A B-spline material point method for deformation failure mechanism of soft–hard interbedded rock

IF 3.9 2区 工程技术 Q3 ENERGY & FUELS Geomechanics and Geophysics for Geo-Energy and Geo-Resources Pub Date : 2024-08-23 DOI:10.1007/s40948-024-00865-8
Zonghuan Peng, Jianlong Sheng, Zuyang Ye, Qianfeng Yuan, Xincheng Fan
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Abstract

Geological hazards related to soft–hard interbedded rock are frequent in rock engineering. The material point method (MPM) is a mesh-free numerical approach specifically designed for analyzing large deformations. Notably, significant grid-crossing errors frequently arise when material points traverse the underlying grid. To investigate the failure mechanism of soft–hard interbedded rock, an enhanced MPM incorporating B-spline basis functions and Voronoi polygon discretization is developed and subsequently validated through comparisons with uniaxial compression test data and other numerical methods. The numerical results of soft–hard interbedded rock specimens associated with different soft layer dips (SLD) and confining pressures indicate that the SLD has a great effect on compressive strength and crack extension at low confining pressure. Rocks from SLD-30° to SLD-75° correspond to the “sliding failure along discontinuities” failure mode and have lower compressive strength than rocks with other SLD angles. It is also demonstrated that the propagation of cracks leads to a significant alteration in the internal stress state of the rock, and that stress concentrations at the crack tip exacerbate the development of failure surface. Furthermore, the failure mode of soft–hard interbedded rock can be categorized into four types: (1) sliding failure across multiple discontinuities, (2) tensile fracture across multiple discontinuities, (3) sliding failure along discontinuities, (4) tensile-split along discontinuities.

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软硬夹层岩变形破坏机理的 B-样条曲线材料点法
在岩石工程中,与软硬夹层岩石有关的地质灾害屡见不鲜。材料点法(MPM)是一种无网格数值方法,专门用于分析大变形。值得注意的是,当材料点穿越底层网格时,经常会出现明显的网格交叉误差。为了研究软硬夹层岩石的破坏机制,我们开发了一种包含 B-样条曲线基函数和 Voronoi 多边形离散化的增强型 MPM,并通过与单轴压缩试验数据和其他数值方法的比较进行了验证。与不同软弱层倾角(SLD)和约束压力相关的软硬夹层岩石试样的数值结果表明,SLD 对低约束压力下的抗压强度和裂缝扩展有很大影响。SLD-30°至SLD-75°的岩石属于 "沿不连续面滑动破坏 "破坏模式,其抗压强度低于其他SLD角的岩石。研究还证明,裂缝的扩展会导致岩石内部应力状态的显著改变,裂缝尖端的应力集中会加剧破坏面的形成。此外,软硬夹层岩石的破坏模式可分为四种:(1)跨越多个不连续面的滑动破坏;(2)跨越多个不连续面的拉伸断裂;(3)沿不连续面的滑动破坏;(4)沿不连续面的拉伸劈裂。
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来源期刊
Geomechanics and Geophysics for Geo-Energy and Geo-Resources
Geomechanics and Geophysics for Geo-Energy and Geo-Resources Earth and Planetary Sciences-Geophysics
CiteScore
6.40
自引率
16.00%
发文量
163
期刊介绍: This journal offers original research, new developments, and case studies in geomechanics and geophysics, focused on energy and resources in Earth’s subsurface. Covers theory, experimental results, numerical methods, modeling, engineering, technology and more.
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