Theoretical model of effective elastic moduli of composites considering the inclusion features

Quantifying the effect of composition on the two-phase composite’s mechanical properties is crucial for the life prediction and durability design of the whole structure. Features of inclusions, especially shape and size, affect the two-phase composites’ effective elastic moduli significantly. Howeve...

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Main Authors: Xuqian Liu, Zhangyu Wu, Shuohui Chen
Format: Article
Language:English
Published: Elsevier 2025-05-01
Series:Materials & Design
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Online Access:http://www.sciencedirect.com/science/article/pii/S0264127525002692
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author Xuqian Liu
Zhangyu Wu
Shuohui Chen
author_facet Xuqian Liu
Zhangyu Wu
Shuohui Chen
author_sort Xuqian Liu
collection DOAJ
description Quantifying the effect of composition on the two-phase composite’s mechanical properties is crucial for the life prediction and durability design of the whole structure. Features of inclusions, especially shape and size, affect the two-phase composites’ effective elastic moduli significantly. However, previous studies have not considered the coupling effects of the inclusion shape, size, and volume fraction. To address this problem, a new normalized theoretical model (modified three-point approximation TPA) is proposed to predict the coupling effects of these factors by introducing two parameters: sphericity and skewness. Then, this work considers the two-phase composite containing inclusions (non-spherical particles of different shapes) and the matrix. The non-spherical particle packing structures are created by the discrete element method. Based on the particulate structures, the reliability of the proposed modified TPA can be verified by the numerical simulation using the lattice model. The correction parameters for sphericity and skewness are 1.21 and −0.58, respectively. The new modified TPA demonstrates that the elastic moduli increase when the number of smaller particles decreases and the particle shape approaches the sphere. The newly proposed modified TPA is significant for designing and applying particulate composites.
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spelling doaj-art-600a78c7730c4bc88b550b7132cc4e292025-08-20T02:02:43ZengElsevierMaterials & Design0264-12752025-05-0125311384910.1016/j.matdes.2025.113849Theoretical model of effective elastic moduli of composites considering the inclusion featuresXuqian Liu0Zhangyu Wu1Shuohui Chen2Jiangsu Key Laboratory of Construction Materials, School of Materials Science and Engineering, Southeast University, Nanjing 211189, ChinaJiangsu Key Laboratory of Construction Materials, School of Materials Science and Engineering, Southeast University, Nanjing 211189, China; Corresponding author at: Jiangsu Key Laboratory of Construction Materials, School of Materials Science and Engineering, Southeast University, Nanjing 211189, China.Beijing Construction Engineering Group, Beijing 100055, ChinaQuantifying the effect of composition on the two-phase composite’s mechanical properties is crucial for the life prediction and durability design of the whole structure. Features of inclusions, especially shape and size, affect the two-phase composites’ effective elastic moduli significantly. However, previous studies have not considered the coupling effects of the inclusion shape, size, and volume fraction. To address this problem, a new normalized theoretical model (modified three-point approximation TPA) is proposed to predict the coupling effects of these factors by introducing two parameters: sphericity and skewness. Then, this work considers the two-phase composite containing inclusions (non-spherical particles of different shapes) and the matrix. The non-spherical particle packing structures are created by the discrete element method. Based on the particulate structures, the reliability of the proposed modified TPA can be verified by the numerical simulation using the lattice model. The correction parameters for sphericity and skewness are 1.21 and −0.58, respectively. The new modified TPA demonstrates that the elastic moduli increase when the number of smaller particles decreases and the particle shape approaches the sphere. The newly proposed modified TPA is significant for designing and applying particulate composites.http://www.sciencedirect.com/science/article/pii/S0264127525002692Three-point approximationEffective elastic modulin-point correlation functionTwo-phase compositesInclusionLattice model
spellingShingle Xuqian Liu
Zhangyu Wu
Shuohui Chen
Theoretical model of effective elastic moduli of composites considering the inclusion features
Materials & Design
Three-point approximation
Effective elastic moduli
n-point correlation function
Two-phase composites
Inclusion
Lattice model
title Theoretical model of effective elastic moduli of composites considering the inclusion features
title_full Theoretical model of effective elastic moduli of composites considering the inclusion features
title_fullStr Theoretical model of effective elastic moduli of composites considering the inclusion features
title_full_unstemmed Theoretical model of effective elastic moduli of composites considering the inclusion features
title_short Theoretical model of effective elastic moduli of composites considering the inclusion features
title_sort theoretical model of effective elastic moduli of composites considering the inclusion features
topic Three-point approximation
Effective elastic moduli
n-point correlation function
Two-phase composites
Inclusion
Lattice model
url http://www.sciencedirect.com/science/article/pii/S0264127525002692
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AT zhangyuwu theoreticalmodelofeffectiveelasticmoduliofcompositesconsideringtheinclusionfeatures
AT shuohuichen theoreticalmodelofeffectiveelasticmoduliofcompositesconsideringtheinclusionfeatures