全滑移接触条件下浅埋衬砌隧道半解析解

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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引用次数: 0

摘要

本文提出了一种基于复变法的浅埋衬砌隧道全滑移接触条件下应力和位移的半解析方法，即沿围岩/土体与衬砌界面，径向应力和径向位移连续，剪应力等于零。在该方案中，考虑了围岩/土体与衬砌之间的相互作用以及岩体/土体的自重。本文提出了基于边界条件和连续性条件的方程。将解析解与ANSYS软件计算得到的应力和位移进行比较，结果表明两种解吻合较好。此外，结果还满足应力边界条件、应力连续条件和位移连续条件。通过参数化研究，探讨了关键参数对杨氏模量和埋深的影响。最后，比较了两种极端边界接触条件（全滑移和无滑移）的结果，讨论了衬砌的影响以及两种边界接触条件之间的差异。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

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.