Influence of asymptotically-limiting micromechanical properties on the effective behaviour of fibre-supported composite materialsCitation formats

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Influence of asymptotically-limiting micromechanical properties on the effective behaviour of fibre-supported composite materials. / Doman, Eleanor; Shipley, Rebecca; Ovenden, Nicholas.

In: Journal of Engineering Mathematics, Vol. 134, No. 1, 6, 27.05.2022.

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Doman, Eleanor ; Shipley, Rebecca ; Ovenden, Nicholas. / Influence of asymptotically-limiting micromechanical properties on the effective behaviour of fibre-supported composite materials. In: Journal of Engineering Mathematics. 2022 ; Vol. 134, No. 1.

Bibtex

@article{1162a8d477ab4ca0bee53debddfc0ddb,
title = "Influence of asymptotically-limiting micromechanical properties on the effective behaviour of fibre-supported composite materials",
abstract = "The macroscale tensile behaviour of slender fibre-supported composite bodies is examined via an asymptotic homogenisation approach. A series of semi-analytic three-dimensional models for linearly elastic fibre-reinforced materials under extreme, but realistic, limiting microscale mechanical properties are derived, and implemented using COMSOL Multiphysics. The key limits investigated are cases involving incompressibility of one component material, and those where dramatic differences in the shear moduli of the component materials exist within the composite body. Discrepancies are observed between the effective macroscale properties obtained from a standard model, based on the published literature, and those obtained from the models of micromechanical limiting behaviours derived here. Such discrepancies have significant implications when using such models to optimise the material properties of composite materials.",
keywords = "Asymptotic homogenisation, Heterogeneous composites, Multiscale modelling",
author = "Eleanor Doman and Rebecca Shipley and Nicholas Ovenden",
note = "Funding Information: The authors would like to thank Professor James Phillips for his advice on biological structures and their mechanical behaviour. EAD would like to thank Professor William Parnell for his advice concerning symmetries and implementing the code. RJS gratefully acknowledges funding from the ESPRC (EP/R004463/1). Publisher Copyright: {\textcopyright} 2022, The Author(s).",
year = "2022",
month = may,
day = "27",
doi = "10.1007/s10665-022-10226-7",
language = "English",
volume = "134",
journal = "Journal of Engineering Mathematics",
issn = "0022-0833",
publisher = "Springer Nature",
number = "1",

}

RIS

TY - JOUR

T1 - Influence of asymptotically-limiting micromechanical properties on the effective behaviour of fibre-supported composite materials

AU - Doman, Eleanor

AU - Shipley, Rebecca

AU - Ovenden, Nicholas

N1 - Funding Information: The authors would like to thank Professor James Phillips for his advice on biological structures and their mechanical behaviour. EAD would like to thank Professor William Parnell for his advice concerning symmetries and implementing the code. RJS gratefully acknowledges funding from the ESPRC (EP/R004463/1). Publisher Copyright: © 2022, The Author(s).

PY - 2022/5/27

Y1 - 2022/5/27

N2 - The macroscale tensile behaviour of slender fibre-supported composite bodies is examined via an asymptotic homogenisation approach. A series of semi-analytic three-dimensional models for linearly elastic fibre-reinforced materials under extreme, but realistic, limiting microscale mechanical properties are derived, and implemented using COMSOL Multiphysics. The key limits investigated are cases involving incompressibility of one component material, and those where dramatic differences in the shear moduli of the component materials exist within the composite body. Discrepancies are observed between the effective macroscale properties obtained from a standard model, based on the published literature, and those obtained from the models of micromechanical limiting behaviours derived here. Such discrepancies have significant implications when using such models to optimise the material properties of composite materials.

AB - The macroscale tensile behaviour of slender fibre-supported composite bodies is examined via an asymptotic homogenisation approach. A series of semi-analytic three-dimensional models for linearly elastic fibre-reinforced materials under extreme, but realistic, limiting microscale mechanical properties are derived, and implemented using COMSOL Multiphysics. The key limits investigated are cases involving incompressibility of one component material, and those where dramatic differences in the shear moduli of the component materials exist within the composite body. Discrepancies are observed between the effective macroscale properties obtained from a standard model, based on the published literature, and those obtained from the models of micromechanical limiting behaviours derived here. Such discrepancies have significant implications when using such models to optimise the material properties of composite materials.

KW - Asymptotic homogenisation

KW - Heterogeneous composites

KW - Multiscale modelling

UR - http://dx.doi.org/10.1007/s10665-022-10226-7

U2 - 10.1007/s10665-022-10226-7

DO - 10.1007/s10665-022-10226-7

M3 - Article

VL - 134

JO - Journal of Engineering Mathematics

JF - Journal of Engineering Mathematics

SN - 0022-0833

IS - 1

M1 - 6

ER -