Influence of intermediate principal stress and rolling resistance on the shearing response of sand: a micromechanical investigation

IF 2.8 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Computational Particle Mechanics Pub Date : 2024-06-24 DOI:10.1007/s40571-024-00782-3
S. V. Dharani Raj, Mousumi Mukherjee, Andres Alfonso Peña-Olarte, Roberto Cudmani
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Abstract

Existing literature on true triaxial and torsional shear tests indicate that the mechanical response of a granular assembly is significantly influenced by the magnitude of the intermediate principal stress ratio. The present study aims to explore the mechanism behind such effects in reference to the particle-level interaction using 3D DEM simulations. In this regard, true triaxial numerical simulations have been carried out with constant minor principal stress and varying \(b\) values employing rolling resistance-type contact model to mimic particle shape. The numerical simulations have been validated against the true triaxial experiments reported in the literature for dense Santa Monica beach sand. The macro-level shearing response of the granular assembly has been examined in terms of the evolution of stress ratio and volumetric strain for different rolling resistance coefficients. Further, such macro-level response has been assessed in reference to the micro-scale attributes, e.g. average contact force, number of interparticle contacts, mechanical coordination number, contact normal orientation, and fabric tensor as well as meso-scale attribute like strong contact force network. Lade’s failure surface has been adopted to represent the stress and fabric at peak state in the octahedral plane, and mathematical expressions have been proposed relating the failure surface parameters to the rolling resistance coefficient.

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中间主应力和滚动阻力对沙子剪切响应的影响:微机械研究
有关真实三轴和扭剪试验的现有文献表明,颗粒组件的机械响应受到中间主应力比大小的显著影响。本研究旨在利用三维 DEM 模拟,参照颗粒级相互作用,探索这种影响背后的机制。为此,采用滚动阻力型接触模型来模拟颗粒形状,在次主应力恒定、(b())值变化的情况下进行了真正的三轴数值模拟。数值模拟结果与文献中报道的针对致密圣莫尼卡海滩砂的真实三轴实验结果进行了验证。通过不同滚动阻力系数下应力比和体积应变的演变,研究了颗粒组件的宏观剪切响应。此外,还参考了微观尺度属性(如平均接触力、颗粒间接触数量、机械配合数、接触法线方向和织物张量)以及中观尺度属性(如强接触力网络),对这种宏观响应进行了评估。采用拉德失效面来表示八面体峰值状态下的应力和织物,并提出了失效面参数与滚动阻力系数之间的数学表达式。
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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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