach that incorporates rock strain‐softening (SS) and dilatancy into the triple‐shear‐element unified strength criterion (TS‐USC). A parametric analysis is conducted to elucidate rock mass responses. The results demonstrate that the intermediate principal stress (IPS) enhances rock mass stability and limits plastic zone growth. The TS‐USC should be used with caution for tunnel stability evaluation because it may underestimate rock displacements. Dilatancy behaviors notably affect rock displacements but have minimal influence on plastic zone radius, radial stresses, and tangential stresses. Therefore, the dilatancy model needs to be chosen reasonably to achieve an acceptable accuracy level. Rock displacements at the excavation profile and the plastic zone radius increase approximately linearly under different SS behaviors. SS behaviors mainly affect tangential stresses; however, for a fixed SS behavior (i.e., for a given δ ), radial stresses at softening‐residual interface are minimally affected by supporting force. These factors deserve attentions during stability analysis and support system design.

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Cite This Study

Wang et al. (2026) studied this question.

synapsesocial.com/papers/69994c38873532290d0208f8https://doi.org/10.1002/nag.70278
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