Dynamic strength of lined tunnel in hard rock medium under cylindrical unloading waves with visco-elastic interface effect

IF 2.2 3区工程技术 Q2 MECHANICS

Archive of Applied Mechanics Pub Date : 2025-01-13 DOI:10.1007/s00419-024-02752-w

Xue-Qian Fang, Xin-Yu Liu, Ya-Wen Xiong

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引用次数: 0

Abstract

In deep rock medium excavation, the unloading waves due to the blasting excavation can bring great damage to the neighboring structures. In this paper, the visco-elastic interface model is introduced to study the dynamic strength around an existing lined tunnel subjected to blasting and unloading waves. Three unloading paths because of tunnel blasting excavation are considered, and the dynamic interface stresses of existing lined tunnel resulting from these unloading paths are derived. To describe the wave fields around the existing tunnel and in the tunnel lining, the wave function expansion method is used, and the elastic and viscosity coefficients of interface is used to describe the interfacial characters. The analytical solutions of displacement and stress fields in the rock mass are obtained. An approximate numerical integration method is introduced to calculate the displacements and stresses around the existing tunnel. In numerical examples, the circumferential stress around the existing tunnel under different interface parameters, unloading paths and geometrical and physical parameters of tunnels is analyzed. Comparison with the existing numerical results validates this model.

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考虑粘弹性界面效应的圆柱卸载波作用下硬岩介质衬砌隧道动强度研究

在深部岩体开挖中，爆破开挖产生的卸荷波会对邻近结构体造成较大的破坏。本文引入粘弹性界面模型，研究既有衬砌隧道在爆破和卸荷波作用下的动强度。考虑了隧道爆破开挖引起的三种卸荷路径，推导了这些卸荷路径对既有衬砌隧道动界面应力的影响。采用波函数展开法描述既有隧道周围和隧道衬砌内的波场，用界面弹性系数和黏度系数描述界面特征。得到了岩体内位移场和应力场的解析解。采用近似数值积分法计算既有隧道周围的位移和应力。通过数值算例，分析了不同界面参数、卸荷路径和隧道几何物理参数下既有隧道的周向应力。与已有数值结果的对比验证了该模型的正确性。

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来源期刊

Archive of Applied Mechanics 物理-力学

CiteScore

4.40

自引率

10.70%

发文量

234

审稿时长

4-8 weeks

期刊介绍： Archive of Applied Mechanics serves as a platform to communicate original research of scholarly value in all branches of theoretical and applied mechanics, i.e., in solid and fluid mechanics, dynamics and vibrations. It focuses on continuum mechanics in general, structural mechanics, biomechanics, micro- and nano-mechanics as well as hydrodynamics. In particular, the following topics are emphasised: thermodynamics of materials, material modeling, multi-physics, mechanical properties of materials, homogenisation, phase transitions, fracture and damage mechanics, vibration, wave propagation experimental mechanics as well as machine learning techniques in the context of applied mechanics.