Analytical study on additional stress field of double shield TBM tunneling based on Mindlin theory

IF 4.4 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Applied Mathematical Modelling Pub Date : 2025-01-27 DOI:10.1016/j.apm.2025.115980

Xudong Cheng , Yanxiang Guo , Xingji Zhu , Wenxuan Li , Wenjun Hu , Longjun Xu , Lili Xie

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引用次数: 0

Abstract

Tunnel Boring Machine (TBM) tunneling generates construction loads accompanied by unloading effect, forming additional stress field. In the previous analytical study based on classic Mindlin theory, only the additional normal stress is considered, and the additional shear stress is generally ignored. In particular, the additional stress caused by the construction loads and unloading effect of the double shield TBM (DS-TBM) is still not clear. In this paper, the application range of Mindlin theory was extended from concentrated load in vertical or horizontal direction to load in any form and direction by integration transformation and coordinate transformation. Then, combined with the accurate description of construction loads and unloading effect, an analytical solution method was proposed to obtain the additional stress field including shear and normal stress caused by the DS-TBM tunneling. The results show that the principal additional shear stress has a significant contribution to the additional stress field; the influence of unloading force on the additional stress field has cumulative effects. This work can provide a reliable and rapid evaluation method for the safe application of DS-TBM tunneling.

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来源期刊

Applied Mathematical Modelling 数学-工程：综合

CiteScore

9.80

自引率

8.00%

发文量

508

审稿时长

43 days

期刊介绍： Applied Mathematical Modelling focuses on research related to the mathematical modelling of engineering and environmental processes, manufacturing, and industrial systems. A significant emerging area of research activity involves multiphysics processes, and contributions in this area are particularly encouraged. This influential publication covers a wide spectrum of subjects including heat transfer, fluid mechanics, CFD, and transport phenomena; solid mechanics and mechanics of metals; electromagnets and MHD; reliability modelling and system optimization; finite volume, finite element, and boundary element procedures; modelling of inventory, industrial, manufacturing and logistics systems for viable decision making; civil engineering systems and structures; mineral and energy resources; relevant software engineering issues associated with CAD and CAE; and materials and metallurgical engineering. Applied Mathematical Modelling is primarily interested in papers developing increased insights into real-world problems through novel mathematical modelling, novel applications or a combination of these. Papers employing existing numerical techniques must demonstrate sufficient novelty in the solution of practical problems. Papers on fuzzy logic in decision-making or purely financial mathematics are normally not considered. Research on fractional differential equations, bifurcation, and numerical methods needs to include practical examples. Population dynamics must solve realistic scenarios. Papers in the area of logistics and business modelling should demonstrate meaningful managerial insight. Submissions with no real-world application will not be considered.