A Rate‐Dependent Stillinger‐Weber Potential‐Based Discretized Virtual Internal Bond Model for Rock Fracture Simulation Under Different Loading Rates

IF 3.6 2区 工程技术 Q2 ENGINEERING, GEOLOGICAL
Yuezong Yang, Zihan Liu, Yujie Wang
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Abstract

Strain rate has a notable influence on the mechanical properties of rocks. Understanding these properties and how they influence rock deformation and failure under various loading rates is critical for the engineering considerations in tunnel excavation, energy resource extraction, and mining operations. A rate‐dependent Stillinger‐Weber (SW) potential is constructed on the foundation of the trilinear damage potential, considering the strain rate effect on material properties. The developed potential is implanted into the discretized virtual internal bond (DVIB) model for rock fracture simulation at varying loading rates. A number of rock tests were simulated to see how accurately the developed model could simulate rock fracture over a range of strain rates. These rock tests included direct tension, uniaxial compression, three‐point bending, and semi‐circular bending tests. The findings reveal that both tensile and compressive strengths exhibit a linear increase with the logarithmic increase in strain rate. In the uniaxial compression tests, the failure modes transition from single‐plane shear to X‐shaped shear, then to extension, and ultimately to split failure as the strain rate escalates. In the semi‐circular bending tests, the mode I fracture toughness was observed to decrease with an increasing crack inclination angle, whereas the mode II fracture toughness exhibited the trend of increasing first and then decreasing. The rate‐dependent SW‐DVIB model has been demonstrated to accurately simulate the mechanical properties and failure behaviors of rocks across varying strain rates, as corroborated by the congruence between simulated and experimental results.
基于速率依赖Stillinger - Weber势的离散虚拟内键模型在不同加载速率下的岩石断裂模拟
应变速率对岩石力学性能有显著影响。了解这些特性以及它们如何影响岩石在不同加载速率下的变形和破坏,对于隧道开挖、能源开采和采矿作业中的工程考虑至关重要。考虑应变率对材料性能的影响,在三线性损伤势的基础上建立了速率相关的Stillinger - Weber (SW)势。将开发电位植入离散化虚拟内键(DVIB)模型,用于变加载速率下岩石破裂模拟。模拟了许多岩石试验,以了解所开发的模型在一定应变率范围内模拟岩石破裂的准确性。这些岩石试验包括直接拉伸、单轴压缩、三点弯曲和半圆弯曲试验。结果表明,拉伸强度和抗压强度均随应变率的对数增加呈线性增加。在单轴压缩试验中,随着应变速率的增大,试样的破坏模式从单平面剪切到X形剪切,再到扩展,最后到劈裂破坏。在半圆弯曲试验中,ⅰ型断裂韧性随裂纹倾角的增大而减小,ⅱ型断裂韧性则呈现先增大后减小的趋势。速率相关的SW - DVIB模型已经被证明可以准确地模拟岩石在不同应变速率下的力学特性和破坏行为,模拟结果和实验结果之间的一致性得到了证实。
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来源期刊
CiteScore
6.40
自引率
12.50%
发文量
160
审稿时长
9 months
期刊介绍: The journal welcomes manuscripts that substantially contribute to the understanding of the complex mechanical behaviour of geomaterials (soils, rocks, concrete, ice, snow, and powders), through innovative experimental techniques, and/or through the development of novel numerical or hybrid experimental/numerical modelling concepts in geomechanics. Topics of interest include instabilities and localization, interface and surface phenomena, fracture and failure, multi-physics and other time-dependent phenomena, micromechanics and multi-scale methods, and inverse analysis and stochastic methods. Papers related to energy and environmental issues are particularly welcome. The illustration of the proposed methods and techniques to engineering problems is encouraged. However, manuscripts dealing with applications of existing methods, or proposing incremental improvements to existing methods – in particular marginal extensions of existing analytical solutions or numerical methods – will not be considered for review.
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