Stress Distribution Around Arbitrarily Shaped Shallow Buried Tunnels in Transversely Isotropic Rock Mass

IF 3.4 2区工程技术 Q2 ENGINEERING, GEOLOGICAL

International Journal for Numerical and Analytical Methods in Geomechanics Pub Date : 2025-01-03 DOI:10.1002/nag.3936

Zhi Yong Ai, Qi Liang, Zi Kun Ye, Ke Xin Hu

引用次数: 0

Abstract

In this paper, the stress solutions around shallow buried tunnels with arbitrary shapes in transversely isotropic rock mass are derived. First, the hybrid penalty function method is employed to derive the mapping function from an arbitrarily shaped tunnel to a unit circle in the complex plane. Then the complex function method and the Schwartz alternating method are used to derive the solution of the studied problem. A MATLAB program is developed on the basis of the presented theory. Thereafter, the finite element results of ABAQUS are compared with those obtained by the presented solutions, which confirms the theoretical and computational accuracy of the proposed approach, and the impacts of transverse isotropy, tunnel depth, and tunnel shape on the surrounding rock stresses are discussed.

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横观各向同性岩体中任意形状浅埋隧道的应力分布

本文推导了横观各向同性岩体中任意形状浅埋隧道的应力解。首先，采用混合罚函数法推导出任意形状隧道到复平面上单位圆的映射函数；然后利用复变函数法和Schwartz交替法推导了问题的解。在此基础上编写了MATLAB程序。然后，将ABAQUS有限元计算结果与所提解的结果进行了比较，验证了所提方法的理论和计算精度，并讨论了横向各向同性、隧道深度和隧道形状对围岩应力的影响。

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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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.