Numerical and experimental investigations of grain size and temperature effects on the crack propagation velocity in brittle rocks

IF 3.4 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
Hooman Rezaee, Majid Noorian-Bidgoli
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引用次数: 0

Abstract

Understanding the behavior of rock failure under the influence of grain size and temperature is a critical topic in rock mechanics due to its complexity and significance. The impact of these factors, particularly on crack initiation and propagation processes, is a complex and multifaceted issue that has been the focus of engineering rock studies. These effects are especially noticeable when temperature changes drastically, such as deep mining projects or construction in high-temperature regions. Based upon the distinct element method (DEM), this study used the particle flow code (PFC) to numerically simulate the rock fracture process under three-point loading on semi-circular bending (SCB) specimens. A total of 96 fracture toughness tests were simulated on samples with grain sizes of 0.5, 0.75, 1, and 1.5 mm at temperatures ranging from 25 to 700 °C and under mode I, mode II, and mixed-mode fracture loading conditions. The numerical models were validated against uniaxial compressive strength and Brazilian tensile strength test results. This study uniquely examines how temperature and grain size affect crack propagation velocity across different loading conditions. The findings showed that, as temperature increases, microcracks lead to thermal expansion in the samples, and the crack propagation velocity also increases. Additionally, there is an inverse relationship between grain size and crack propagation velocity. Notably, the results showed that the effects of grain size and temperature on crack propagation velocity vary across different fracture modes.

晶粒尺寸和温度对脆性岩石裂纹扩展速度影响的数值与实验研究
由于岩石力学的复杂性和重要性,了解岩石在粒度和温度影响下的破坏行为是岩石力学中的一个关键课题。这些因素的影响,特别是对裂纹萌生和扩展过程的影响,是一个复杂而多方面的问题,一直是工程岩石研究的焦点。当温度急剧变化时,这些影响尤其明显,例如在高温地区进行深部采矿项目或施工。基于离散元法(DEM),采用颗粒流程序(PFC)对三点加载下半圆弯曲(SCB)试样的岩石破裂过程进行数值模拟。在温度范围为25 ~ 700℃,I、II和混合模式断裂加载条件下,对0.5、0.75、1和1.5 mm晶粒尺寸的试样进行了96次断裂韧性模拟试验。数值模型与单轴抗压强度和巴西抗拉强度试验结果进行了验证。该研究独特地考察了温度和晶粒尺寸如何影响不同加载条件下的裂纹扩展速度。结果表明:随着温度的升高,微裂纹在试样中引起热膨胀,裂纹扩展速度增大;此外,晶粒尺寸与裂纹扩展速度呈反比关系。值得注意的是,在不同的断裂模式下,晶粒尺寸和温度对裂纹扩展速度的影响有所不同。
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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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