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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Format: | Article |
Language: | English |
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Wiley
2020-01-01
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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. |
format | Article |
id | doaj-art-c9d57529b80e4749b444090dedbe765f |
institution | Kabale University |
issn | 1687-8086 1687-8094 |
language | English |
publishDate | 2020-01-01 |
publisher | Wiley |
record_format | Article |
series | Advances in Civil Engineering |
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 |
work_keys_str_mv | AT chaojieshen predictionmodelofminimumvoidratioforvarioussizesshapesofsandybinarymixture AT zhaoyangxu predictionmodelofminimumvoidratioforvarioussizesshapesofsandybinarymixture AT jieyin predictionmodelofminimumvoidratioforvarioussizesshapesofsandybinarymixture AT jinfengwu predictionmodelofminimumvoidratioforvarioussizesshapesofsandybinarymixture |