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基于应力波传播的含顺层结构面岩质边坡动态滑动机制理论分析

Theoretical analysis of dynamic sliding mechanism of rock slope with a bedding structural plane based on stress wave propagation.

作者信息

Chai Shaobo, Song Boyang, Liu Jinhao, Liu Kai, Liu Xinyuan, Shi Jiehui

机构信息

School of Civil Engineering, Chang'an University, Xi'an, 710064, China.

Department of Engineering Science, University of Oxford, Parks Road, Oxford, OX1 3PJ, UK.

出版信息

Sci Rep. 2025 Feb 28;15(1):7112. doi: 10.1038/s41598-024-72966-z.

Abstract

The stress at the structural plane of bedding rock slope will change under dynamic load, which may lead to sliding failure risk of the slope. Based on the time-domain recursive method (TDRM), the propagation process of stress waves in viscoelastic rock slope with a nonlinear bedding plane is analyzed, and the propagation equation of multiple reflected waves between the plane and the slope surface is obtained. According to the superposition principle and the relation between the particle vibration velocity caused by stress waves and stress, the expressions of normal and tangential stress of any particle at the structural plane are obtained. Furthermore, in light of the gravitational impact on the rock mass, we formulate the slip criterion equation for the structural plane. The results indicate that the stress field at the structural plane is influenced by several factors, including the slope angle, horizontal positioning of monitoring points, vertical distance to the slope foot, and the initial stiffness of the structural plane. The influence of multiple reflected waves on stress field obviously increases the possibility of rock mass sliding on structural plane. This paper theoretically elucidates the slippage mechanism of a rock slope featuring a bedding structural plane subjected to the effects of stress wave. The research findings furnish a theoretical foundation for comprehending the dynamic response of rock slopes, conducting dynamic stability analyses, and ensuring the safety measures for rock mass engineering projects.

摘要

层状岩石边坡结构面处的应力在动荷载作用下会发生变化,这可能导致边坡出现滑动破坏风险。基于时域递归方法(TDRM),分析了具有非线性结构面的粘弹性岩石边坡中应力波的传播过程,得到了结构面与坡面之间多次反射波的传播方程。根据叠加原理以及应力波引起的质点振动速度与应力的关系,得出了结构面处任意质点的法向应力和切向应力表达式。此外,考虑到岩体的重力影响,建立了结构面的滑动判据方程。结果表明,结构面处的应力场受多种因素影响,包括边坡角度、监测点的水平位置、距坡脚的垂直距离以及结构面的初始刚度。多次反射波对应力场的影响明显增加了岩体在结构面上滑动的可能性。本文从理论上阐明了受应力波作用的具有层状结构面的岩石边坡的滑动机制。研究结果为理解岩石边坡的动力响应、进行动力稳定性分析以及确保岩体工程项目的安全措施提供了理论基础。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/67c2/11868500/7a4ef7fa8082/41598_2024_72966_Fig1_HTML.jpg

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