Abstract
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.
Highlights
In the early nineties, phononic crystals (PnCs) were theoretically proposed [1,2]
This is mainly associated with the higher convergence of improved plane wave expansion (IPWE) method and the correct expressions of reciprocal lattice vector and structure function for Kagomé lattice
Piezoelectricity and piezomagnetism (b) are different from the results of Wang et al [11]
Summary
Phononic crystals (PnCs) were theoretically proposed [1,2]. The new characteristics of the PnCs emerged mainly from the possibility of opening up Bragg-type forbidden bands, known as band gaps. This enhancement important to obtain the correct dispersion diagrams the MPnC with Kagomé it presents important characteristics, for instance, periodic collapse modes [16], isostatic modes [17], lattice and to show the importance of considering IPWE for complex periodic systems. Floppy modes [18],was topologically [19], and both topologically protected bands the Kagomé lattice chosen in protected this studyedge sincewaves it presents important characteristics, for instance, as well collapse as non-dispersing or flat modes bands [17], In this context, the main objective ofedge this periodic modes [16], isostatic modes [18], topologically protected communication wastopologically to study the dispersion a 2D MPnC or with a Kagomé lattice waves [19], and both protected bandsdiagram as well asofnon-dispersing flat bands [20]. Complete Bragg-type forbidden bands for effects onofthe dispersion in plane and out of plane vibrations are reported
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