A unified framework for the multi-scale computational homogenisation of 3D-textile composites

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    Early online date
    • Zahur Ullah
    • X.-Y. Zhou
    • Lukasz Kaczmarczyk
    • Edward Archer
    • Alistair McIlhagger
    • Eileen Harkin-Jones

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    This paper extends the applications of a novel and fully automated multi-scale computational homogenisation framework, originally proposed by the authors (Ullah, et al. (2017)) for uni- directional and 2D-textile composites, to 3D-textile composites. 3D-textile composites offer many advantages over 2D-textile composites but their highly complicated and unpredictable post-cured geometries make their design very challenging. Accurate computational models are therefore essential to the development of these materials. The computational framework described in this paper possesses a variety of novel features which have never been tried for this class of composites and can potentially help to fully automatise and improve their design process. A unified approach is used to impose the representative volume element boundary conditions, which allows convenient switching between linear displacement, uniform traction and periodic boundary conditions. The computational framework is implemented using hierarchic basis functions of arbitrary polynomial order, which allows one to increase the order of approximation without changing the finite element mesh. The yarns’ principal directions, required for the transversely isotropic material model are calculated using a potential flow analysis along these yarns. This feature is very useful for 3D-textile composites and can accurately determine fibres’ directions even in the case of very deformed yarns. A numerical example from literature consisting of a 3D-orthogonal woven composite is used to demonstrate the correct implementation and performance of the developed computational framework. Also, the developed computational framework is used to perform a comparative study of the homogenised mechanical properties of five 3D-textile composites with different yarn architectures.

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    • A unified framework for the multi-scale computational homogenisation of 3D-textile composites

      Rights statement: Copyright 2019 Elsevier. This manuscript is distributed under a Creative Commons Attribution-NonCommercial-NoDerivs License (https://creativecommons.org/licenses/by-nc-nd/4.0/), which permits distribution and reproduction for non-commercial purposes, provided the author and source are cited

      Accepted author manuscript, 19 MB, PDF-document

      Embargo ends: 19/03/2020

    DOI

    Original languageEnglish
    Pages (from-to)582 -598
    JournalComposites Part B: Engineering
    Journal publication date19 Mar 2019
    Volume167
    Early online date19 Mar 2019
    DOIs
    Publication statusEarly online date - 19 Mar 2019

    ID: 166676175