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Publication Detail
Influence of asymptotically-limiting micromechanical properties on the effective behaviour of fibre-supported composite materials
  • Publication Type:
    Journal article
  • Authors:
    Doman EA, Shipley RJ, Ovenden NC
  • Publisher:
    Springer Science and Business Media LLC
  • Publication date:
    06/2022
  • Journal:
    Journal of Engineering Mathematics
  • Volume:
    134
  • Issue:
    1
  • Article number:
    6
  • Status:
    Published
  • Language:
    English
  • Keywords:
    Asymptotic homogenisation, Heterogeneous composites, Multiscale modelling
  • Notes:
    Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
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.
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