Semi‐analytical Solution of a Shallow Buried Lined Tunnel Under Full‐Slip Contact Condition

IF 3.4 2区工程技术 Q2 ENGINEERING, GEOLOGICAL International Journal for Numerical and Analytical Methods in Geomechanics Pub Date : 2025-03-19 DOI:10.1002/nag.3970

Hui Cai, Hongliang Liu, Xin Gao, Xinbo Jiang, Wenfeng Tu

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Abstract

This paper presents a semi‐analytical method for the stress and displacement of a shallow buried lined tunnel based on the complex variable method under the full‐slip contact condition, that is, along the interface between the surrounding rock/soil mass and lining, the radial stresses and radial displacements are continuous, and the shear stresses are equal to zero. In the presented solution, the interaction between the surrounding rock/soil mass and lining, as well as the self‐weight of rock/soil mass are considered. The equations based on the boundary conditions and continuity conditions are put forward in this paper. A comparison of the stresses and displacements obtained by the analytical solution and ANSYS software shows a good agreement between the two solutions. In addition, the results also satisfied the stress boundary condition, stress continuity condition, and displacement continuity condition. A parametric study was conducted to investigate the influence of the key parameters on Young's modulus and buried depth. Finally, the results of two extreme boundary contact conditions cases, full‐slip and no‐slip contact conditions, were compared with each other to discuss the effect of the lining and the difference between the two boundary contact conditions.

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来源期刊

International Journal for Numerical and Analytical Methods in Geomechanics 工程技术-材料科学：综合

CiteScore

6.40

自引率

12.50%

发文量

160

审稿时长

9 months

期刊介绍： The journal welcomes manuscripts that substantially contribute to the understanding of the complex mechanical behaviour of geomaterials (soils, rocks, concrete, ice, snow, and powders), through innovative experimental techniques, and/or through the development of novel numerical or hybrid experimental/numerical modelling concepts in geomechanics. Topics of interest include instabilities and localization, interface and surface phenomena, fracture and failure, multi-physics and other time-dependent phenomena, micromechanics and multi-scale methods, and inverse analysis and stochastic methods. Papers related to energy and environmental issues are particularly welcome. The illustration of the proposed methods and techniques to engineering problems is encouraged. However, manuscripts dealing with applications of existing methods, or proposing incremental improvements to existing methods – in particular marginal extensions of existing analytical solutions or numerical methods – will not be considered for review.