{"title":"Stress and Displacement Fields of Elliptical Tunnels in Fractional Order Viscoelastic Transversely Isotropic Medium","authors":"Zhi Yong Ai, Yi Xuan Pan, Zi Kun Ye, Da Shan Wang","doi":"10.1002/nag.70049","DOIUrl":null,"url":null,"abstract":"<div>\n \n <p>This paper presents the fractional viscoelastic solutions of transversely isotropic surrounding rock for deeply buried elliptical tunnels by using the Fourier series fitting, complex function method, and conformal transformation technique. The elastic–viscoelastic correspondence principle and the Laplace transformation technique are introduced to derive the solutions, and the accuracy of the theory in this paper is verified by comparing with that in existing literature. Numerical examples are designed to analyze the accuracy of the series fitting terms, the influence of the transversely isotropic parameters, the shape of the tunnel, and the lateral pressure coefficient on the mechanical response of the surrounding rock of the deeply-buried tunnel, providing useful suggestions for the practice of tunnel engineering.</p>\n </div>","PeriodicalId":13786,"journal":{"name":"International Journal for Numerical and Analytical Methods in Geomechanics","volume":"49 16","pages":"3917-3930"},"PeriodicalIF":3.6000,"publicationDate":"2025-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal for Numerical and Analytical Methods in Geomechanics","FirstCategoryId":"5","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1002/nag.70049","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ENGINEERING, GEOLOGICAL","Score":null,"Total":0}
引用次数: 0
Abstract
This paper presents the fractional viscoelastic solutions of transversely isotropic surrounding rock for deeply buried elliptical tunnels by using the Fourier series fitting, complex function method, and conformal transformation technique. The elastic–viscoelastic correspondence principle and the Laplace transformation technique are introduced to derive the solutions, and the accuracy of the theory in this paper is verified by comparing with that in existing literature. Numerical examples are designed to analyze the accuracy of the series fitting terms, the influence of the transversely isotropic parameters, the shape of the tunnel, and the lateral pressure coefficient on the mechanical response of the surrounding rock of the deeply-buried tunnel, providing useful suggestions for the practice of tunnel engineering.
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.
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