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Modeling lamb wave propagation in visco-elastic composite plates using a fifth-order plate theory

(2021) ULTRASONICS. 116.
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Abstract
A new extension of the shear deformation theory to fifth order in order to calculate the spectrum of Lamb waves in orthotropic media over a wide frequency range is developed and analyzed. The aspiration of the proposed method is to create an alternative framework to exhaustive 3D elasticity based solutions by increasing computational efficiency without losing accuracy, nor robustness. A new computational framework is introduced which allows to estimate the dispersion curves for the first nine symmetric and nine antisymmetric Lamb modes. Analytically calculated dispersion curves using 5-SDT for different propagation directions and polar plots for selected frequency of different materials are compared with the results from both the semi analytical finite element method, and lower order shear deformation theories. Careful analysis for individual laminae and for symmetric composite laminates exhibits a good agreement between the new higher order plate theory and the semi analytical finite element method over an extensive frequency range. In addition, attenuation plots show that the proposed method can also be used for visco-elastic materials (or highly damped materials). The advantage of the new higher order plate theory and its numerical implementation is that it is much more computationally efficient compared to comprehensive methods as Lamb wave polar plots of composite plates as function of incidence angle, polar angle and frequency can be calculated in less than a second on a standard laptop. Consequently, the use of this framework in inversion routines opens up the possibility of quasi real-time Structural Health Monitoring for visco-elastic composites covering a sufficiently wide frequency range.
Keywords
Lamb waves, Higher order plate theory, Composites, Structural Health Monitoring (SHM), Viscoelastic materials, STIFFNESS MATRIX-METHOD, HIGHER-ORDER THEORY, LAMINATED COMPOSITE, ANISOTROPIC MEDIA

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MLA
Orta, Adil Han, et al. “Modeling Lamb Wave Propagation in Visco-Elastic Composite Plates Using a Fifth-Order Plate Theory.” ULTRASONICS, vol. 116, 2021, doi:10.1016/j.ultras.2021.106482.
APA
Orta, A. H., Vandendriessche, J., Kersemans, M., Van Paepegem, W., Roozen, N. B., & Van Den Abeele, K. (2021). Modeling lamb wave propagation in visco-elastic composite plates using a fifth-order plate theory. ULTRASONICS, 116. https://doi.org/10.1016/j.ultras.2021.106482
Chicago author-date
Orta, Adil Han, Jeroen Vandendriessche, Mathias Kersemans, Wim Van Paepegem, Nicolaas Bernardus Roozen, and Koen Van Den Abeele. 2021. “Modeling Lamb Wave Propagation in Visco-Elastic Composite Plates Using a Fifth-Order Plate Theory.” ULTRASONICS 116. https://doi.org/10.1016/j.ultras.2021.106482.
Chicago author-date (all authors)
Orta, Adil Han, Jeroen Vandendriessche, Mathias Kersemans, Wim Van Paepegem, Nicolaas Bernardus Roozen, and Koen Van Den Abeele. 2021. “Modeling Lamb Wave Propagation in Visco-Elastic Composite Plates Using a Fifth-Order Plate Theory.” ULTRASONICS 116. doi:10.1016/j.ultras.2021.106482.
Vancouver
1.
Orta AH, Vandendriessche J, Kersemans M, Van Paepegem W, Roozen NB, Van Den Abeele K. Modeling lamb wave propagation in visco-elastic composite plates using a fifth-order plate theory. ULTRASONICS. 2021;116.
IEEE
[1]
A. H. Orta, J. Vandendriessche, M. Kersemans, W. Van Paepegem, N. B. Roozen, and K. Van Den Abeele, “Modeling lamb wave propagation in visco-elastic composite plates using a fifth-order plate theory,” ULTRASONICS, vol. 116, 2021.
@article{8712731,
  abstract     = {{A new extension of the shear deformation theory to fifth order in order to calculate the spectrum of Lamb waves in orthotropic media over a wide frequency range is developed and analyzed. The aspiration of the proposed method is to create an alternative framework to exhaustive 3D elasticity based solutions by increasing computational efficiency without losing accuracy, nor robustness. A new computational framework is introduced which allows to estimate the dispersion curves for the first nine symmetric and nine antisymmetric Lamb modes. Analytically calculated dispersion curves using 5-SDT for different propagation directions and polar plots for selected frequency of different materials are compared with the results from both the semi analytical finite element method, and lower order shear deformation theories. Careful analysis for individual laminae and for symmetric composite laminates exhibits a good agreement between the new higher order plate theory and the semi analytical finite element method over an extensive frequency range. In addition, attenuation plots show that the proposed method can also be used for visco-elastic materials (or highly damped materials). The advantage of the new higher order plate theory and its numerical implementation is that it is much more computationally efficient compared to comprehensive methods as Lamb wave polar plots of composite plates as function of incidence angle, polar angle and frequency can be calculated in less than a second on a standard laptop. Consequently, the use of this framework in inversion routines opens up the possibility of quasi real-time Structural Health Monitoring for visco-elastic composites covering a sufficiently wide frequency range.}},
  articleno    = {{106482}},
  author       = {{Orta, Adil Han and Vandendriessche, Jeroen and Kersemans, Mathias and Van Paepegem, Wim and Roozen, Nicolaas Bernardus and Van Den Abeele, Koen}},
  issn         = {{0041-624X}},
  journal      = {{ULTRASONICS}},
  keywords     = {{Lamb waves,Higher order plate theory,Composites,Structural Health Monitoring (SHM),Viscoelastic materials,STIFFNESS MATRIX-METHOD,HIGHER-ORDER THEORY,LAMINATED COMPOSITE,ANISOTROPIC MEDIA}},
  language     = {{eng}},
  pages        = {{15}},
  title        = {{Modeling lamb wave propagation in visco-elastic composite plates using a fifth-order plate theory}},
  url          = {{http://dx.doi.org/10.1016/j.ultras.2021.106482}},
  volume       = {{116}},
  year         = {{2021}},
}

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