Homogenization of piezoelectric planar Willis materials undergoing antiplane shear
View/ Open
Impact
Scholar |
Other documents of the author: Muhafra, Alan; Kosta, Majd; Torrent, Daniel; Pernas Salomón, René; Shmuel, Gal
Metadata
Show full item recordcomunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/43662
comunitat-uji-handle3:10234/43643
comunitat-uji-handle4:
INVESTIGACIONMetadata
Title
Homogenization of piezoelectric planar Willis materials undergoing antiplane shearDate
2021-10-09Publisher
ElsevierBibliographic citation
MUHAFRA, Alan, et al. Homogenization of piezoelectric planar Willis materials undergoing antiplane shear. Wave Motion, 2022, vol. 108, p. 102833.Type
info:eu-repo/semantics/articleVersion
info:eu-repo/semantics/submittedVersionSubject
Abstract
Homogenization theories provide models that simplify the constitutive description of heterogeneous media while retaining their macroscopic features. These theories have shown how the governing fields can be macrosco ... [+]
Homogenization theories provide models that simplify the constitutive description of heterogeneous media while retaining their macroscopic features. These theories have shown how the governing fields can be macroscopically coupled, even if they are microscopically independent. A prominent example is the Willis theory which predicted the strain–momentum coupling in elastodynamic metamaterials. Recently, a theory that is based on the Green’s function method predicted analogous electro–momentum coupling in piezoelectric metamaterials. Here, we develop a simpler scheme for fibrous piezoelectric composites undergoing antiplane shear waves. We employ a source-driven approach that delivers a unique set of effective properties for arbitrary frequency–wavevector pairs. We numerically show how the resultant homogenized model recovers exactly the dispersion of free waves in the composite. We also compute the effective properties in the long-wavelength limit and off the dispersion curves, and show that the resultant model satisfy causality, reciprocity and energy conservation. By contrast, we show how equivalent models that neglect the electromomentum coupling violate these physical laws. [-]
Is part of
Wave Motion, Vol. 108, January 2022Funder Name
Israel Science Foundation, Israel Academy of Sciences and Humanities | United States-Israel Binational Science Foundation | Ministry of Science and Technology | Ramón y Cajal fellowship | Ministry of Science, Innovation and Universities
Project code
2061/20 | 2014358 | 880011 | RYC-2016-21188 | RTI2018- 093921-A-C42
Rights
© 2021 Elsevier B.V. All rights reserved.
http://rightsstatements.org/vocab/InC/1.0/
info:eu-repo/semantics/openAccess
http://rightsstatements.org/vocab/InC/1.0/
info:eu-repo/semantics/openAccess
This item appears in the folowing collection(s)
- INIT_Articles [754]