A homogenisation scheme for ultrasonic Lamb wave dispersion in textile composites through multiscale wave and finite element modelling

V. Thierry; S. Cantero-Chinchilla; W. Wu; A. Lhemery; D. Chronopoulos

doi:10.1002/stc.2728

A homogenisation scheme for ultrasonic Lamb wave dispersion in textile composites through multiscale wave and finite element modelling

V. Thierry
, S. Cantero-Chinchilla
, W. Wu
, A. Lhemery
, D. Chronopoulos^*

^*Corresponding author for this work

Research output: Contribution to journal › Article (Academic Journal) › peer-review

3 Citations (Scopus)

Abstract

In this work, homogenisation of textile composite models is studied in order to increase the accuracy of wave dispersion predictions in such complex structures. A multiscale methodology is formed involving (i) calculation of the ultrasonic wave propagation through a detailed mesoscale finite element model of the textile and (ii) updating the mechanical properties of a semi-analytical finite element (SAFE) model to match the accurate mesoscale predictions. The speeds of the first shear (SH₀) and Lamb wave modes (A₀ and S₀) are used to define the objective function to minimise in an inversion process based on genetic algorithms. The algorithm is tested on an orthotropic plate structure whose all nine unknown elastic moduli are successfully reconstructed and is then applied to three different numerical models. We demonstrate both numerically and experimentally that the proposed scheme provides more accurate dispersion characteristics compared to the ones obtained through the statically measured mechanical properties.

Original language	English
Article number	e2728
Journal	Structural Control and Health Monitoring
Volume	28
Issue number	6
Early online date	30 Mar 2021
DOIs	https://doi.org/10.1002/stc.2728
Publication status	Published - Jun 2021

Bibliographical note

Funding Information:
This work is funded by the INNOVATIVE doctoral programme. The INNOVATIVE programme is partially funded by the Marie Curie Initial Training Networks (ITN) action (project number 665468) and partially by the Institute for Aerospace Technology (IAT) at the University of Nottingham. We are grateful for access to the University of Nottingham's Augusta HPC service.

Publisher Copyright:
© 2021 John Wiley & Sons, Ltd.

Keywords

dispersion relations
genetic algorithm
multiscale modelling
periodic structure theory
textile composites
wave propagation

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title = "A homogenisation scheme for ultrasonic Lamb wave dispersion in textile composites through multiscale wave and finite element modelling",

abstract = "In this work, homogenisation of textile composite models is studied in order to increase the accuracy of wave dispersion predictions in such complex structures. A multiscale methodology is formed involving (i) calculation of the ultrasonic wave propagation through a detailed mesoscale finite element model of the textile and (ii) updating the mechanical properties of a semi-analytical finite element (SAFE) model to match the accurate mesoscale predictions. The speeds of the first shear (SH0) and Lamb wave modes (A0 and S0) are used to define the objective function to minimise in an inversion process based on genetic algorithms. The algorithm is tested on an orthotropic plate structure whose all nine unknown elastic moduli are successfully reconstructed and is then applied to three different numerical models. We demonstrate both numerically and experimentally that the proposed scheme provides more accurate dispersion characteristics compared to the ones obtained through the statically measured mechanical properties.",

keywords = "dispersion relations, genetic algorithm, multiscale modelling, periodic structure theory, textile composites, wave propagation",

author = "V. Thierry and S. Cantero-Chinchilla and W. Wu and A. Lhemery and D. Chronopoulos",

note = "Funding Information: This work is funded by the INNOVATIVE doctoral programme. The INNOVATIVE programme is partially funded by the Marie Curie Initial Training Networks (ITN) action (project number 665468) and partially by the Institute for Aerospace Technology (IAT) at the University of Nottingham. We are grateful for access to the University of Nottingham's Augusta HPC service. Publisher Copyright: {\textcopyright} 2021 John Wiley \& Sons, Ltd.",

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doi = "10.1002/stc.2728",

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T1 - A homogenisation scheme for ultrasonic Lamb wave dispersion in textile composites through multiscale wave and finite element modelling

AU - Thierry, V.

AU - Cantero-Chinchilla, S.

AU - Wu, W.

AU - Lhemery, A.

AU - Chronopoulos, D.

N1 - Funding Information: This work is funded by the INNOVATIVE doctoral programme. The INNOVATIVE programme is partially funded by the Marie Curie Initial Training Networks (ITN) action (project number 665468) and partially by the Institute for Aerospace Technology (IAT) at the University of Nottingham. We are grateful for access to the University of Nottingham's Augusta HPC service. Publisher Copyright: © 2021 John Wiley & Sons, Ltd.

PY - 2021/6

Y1 - 2021/6

N2 - In this work, homogenisation of textile composite models is studied in order to increase the accuracy of wave dispersion predictions in such complex structures. A multiscale methodology is formed involving (i) calculation of the ultrasonic wave propagation through a detailed mesoscale finite element model of the textile and (ii) updating the mechanical properties of a semi-analytical finite element (SAFE) model to match the accurate mesoscale predictions. The speeds of the first shear (SH0) and Lamb wave modes (A0 and S0) are used to define the objective function to minimise in an inversion process based on genetic algorithms. The algorithm is tested on an orthotropic plate structure whose all nine unknown elastic moduli are successfully reconstructed and is then applied to three different numerical models. We demonstrate both numerically and experimentally that the proposed scheme provides more accurate dispersion characteristics compared to the ones obtained through the statically measured mechanical properties.

AB - In this work, homogenisation of textile composite models is studied in order to increase the accuracy of wave dispersion predictions in such complex structures. A multiscale methodology is formed involving (i) calculation of the ultrasonic wave propagation through a detailed mesoscale finite element model of the textile and (ii) updating the mechanical properties of a semi-analytical finite element (SAFE) model to match the accurate mesoscale predictions. The speeds of the first shear (SH0) and Lamb wave modes (A0 and S0) are used to define the objective function to minimise in an inversion process based on genetic algorithms. The algorithm is tested on an orthotropic plate structure whose all nine unknown elastic moduli are successfully reconstructed and is then applied to three different numerical models. We demonstrate both numerically and experimentally that the proposed scheme provides more accurate dispersion characteristics compared to the ones obtained through the statically measured mechanical properties.

KW - dispersion relations

KW - genetic algorithm

KW - multiscale modelling

KW - periodic structure theory

KW - textile composites

KW - wave propagation

UR - https://www.scopus.com/pages/publications/85103403248

U2 - 10.1002/stc.2728

DO - 10.1002/stc.2728

M3 - Article (Academic Journal)

AN - SCOPUS:85103403248

SN - 1545-2255

VL - 28

JO - Structural Control and Health Monitoring

JF - Structural Control and Health Monitoring

IS - 6

M1 - e2728

ER -

A homogenisation scheme for ultrasonic Lamb wave dispersion in textile composites through multiscale wave and finite element modelling

Abstract

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