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Characterization of orthotropic elastic tensor using lamb waves

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Abstract
In structural design and structural health monitoring (SHM), characterization of elastic stiffness tensor is fundamental. However, reconstruction of stiffness coefficients is complex problem due to anisotropy and heterogeneity in the composite materials. In this study, to identify the stiffness parameters of orthotropic composite plate an inverse procedure is proposed by using lamb wave phase velocities. During the experiments, a small piezoelectric actuator with a broadband signal (0-200 kHz) and a 3D Infrared Scanning Laser Doppler Vibrometer used for excitation and measurement, respectively. The measurement data is converted into frequency-wavenumber domain by using 3D Fourier transform and dispersion curves of the A<sub>0</sub>, S<sub>0</sub> and SH<sub>0</sub> modes are extracted. As the forward model, third order shear deformation theory (ToSDT) is used and embedded in the inversion algorithm due to its accuracy and computational efficiency. Thanks to this approximate method, dispersion curves are calculated in less than a second which is crucial for the inversion procedure. Stiffness parameters are calculated by minimizing the error between three measured and the three calculated lamb wave modes. Finally, different heuristic optimization algorithms like surrogate optimization, particle swarm, genetic algorithm and simulated annealing are used and results are compared. The reconstructed stiffness properties of quasi isotropic composite plate are compared with values from literature, showing good agreement, with errors below 7 percent for all 9 stiffness parameters.
Keywords
Composite Materials, Lamb waves, Material Characterization, Structural Health Monitoring

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MLA
Orta, Adil Han, et al. “Characterization of Orthotropic Elastic Tensor Using Lamb Waves.” PROCEEDINGS OF FORUM ACUSTICUM, European Acoustics Association (EAA), 2020, pp. 3319–26, doi:10.48465/fa.2020.0909.
APA
Orta, A. H., Segers, J., Vandendriessche, J., Roozen, N. B., Van Paepegem, W., Kersemans, M., & Van Den Abeele, K. (2020). Characterization of orthotropic elastic tensor using lamb waves. In PROCEEDINGS OF FORUM ACUSTICUM (pp. 3319–3326). Online: European Acoustics Association (EAA). https://doi.org/10.48465/fa.2020.0909
Chicago author-date
Orta, Adil Han, Joost Segers, Jeroen Vandendriessche, Nicolaas Bernardus Roozen, Wim Van Paepegem, Mathias Kersemans, and Koen Van Den Abeele. 2020. “Characterization of Orthotropic Elastic Tensor Using Lamb Waves.” In PROCEEDINGS OF FORUM ACUSTICUM, 3319–26. European Acoustics Association (EAA). https://doi.org/10.48465/fa.2020.0909.
Chicago author-date (all authors)
Orta, Adil Han, Joost Segers, Jeroen Vandendriessche, Nicolaas Bernardus Roozen, Wim Van Paepegem, Mathias Kersemans, and Koen Van Den Abeele. 2020. “Characterization of Orthotropic Elastic Tensor Using Lamb Waves.” In PROCEEDINGS OF FORUM ACUSTICUM, 3319–3326. European Acoustics Association (EAA). doi:10.48465/fa.2020.0909.
Vancouver
1.
Orta AH, Segers J, Vandendriessche J, Roozen NB, Van Paepegem W, Kersemans M, et al. Characterization of orthotropic elastic tensor using lamb waves. In: PROCEEDINGS OF FORUM ACUSTICUM. European Acoustics Association (EAA); 2020. p. 3319–26.
IEEE
[1]
A. H. Orta et al., “Characterization of orthotropic elastic tensor using lamb waves,” in PROCEEDINGS OF FORUM ACUSTICUM, Online, 2020, pp. 3319–3326.
@inproceedings{8713529,
  abstract     = {{In structural design and structural health monitoring (SHM), characterization of elastic stiffness tensor is fundamental. However, reconstruction of stiffness coefficients is complex problem due to anisotropy and heterogeneity in the composite materials. In this study, to identify the stiffness parameters of orthotropic composite plate an inverse procedure is proposed by using lamb wave phase velocities. During the experiments, a small piezoelectric actuator with a broadband signal (0-200 kHz) and a 3D Infrared Scanning Laser Doppler Vibrometer used for excitation and measurement, respectively. The measurement data is converted into frequency-wavenumber domain by using 3D Fourier transform and dispersion curves of the A<sub>0</sub>, S<sub>0</sub> and SH<sub>0</sub> modes are extracted. As the forward model, third order shear deformation theory (ToSDT) is used and embedded in the inversion algorithm due to its accuracy and computational efficiency. Thanks to this approximate method, dispersion curves are calculated in less than a second which is crucial for the inversion procedure. Stiffness parameters are calculated by minimizing the error between three measured and the three calculated lamb wave modes. Finally, different heuristic optimization algorithms like surrogate optimization, particle swarm, genetic algorithm and simulated annealing are used and results are compared. The reconstructed stiffness properties of quasi isotropic composite plate are compared with values from literature, showing good agreement, with errors below 7 percent for all 9 stiffness parameters.}},
  author       = {{Orta, Adil Han and Segers, Joost and Vandendriessche, Jeroen and Roozen, Nicolaas Bernardus and Van Paepegem, Wim and Kersemans, Mathias and Van Den Abeele, Koen}},
  booktitle    = {{PROCEEDINGS OF FORUM ACUSTICUM}},
  issn         = {{2221-3767}},
  keywords     = {{Composite Materials,Lamb waves,Material Characterization,Structural Health Monitoring}},
  language     = {{eng}},
  location     = {{Online}},
  pages        = {{3319--3326}},
  publisher    = {{European Acoustics Association (EAA)}},
  title        = {{Characterization of orthotropic elastic tensor using lamb waves}},
  url          = {{http://dx.doi.org/10.48465/fa.2020.0909}},
  year         = {{2020}},
}

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