Van‐Vi Pham, Ngoc‐Anh Do, Piotr Osinski, Hoang‐Giang Bui, Daniel Dias
{"title":"New Hyperstatic Reaction Method for Design of Subrectangular Tunnel Under Quasi‐Static Loading in Full‐Slip Condition","authors":"Van‐Vi Pham, Ngoc‐Anh Do, Piotr Osinski, Hoang‐Giang Bui, Daniel Dias","doi":"10.1002/nag.3973","DOIUrl":null,"url":null,"abstract":"In seismic tunnel lining design, most existing studies have focused on circular and box‐type tunnels, while the response of subrectangular tunnel linings under seismic loading, especially in imperfect soil‐lining conditions, remains underexplored. The present paper aims to address this gap by investigating the behavior of subrectangular tunnel lining subjected to seismic loadings in full‐slip condition using a novel calculation approach based on the hyperstatic reaction method (HRM). The innovation of this study is the introduction of a new quasi‐static loading scheme to characterize the soil‐lining interaction for subrectangular tunnels. New relationships between loading parameters, soil Young's modulus, tunnel lining thickness, tunnel dimension, and maximum horizontal acceleration are established through the back analysis of HRM and finite difference method (FDM) calculations. These relationships are then verified by considering different input parameters affecting subrectangular tunnel behavior under full‐slip conditions. Numerical results indicate that the maximum incremental internal forces computed by the new HRM model are in excellent agreement with those from FDM. Meanwhile, the computational efficiency of HRM is far better than FDM due to 1D meshing and simpler boundary conditions. Therefore, the new HRM model offers an effective alternative to FDM for the preliminary design of the subrectangular tunnels subjected to seismic loading in full‐slip conditions.","PeriodicalId":13786,"journal":{"name":"International Journal for Numerical and Analytical Methods in Geomechanics","volume":"17 1","pages":""},"PeriodicalIF":3.4000,"publicationDate":"2025-03-28","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://doi.org/10.1002/nag.3973","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
In seismic tunnel lining design, most existing studies have focused on circular and box‐type tunnels, while the response of subrectangular tunnel linings under seismic loading, especially in imperfect soil‐lining conditions, remains underexplored. The present paper aims to address this gap by investigating the behavior of subrectangular tunnel lining subjected to seismic loadings in full‐slip condition using a novel calculation approach based on the hyperstatic reaction method (HRM). The innovation of this study is the introduction of a new quasi‐static loading scheme to characterize the soil‐lining interaction for subrectangular tunnels. New relationships between loading parameters, soil Young's modulus, tunnel lining thickness, tunnel dimension, and maximum horizontal acceleration are established through the back analysis of HRM and finite difference method (FDM) calculations. These relationships are then verified by considering different input parameters affecting subrectangular tunnel behavior under full‐slip conditions. Numerical results indicate that the maximum incremental internal forces computed by the new HRM model are in excellent agreement with those from FDM. Meanwhile, the computational efficiency of HRM is far better than FDM due to 1D meshing and simpler boundary conditions. Therefore, the new HRM model offers an effective alternative to FDM for the preliminary design of the subrectangular tunnels subjected to seismic loading in full‐slip conditions.
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.