Prediction Model of Minimum Void Ratio for Various Sizes/Shapes of Sandy Binary Mixture

The minimum void ratio is a fundamental physical index for evaluating particle properties in soil mechanics, ceramic processing, and concrete mixes. Previous research found that both particle size distribution and particle shape characteristics would affect minimum void ratio, while the current rese...

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Main Authors: Chaojie Shen, Zhaoyang Xu, Jie Yin, Jinfeng Wu
Format: Article
Language:English
Published: Wiley 2020-01-01
Series:Advances in Civil Engineering
Online Access:http://dx.doi.org/10.1155/2020/1898953
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author Chaojie Shen
Zhaoyang Xu
Jie Yin
Jinfeng Wu
author_facet Chaojie Shen
Zhaoyang Xu
Jie Yin
Jinfeng Wu
author_sort Chaojie Shen
collection DOAJ
description The minimum void ratio is a fundamental physical index for evaluating particle properties in soil mechanics, ceramic processing, and concrete mixes. Previous research found that both particle size distribution and particle shape characteristics would affect minimum void ratio, while the current research generally uses a linear model to estimate the minimum void ratio of a binary mixture, ignoring quantitative effect of particle shape on the minimum void ratio. Based on a study of binary mixtures of natural sand from three different origins and iron particles of two different shapes, this paper analyzes the influence factors of the minimum void ratio, and a quadratic nonlinear model is proposed for estimating the minimum void ratio of binary mixture. The model contains only one undetermined coefficient, a, the value of which is correlated to the particle sphericity, particle size, and particle size ratio. A theoretical calculation formula for the coefficient a is proposed to quantitatively analyze the effects of these three factors on the size of the parameters. In the end, the model is used to estimate the minimum void ratios of sand and substitute particles from different producing areas; the average difference between the estimated values and the fitted values is about 2.03%, suggesting that the estimated values of the model fit well with the measured data.
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institution Kabale University
issn 1687-8086
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publishDate 2020-01-01
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spelling doaj-art-c9d57529b80e4749b444090dedbe765f2025-02-03T06:05:17ZengWileyAdvances in Civil Engineering1687-80861687-80942020-01-01202010.1155/2020/18989531898953Prediction Model of Minimum Void Ratio for Various Sizes/Shapes of Sandy Binary MixtureChaojie Shen0Zhaoyang Xu1Jie Yin2Jinfeng Wu3College of Civil Science and Engineering, Yangzhou University, Yangzhou 225127, ChinaCollege of Civil Science and Engineering, Yangzhou University, Yangzhou 225127, ChinaCollege of Civil Science and Engineering, Yangzhou University, Yangzhou 225127, ChinaCollege of Civil Science and Engineering, Yangzhou University, Yangzhou 225127, ChinaThe minimum void ratio is a fundamental physical index for evaluating particle properties in soil mechanics, ceramic processing, and concrete mixes. Previous research found that both particle size distribution and particle shape characteristics would affect minimum void ratio, while the current research generally uses a linear model to estimate the minimum void ratio of a binary mixture, ignoring quantitative effect of particle shape on the minimum void ratio. Based on a study of binary mixtures of natural sand from three different origins and iron particles of two different shapes, this paper analyzes the influence factors of the minimum void ratio, and a quadratic nonlinear model is proposed for estimating the minimum void ratio of binary mixture. The model contains only one undetermined coefficient, a, the value of which is correlated to the particle sphericity, particle size, and particle size ratio. A theoretical calculation formula for the coefficient a is proposed to quantitatively analyze the effects of these three factors on the size of the parameters. In the end, the model is used to estimate the minimum void ratios of sand and substitute particles from different producing areas; the average difference between the estimated values and the fitted values is about 2.03%, suggesting that the estimated values of the model fit well with the measured data.http://dx.doi.org/10.1155/2020/1898953
spellingShingle Chaojie Shen
Zhaoyang Xu
Jie Yin
Jinfeng Wu
Prediction Model of Minimum Void Ratio for Various Sizes/Shapes of Sandy Binary Mixture
Advances in Civil Engineering
title Prediction Model of Minimum Void Ratio for Various Sizes/Shapes of Sandy Binary Mixture
title_full Prediction Model of Minimum Void Ratio for Various Sizes/Shapes of Sandy Binary Mixture
title_fullStr Prediction Model of Minimum Void Ratio for Various Sizes/Shapes of Sandy Binary Mixture
title_full_unstemmed Prediction Model of Minimum Void Ratio for Various Sizes/Shapes of Sandy Binary Mixture
title_short Prediction Model of Minimum Void Ratio for Various Sizes/Shapes of Sandy Binary Mixture
title_sort prediction model of minimum void ratio for various sizes shapes of sandy binary mixture
url http://dx.doi.org/10.1155/2020/1898953
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AT zhaoyangxu predictionmodelofminimumvoidratioforvarioussizesshapesofsandybinarymixture
AT jieyin predictionmodelofminimumvoidratioforvarioussizesshapesofsandybinarymixture
AT jinfengwu predictionmodelofminimumvoidratioforvarioussizesshapesofsandybinarymixture