The extended plane wave expansion (EPWE) formulation is derived to obtain the complex band structure of flexural waves in viscoelastic thin phononic crystal plates considering the Kirchhoff-Love plate theory. The presented formulation yields the evanescent behavior of flexural waves in periodic thin plates considering viscoelastic effects. The viscosity is modeled by the standard linear solid model (SLSM), typically used to closely model the behavior of polymers. It is observed that the viscoelasticity influences significantly both the propagating and evanescent Bloch modes. The highest wave attenuation of the viscoelastic phononic thin plate is found around a unit cell filling fraction of 0.37 for higher frequencies considering the least attenuated wave mode. This EPWE formulation broadens the suitable methods to handle evanescent flexural waves in 2-D thin periodic plate systems considering the effects of viscoelasticity on wave attenuation.

Extended Plane Wave Expansion Formulation for Viscoelastic Phononic Thin Plates / Miranda, E. J. P.; Dal Poggetto, V. F.; Pugno, N. M.; Dos Santos, J. M. C.. - In: WAVE MOTION. - ISSN 0165-2125. - 2023, 123:(2023), pp. 1-12. [10.1016/j.wavemoti.2023.103222]

Extended Plane Wave Expansion Formulation for Viscoelastic Phononic Thin Plates

Pugno, N. M.
Co-ultimo
;
2023-01-01

Abstract

The extended plane wave expansion (EPWE) formulation is derived to obtain the complex band structure of flexural waves in viscoelastic thin phononic crystal plates considering the Kirchhoff-Love plate theory. The presented formulation yields the evanescent behavior of flexural waves in periodic thin plates considering viscoelastic effects. The viscosity is modeled by the standard linear solid model (SLSM), typically used to closely model the behavior of polymers. It is observed that the viscoelasticity influences significantly both the propagating and evanescent Bloch modes. The highest wave attenuation of the viscoelastic phononic thin plate is found around a unit cell filling fraction of 0.37 for higher frequencies considering the least attenuated wave mode. This EPWE formulation broadens the suitable methods to handle evanescent flexural waves in 2-D thin periodic plate systems considering the effects of viscoelasticity on wave attenuation.
2023
Miranda, E. J. P.; Dal Poggetto, V. F.; Pugno, N. M.; Dos Santos, J. M. C.
Extended Plane Wave Expansion Formulation for Viscoelastic Phononic Thin Plates / Miranda, E. J. P.; Dal Poggetto, V. F.; Pugno, N. M.; Dos Santos, J. M. C.. - In: WAVE MOTION. - ISSN 0165-2125. - 2023, 123:(2023), pp. 1-12. [10.1016/j.wavemoti.2023.103222]
File in questo prodotto:
File Dimensione Formato  
609-Extended_plane_wave.pdf

accesso aperto

Tipologia: Pre-print non referato (Non-refereed preprint)
Licenza: Creative commons
Dimensione 1.51 MB
Formato Adobe PDF
1.51 MB Adobe PDF Visualizza/Apri
1-s2.0-S0165212523001087-main.pdf

Solo gestori archivio

Tipologia: Versione editoriale (Publisher’s layout)
Licenza: Tutti i diritti riservati (All rights reserved)
Dimensione 1.77 MB
Formato Adobe PDF
1.77 MB Adobe PDF   Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11572/437099
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 4
  • ???jsp.display-item.citation.isi??? 4
  • OpenAlex ND
social impact