{"title":"多分散粒状材料的多尺度力学:从微观尺度和波传播实验到 DEM 分析","authors":"Nallala S. C. Reddy, Huan He, Kostas Senetakis","doi":"10.1002/nag.3798","DOIUrl":null,"url":null,"abstract":"<p>This paper presents a multiscale experimental study integrated with numerical simulations examining the mechanics of polydisperse granular mixtures composed of coarse-grained particles mixed with varying percentages of fines. The study includes macroscale wave propagation tests using bender elements on isotopically compressed granular samples to investigate the stiffness variation with changes in size ratio (SR) and fines content (FC). Empirical equations were developed to predict stiffness based on the experimental data, using the concept of equivalent void ratio to represent the influence of void ratio on stiffness. A newly introduced parameter called size disparity indicator was used to consider the coupled effects of size disparity and fines content on stiffness. Microscale assessment of the individual contacting grains revealed that stiffness (at grain scale) is affected by changes in grain size, even when the SR is less than 6, however, the experimental observations of the shear modulus behavior from the macroscale test results reveal minimal effect of FC. Furthermore, numerical simulations using the discrete element method were conducted on the polydisperse granular mixtures to demonstrate the coupled effect of SR and FC on the structural matrix formation, thereby influencing the force transfer among contacts resulting in varying stiffness behavior. Our findings provide valuable insights into the behavior of polydisperse granular mixtures in engineering applications.</p>","PeriodicalId":13786,"journal":{"name":"International Journal for Numerical and Analytical Methods in Geomechanics","volume":null,"pages":null},"PeriodicalIF":3.4000,"publicationDate":"2024-07-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Multi-scale mechanics of polydisperse granular materials: From micro-scale and wave propagation experiments to DEM analysis\",\"authors\":\"Nallala S. C. Reddy, Huan He, Kostas Senetakis\",\"doi\":\"10.1002/nag.3798\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>This paper presents a multiscale experimental study integrated with numerical simulations examining the mechanics of polydisperse granular mixtures composed of coarse-grained particles mixed with varying percentages of fines. The study includes macroscale wave propagation tests using bender elements on isotopically compressed granular samples to investigate the stiffness variation with changes in size ratio (SR) and fines content (FC). Empirical equations were developed to predict stiffness based on the experimental data, using the concept of equivalent void ratio to represent the influence of void ratio on stiffness. A newly introduced parameter called size disparity indicator was used to consider the coupled effects of size disparity and fines content on stiffness. Microscale assessment of the individual contacting grains revealed that stiffness (at grain scale) is affected by changes in grain size, even when the SR is less than 6, however, the experimental observations of the shear modulus behavior from the macroscale test results reveal minimal effect of FC. 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引用次数: 0
摘要
本文介绍了一项结合数值模拟的多尺度实验研究,研究了由粗颗粒与不同比例的细颗粒混合而成的多分散颗粒混合物的力学特性。该研究包括使用弯管元件对同位素压缩颗粒样本进行宏观波传播试验,以研究刚度随粒度比 (SR) 和细粒含量 (FC) 变化而变化的情况。利用等效空隙率的概念来表示空隙率对刚度的影响,并根据实验数据建立了经验方程来预测刚度。新引入的参数 "粒度差异指标 "用于考虑粒度差异和细粒含量对刚度的耦合影响。对单个接触晶粒的微观评估表明,即使 SR 小于 6,刚度(在晶粒尺度上)也会受到晶粒尺寸变化的影响,然而,从宏观测试结果中对剪切模量行为的实验观察表明,FC 的影响微乎其微。此外,我们还使用离散元素法对多分散颗粒混合物进行了数值模拟,以证明 SR 和 FC 对结构基质形成的耦合效应,从而影响接触间的力传递,导致不同的刚度行为。我们的研究结果为多分散颗粒混合物在工程应用中的行为提供了宝贵的见解。
Multi-scale mechanics of polydisperse granular materials: From micro-scale and wave propagation experiments to DEM analysis
This paper presents a multiscale experimental study integrated with numerical simulations examining the mechanics of polydisperse granular mixtures composed of coarse-grained particles mixed with varying percentages of fines. The study includes macroscale wave propagation tests using bender elements on isotopically compressed granular samples to investigate the stiffness variation with changes in size ratio (SR) and fines content (FC). Empirical equations were developed to predict stiffness based on the experimental data, using the concept of equivalent void ratio to represent the influence of void ratio on stiffness. A newly introduced parameter called size disparity indicator was used to consider the coupled effects of size disparity and fines content on stiffness. Microscale assessment of the individual contacting grains revealed that stiffness (at grain scale) is affected by changes in grain size, even when the SR is less than 6, however, the experimental observations of the shear modulus behavior from the macroscale test results reveal minimal effect of FC. Furthermore, numerical simulations using the discrete element method were conducted on the polydisperse granular mixtures to demonstrate the coupled effect of SR and FC on the structural matrix formation, thereby influencing the force transfer among contacts resulting in varying stiffness behavior. Our findings provide valuable insights into the behavior of polydisperse granular mixtures in engineering applications.
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.