Mechanical characteristics and crack propagation mechanism in rectangular and trapezoidal specimens of excavated pillars with various cavities: experimental and numerical investigations

IF 2.8 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
Vahab Sarfarazi, Jinwei Fu, Hadi Haeri, Soheil Abharian, Haleh Rasekh, Masoud Behzadinasab, Mohammad Fatehi Marji
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Abstract

In this research, the breakage behavior of rock pillars under the uniaxial compressive strength test is investigated using both experimental and three-dimensional discrete element methods. Gypsum samples with rectangular and hourglass hexagonal shapes are constructed to simulate underground mine pillars. Within the samples, various settings of created holes in different angles, numbers, and shape patterns are considered to design a total of 20 configurations for the failure test. Twelve layouts included horizontal rows of 5 holes (1, 2, or 3 rows) at different angles (0°, 30°, 60°, and 90°). The hole patterns in the other 8 arrangements involved some usual geometric shapes including vertical ellipse, vertical rectangle, triangle, horizontal ellipse, horizontal rectangle, diamond, trapezoid, and square. For the experimental tests, 60 specimens are prepared (3 samples for each configuration to increase reliability). For the PFC3D simulations, 20 models with similar setups are prepared to replicate the experiments. The loading rate was set to 0.016 m/s. Our results show that the hole parameters, i.e., angles, numbers, and shape configurations, are the key factors in the failure process. Our analysis helps reveal a correlation between the breakage pattern, the breakage mechanism of discontinuities, and the maximum applied force of the specimens. Increasing the hole angles and numbers add to the total crack number (TCN). The minimum load-carrying capacity of the samples is recorded for the sample with 15 holes at 30° and 60° angles.

Abstract Image

带有各种空腔的开挖支柱矩形和梯形试样的力学特征和裂纹扩展机制:实验和数值研究
本研究采用实验法和三维离散元法研究了岩柱在单轴抗压强度试验下的破损行为。研究人员制作了长方形和沙漏六边形的石膏样品,以模拟地下矿柱。在样品中,考虑了不同角度、数量和形状模式的孔洞设置,共设计了 20 种失效试验配置。其中 12 种布局包括不同角度(0°、30°、60° 和 90°)的 5 排水平孔(1、2 或 3 排)。其他 8 种布置的孔型涉及一些常见的几何形状,包括垂直椭圆、垂直矩形、三角形、水平椭圆、水平矩形、菱形、梯形和正方形。在实验测试中,共准备了 60 个试样(为提高可靠性,每个构型准备 3 个试样)。在 PFC3D 模拟中,准备了 20 个具有类似设置的模型来复制实验。加载速率设定为 0.016 m/s。我们的结果表明,孔参数(即角度、数量和形状配置)是失效过程中的关键因素。我们的分析有助于揭示断裂模式、不连续面的断裂机制和试样的最大作用力之间的相关性。增加孔的角度和数量会增加总裂纹数(TCN)。在 30° 和 60° 角上有 15 个孔的试样记录了试样的最小承载能力。
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来源期刊
Computational Particle Mechanics
Computational Particle Mechanics Mathematics-Computational Mathematics
CiteScore
5.70
自引率
9.10%
发文量
75
期刊介绍: GENERAL OBJECTIVES: Computational Particle Mechanics (CPM) is a quarterly journal with the goal of publishing full-length original articles addressing the modeling and simulation of systems involving particles and particle methods. The goal is to enhance communication among researchers in the applied sciences who use "particles'''' in one form or another in their research. SPECIFIC OBJECTIVES: Particle-based materials and numerical methods have become wide-spread in the natural and applied sciences, engineering, biology. The term "particle methods/mechanics'''' has now come to imply several different things to researchers in the 21st century, including: (a) Particles as a physical unit in granular media, particulate flows, plasmas, swarms, etc., (b) Particles representing material phases in continua at the meso-, micro-and nano-scale and (c) Particles as a discretization unit in continua and discontinua in numerical methods such as Discrete Element Methods (DEM), Particle Finite Element Methods (PFEM), Molecular Dynamics (MD), and Smoothed Particle Hydrodynamics (SPH), to name a few.
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