Multi-scale wave propagation modelling for two-dimensional periodic textile composites

In this article, a method allowing vibro-acoustic and ultrasonic wave propagation analysis of highly anisotropic textile composites at a mesoscopic level is presented for the first time. The method combines the advantages of mode-based Component Mode Synthesis (CMS) that allows reduction of the size...

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Main Authors: Thierry, V., Brown, L., Chronopoulos, D.
Format: Article
Published: Elsevier 2018
Subjects:
Online Access:https://eprints.nottingham.ac.uk/52201/
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author Thierry, V.
Brown, L.
Chronopoulos, D.
author_facet Thierry, V.
Brown, L.
Chronopoulos, D.
author_sort Thierry, V.
building Nottingham Research Data Repository
collection Online Access
description In this article, a method allowing vibro-acoustic and ultrasonic wave propagation analysis of highly anisotropic textile composites at a mesoscopic level is presented for the first time. The method combines the advantages of mode-based Component Mode Synthesis (CMS) that allows reduction of the size of the Dynamic Stiffness Matrix (DSM) of a textile unit cell, and of a Wave Finite Element Method (WFEM), which associates the Periodic Structure Theory (PST) with standard Finite Element Method (FEM). The scheme presented allows the study of the wave propagation properties of a periodic structure by modelling only a unit cell. A multi-scale approach is used to enable the comparison of standard vibrational analysis of textile composite structures, using homogenized properties, with a more complex analysis, where the mesoscale properties of the structure are preserved. It is shown for two different types of weaves that using a standard homogenised model results in significant errors in the dispersion curves. Also band-gap behaviour within specific frequency ranges are successfully predicted using the mesoscale models, whereas it was not observed in the macroscale ones.
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publishDate 2018
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spelling nottingham-522012020-05-04T19:49:23Z https://eprints.nottingham.ac.uk/52201/ Multi-scale wave propagation modelling for two-dimensional periodic textile composites Thierry, V. Brown, L. Chronopoulos, D. In this article, a method allowing vibro-acoustic and ultrasonic wave propagation analysis of highly anisotropic textile composites at a mesoscopic level is presented for the first time. The method combines the advantages of mode-based Component Mode Synthesis (CMS) that allows reduction of the size of the Dynamic Stiffness Matrix (DSM) of a textile unit cell, and of a Wave Finite Element Method (WFEM), which associates the Periodic Structure Theory (PST) with standard Finite Element Method (FEM). The scheme presented allows the study of the wave propagation properties of a periodic structure by modelling only a unit cell. A multi-scale approach is used to enable the comparison of standard vibrational analysis of textile composite structures, using homogenized properties, with a more complex analysis, where the mesoscale properties of the structure are preserved. It is shown for two different types of weaves that using a standard homogenised model results in significant errors in the dispersion curves. Also band-gap behaviour within specific frequency ranges are successfully predicted using the mesoscale models, whereas it was not observed in the macroscale ones. Elsevier 2018-10-01 Article PeerReviewed Thierry, V., Brown, L. and Chronopoulos, D. (2018) Multi-scale wave propagation modelling for two-dimensional periodic textile composites. Composites Part B: Engineering, 150 . pp. 144-156. ISSN 1359-8368 Textile composite structures Wave propagation Periodic Structure Theory Component Mode Synthesis Unit cell modelling Multiscale homogenization https://www.sciencedirect.com/science/article/pii/S1359836818305729 doi:10.1016/j.compositesb.2018.05.052 doi:10.1016/j.compositesb.2018.05.052
spellingShingle Textile composite structures
Wave propagation
Periodic Structure Theory
Component Mode Synthesis
Unit cell modelling
Multiscale homogenization
Thierry, V.
Brown, L.
Chronopoulos, D.
Multi-scale wave propagation modelling for two-dimensional periodic textile composites
title Multi-scale wave propagation modelling for two-dimensional periodic textile composites
title_full Multi-scale wave propagation modelling for two-dimensional periodic textile composites
title_fullStr Multi-scale wave propagation modelling for two-dimensional periodic textile composites
title_full_unstemmed Multi-scale wave propagation modelling for two-dimensional periodic textile composites
title_short Multi-scale wave propagation modelling for two-dimensional periodic textile composites
title_sort multi-scale wave propagation modelling for two-dimensional periodic textile composites
topic Textile composite structures
Wave propagation
Periodic Structure Theory
Component Mode Synthesis
Unit cell modelling
Multiscale homogenization
url https://eprints.nottingham.ac.uk/52201/
https://eprints.nottingham.ac.uk/52201/
https://eprints.nottingham.ac.uk/52201/