Modelling Propagating Bloch Waves in Magnetoelectroelastic Phononic Structures with Kagomé Lattice Using the Improved Plane Wave Expansion

Edson Jansen Pedrosa de Miranda; Samuel Filgueiras Rodrigues; Clodualdo Aranas; Hélio Vitor Cantanhêde da Silva; Eden Santos Silva; Gedeon Silva Reis; Antônio Ernandes Macedo Paiva; José Maria Campos Dos Santos

doi:10.3390/cryst10070586

Crystals (Jul 2020)

Modelling Propagating Bloch Waves in Magnetoelectroelastic Phononic Structures with Kagomé Lattice Using the Improved Plane Wave Expansion

Edson Jansen Pedrosa de Miranda,
Samuel Filgueiras Rodrigues,
Clodualdo Aranas,
Hélio Vitor Cantanhêde da Silva,
Eden Santos Silva,
Gedeon Silva Reis,
Antônio Ernandes Macedo Paiva,
José Maria Campos Dos Santos

Affiliations

Edson Jansen Pedrosa de Miranda: Federal Institute of Maranhão, IFMA-EIB-DE, Rua Afonso Pena, 174, São Luís CEP 65010-030, Brazil
Samuel Filgueiras Rodrigues: Federal Institute of Maranhão, IFMA-PPGEM, Avenida Getúlio Vargas, 4, São Luís CEP 65030-005, Brazil
Clodualdo Aranas: Department of Mechanical Engineering, University of New Brunswick, Fredericton, NB E3B 5A3, Canada
Hélio Vitor Cantanhêde da Silva: Faculty of Mechanical Engineering, University of Campinas, UNICAMP-FEM-DMC, Rua Mendeleyev, 200, Campinas CEP 13083-860, Brazil
Eden Santos Silva: Federal Institute of Maranhão, IFMA-PPGEM, Avenida Getúlio Vargas, 4, São Luís CEP 65030-005, Brazil
Gedeon Silva Reis: Federal Institute of Maranhão, IFMA-PPGEM, Avenida Getúlio Vargas, 4, São Luís CEP 65030-005, Brazil
Antônio Ernandes Macedo Paiva: Federal Institute of Maranhão, IFMA-PPGEM, Avenida Getúlio Vargas, 4, São Luís CEP 65030-005, Brazil
José Maria Campos Dos Santos: Faculty of Mechanical Engineering, University of Campinas, UNICAMP-FEM-DMC, Rua Mendeleyev, 200, Campinas CEP 13083-860, Brazil

DOI: https://doi.org/10.3390/cryst10070586
Journal volume & issue: Vol. 10, no. 7
p. 586

Abstract

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We studied the dispersion diagram of a 2D magnetoelectroelastic phononic crystal (MPnC) with Kagomé lattice. The MPnC is composed of BaTiO3–CoFe2O4 circular scatterers embedded in a polymeric matrix. The improved plane wave expansion (IPWE) approach was used to calculate the dispersion diagram (only propagating modes) of the MPnC considering the classical elasticity theory, solid with transverse isotropy and wave propagation in the xy plane. Complete Bragg-type forbidden bands were observed for XY and Z modes. The piezoelectric and the piezomagnetic effects significantly influenced the forbidden band widths and localizations. This investigation can be valuable for elastic wave manipulation using smart phononic crystals with piezoelectric and piezomagnetic effects.

Published in Crystals

ISSN: 2073-4352 (Online)
Publisher: MDPI AG
Country of publisher: Switzerland
LCC subjects: Science: Chemistry: Crystallography
Website: http://www.mdpi.com/journal/crystals/

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