利用离散元法对循环加载和卸载真实三轴压缩下大理石的力学和断裂行为进行数值研究

IF 2.8 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Computational Particle Mechanics Pub Date : 2024-04-26 DOI:10.1007/s40571-024-00750-x
Yapeng Li, Qiang Zhang, Binsong Jiang
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引用次数: 0

摘要

深埋岩石承受真实三轴应力状态,并受到反复扰动载荷的影响。采用离散元法研究了大理岩在真实三轴循环加载和卸载下的力学行为和断裂机理。在真实三轴压缩的基础上,建立了具有校准微参数的基于颗粒的大理石模型。对不同应力状态下的真实三轴循环加载和卸载进行了模拟。中间主应力的增加导致了明显的变形各向异性。随着最小主应力的增加,呈现出脆性-韧性转变特征。在不同的应力状态下,随着等效塑性应变的增加,裂纹破坏应力最初增加,随后减小。在渐进破坏过程中,塑性应变增量比呈现出显著的非线性变化。岩石强度在中间主应力的作用下呈现非对称分布,最小主应力对强度有增强作用。随着中间主应力的增大或最小主应力的减小,即在高差应力的作用下,破坏面由倾斜变为与最大主应力方向平行。在渐进破坏过程中,微裂缝数量呈 "S "形增加趋势。在高差应力作用下,平行于中间主应力方向的微裂缝数量不断增加,微裂缝趋势各向异性。
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Numerical investigation on the mechanical and fracture behaviors of marble under cyclic loading and unloading true triaxial compression using discrete element method

The deep-buried rock is subjected to true triaxial stress states and is affected by repeated disturbance loads. The discrete element method was employed to investigate the mechanical behavior and fracture mechanism of marble under true triaxial cyclic loading and unloading. The particle-based marble model with the calibrated microparameters was established based on true triaxial compression. The true triaxial cyclic loading and unloading simulations with different stress states were conducted. The increase in intermediate principal stress results in significant deformation anisotropy. The brittle–ductile transformation characteristics are presented with the increase in minimum principal stress. The crack damage stress initially increases and subsequently decreases with the increase of equivalent plastic strain under different stress states. The plastic strain increments ratios exhibit prominent nonlinear variation during the progressive failure. The rock strength presents the asymmetric distribution by the effect of intermediate principal stress, and the minimum principal stress has an enhancing effect on strength. With the increase in intermediate principal stress or the decrease in minimum principal stress, that is, the effect of high differential stress, the failure plane changes from inclined to parallel to the direction of maximum principal stress. The microcrack numbers present the S-shaped increasing trend during the progressive failure. The increasing number of microcracks parallel to the direction of intermediate principal stress and the anisotropy of microcrack tendency are subjected to high differential stress.

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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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