New Hyperstatic Reaction Method for Design of Subrectangular Tunnel Under Quasi‐Static Loading in Full‐Slip Condition

IF 3.4 2区 工程技术 Q2 ENGINEERING, GEOLOGICAL
Van‐Vi Pham, Ngoc‐Anh Do, Piotr Osinski, Hoang‐Giang Bui, Daniel Dias
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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.
准静力荷载下全滑移亚矩形隧道超静反力设计新方法
在地震隧道衬砌设计中,大多数现有的研究都集中在圆形和箱形隧道上,而亚矩形隧道衬砌在地震荷载下的响应,特别是在不完善的土衬砌条件下,仍然没有得到充分的研究。本文旨在通过使用一种基于超静力反应法(HRM)的新型计算方法研究全滑移条件下亚矩形隧道衬砌在地震荷载作用下的行为来解决这一空白。本研究的创新之处在于引入了一种新的准静态加载方案来表征亚矩形隧道的土-衬砌相互作用。通过HRM反分析和有限差分法(FDM)计算,建立了加载参数、土体杨氏模量、隧道衬砌厚度、隧道尺寸与最大水平加速度之间的新关系。然后通过考虑在全滑移条件下影响亚矩形隧道行为的不同输入参数来验证这些关系。数值结果表明,新人力资源管理模型计算的最大增量内力与FDM模型计算的最大增量内力具有较好的一致性。同时,由于一维网格划分和更简单的边界条件,HRM的计算效率远远优于FDM。因此,新的HRM模型为全滑移条件下受地震荷载影响的亚矩形隧道的初步设计提供了一种有效的替代FDM的方法。
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来源期刊
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.
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