A novel analytical model of particle size distributions in granular materials

IF 8.7 2区 工程技术 Q1 Mathematics Engineering with Computers Pub Date : 2024-08-05 DOI:10.1007/s00366-024-02042-7
Lifu Yang, Matthew Troemner, Gianluca Cusatis, Huaizhi Su
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Abstract

The analysis of particle size distributions is important to better understand the relation between the microstructure and the heterogenous physical behavior of granular materials, including soils, sands, and concrete. This paper presents a novel analytical model, entitled piecewise linear sieve curve, to accurately reproduce the complicated and wide-ranging particle size distribution of granular materials. The model assumes that the passing percentage varies linearly with aggregate size between two adjacent sieves. The probability density function and cumulative distribution function of the piecewise linear sieve curve can be determined directly once the experimental particle gradation is known. Several types of concrete with different mix designs were taken as numerical examples, and the particle modeling based on piecewise linear sieve curve and the classical Fuller curve were compared. The results show that the piecewise linear sieve curve provides a much better representation of different aggregate particle size distributions than the Fuller curve, and the proposed model achieves the goal to reproduce the experimental aggregate gradation in an efficient and accurate way.

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颗粒材料粒度分布的新型分析模型
粒度分布分析对于更好地理解土、砂和混凝土等颗粒材料的微观结构与异质物理行为之间的关系非常重要。本文提出了一种名为片断线性筛分曲线的新型分析模型,以准确再现粒状材料复杂而广泛的粒度分布。该模型假设相邻两个筛子之间的通过率随骨料粒度的变化而线性变化。一旦知道实验颗粒级配,就可以直接确定片断线性筛分曲线的概率密度函数和累积分布函数。以几种不同混合设计的混凝土为例,比较了基于片断线性筛分曲线和经典富勒曲线的颗粒模型。结果表明,片断线性筛分曲线比 Fuller 曲线更好地代表了不同的骨料粒度分布,所提出的模型实现了高效、准确地再现实验骨料级配的目标。
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来源期刊
Engineering with Computers
Engineering with Computers 工程技术-工程:机械
CiteScore
16.50
自引率
2.30%
发文量
203
审稿时长
9 months
期刊介绍: Engineering with Computers is an international journal dedicated to simulation-based engineering. It features original papers and comprehensive reviews on technologies supporting simulation-based engineering, along with demonstrations of operational simulation-based engineering systems. The journal covers various technical areas such as adaptive simulation techniques, engineering databases, CAD geometry integration, mesh generation, parallel simulation methods, simulation frameworks, user interface technologies, and visualization techniques. It also encompasses a wide range of application areas where engineering technologies are applied, spanning from automotive industry applications to medical device design.
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