An element-wise scheme to analyse local mechanical anisotropy in fibre-reinforced composites

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Accepted Manuscript (AM)
Author(s)
Javanbakht, Zia
Hall, Wayne
Oechsner, Andreas
Year published
2020
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Herein, the general constitutive equation of bi-phasic materials equipped with orientation tensor is presented in direct notation. The formulation is refined by some correction factors specific to natural fibre-reinforced composites; then, a planar case is derived. The necessity of local information is emphasised through the introduction of auxiliary maps, which included volume fraction and orientation data. A semi-analytical homogenisation method is introduced through finite element analysis. Auxiliary maps are shown to be a better alternative to the overall orientation of fibres. Global calculations are insensitive to local ...
View more >Herein, the general constitutive equation of bi-phasic materials equipped with orientation tensor is presented in direct notation. The formulation is refined by some correction factors specific to natural fibre-reinforced composites; then, a planar case is derived. The necessity of local information is emphasised through the introduction of auxiliary maps, which included volume fraction and orientation data. A semi-analytical homogenisation method is introduced through finite element analysis. Auxiliary maps are shown to be a better alternative to the overall orientation of fibres. Global calculations are insensitive to local variations whilst appropriate auxiliary maps offer refined results. Considering the multidisciplinary application of orientation tensors, the proposed scheme can be used in all areas where local information cannot be disregarded.
View less >
View more >Herein, the general constitutive equation of bi-phasic materials equipped with orientation tensor is presented in direct notation. The formulation is refined by some correction factors specific to natural fibre-reinforced composites; then, a planar case is derived. The necessity of local information is emphasised through the introduction of auxiliary maps, which included volume fraction and orientation data. A semi-analytical homogenisation method is introduced through finite element analysis. Auxiliary maps are shown to be a better alternative to the overall orientation of fibres. Global calculations are insensitive to local variations whilst appropriate auxiliary maps offer refined results. Considering the multidisciplinary application of orientation tensors, the proposed scheme can be used in all areas where local information cannot be disregarded.
View less >
Journal Title
Materials Science and Technology
Volume
36
Issue
11
Copyright Statement
This is an Author's Accepted Manuscript of an article published in Materials Science and Technology, 36 (11), pp. 1178-1190, 13 May 2020, copyright Taylor & Francis, available online at: https://doi.org/10.1080/02670836.2020.1762296
Subject
Materials engineering
Mechanical engineering
Science & Technology
Materials Science, Multidisciplinary
Metallurgy & Metallurgical Engineering
Materials Science