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

Miranda, Edson Jansen Pedrosa de; Rodrigues, Samuel Filgueiras; Aranas, Clodualdo; Silva, Hélio Vitor Cantanhêde da; Silva, Eden Santos; Reis, Gedeon Silva; Paiva, António; Santos, José Maria Campos dos

doi:10.3390/cryst10070586

Cited by 11 publications

(9 citation statements)

References 22 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The improved plane wave expansion (IPWE) method [18,[27][28][29] is used to compute the dispersion diagram of the 1-3 PPnS with trigonal Langasite cylindrical inclusions in a square lattice (see Figure 1). inclusions in a polymeric matrix is reported for the first time, to the best of our knowledge.…”

Section: Langasite Phononic Structure Modellingmentioning

confidence: 99%

See 1 more Smart Citation

Dispersion Diagram of Trigonal Piezoelectric Phononic Structures with Langasite Inclusions

et al. 2021

Self Cite

View full text Add to dashboard Cite

The dispersion relation of elastic Bloch waves in 1-3 piezoelectric phononic structures (PPnSs) with Langasite (La3Ga5SiO14) inclusions in a polymeric matrix is reported. Langasite presents promising material properties, for instance good temperature behaviour, high piezoelectric coupling, low acoustic loss and high quality factor. Furthermore, Langasite belongs to the point group 32 and has a trigonal structure. Thus, the 2-D bulk wave propagation in periodic systems with Langasite inclusions cannot be decoupled into XY and Z modes. The improved plane wave expansion (IPWE) is used to obtain the dispersion diagram of the bulk Bloch waves in 1-3 PPnSs considering the classical elasticity theory and D3 symmetry. Full band gaps are obtained for a broad range of frequency. The piezoelectricity enhances significantly the band gap widths and opens up a narrow band gap in lower frequencies for a filling fraction of 0.5. This study should be useful for surface acoustic wave (SAW) filter and 1-3 piezocomposite transducer design using PPnSs with Langasite.

show abstract

Section: Langasite Phononic Structure Modellingmentioning

confidence: 99%

“…Moreover, the disk-shaped inclusion geometry presents promising properties [11]. There are also the smart PnSs which exploit the piezoelectricity [12][13][14], piezomagnetism [15] or both [16][17][18] for mechanical wave manipulation. In this context, the PnSs have also been proposed for transducer design [19,20].…”

Section: Introductionmentioning

confidence: 99%

Dispersion Diagram of Trigonal Piezoelectric Phononic Structures with Langasite Inclusions

et al. 2021

Self Cite

View full text Add to dashboard Cite

show abstract

“…Magneto-electro-elastic (MEE) materials, which can achieve the conversion between electrical and magnetic energy due to the coupled e ect between electric and magnetic elds, have permeated every aspect of the modern technology. is feature promotes the wide application of the MEE in many elds of science and engineering [1][2][3], for example, sensors [4], smart devices [5], and nondestructive evaluation [6], which are closely related to the knowledge of wave propagation. Various techniques related to the wave propagation in MEE structures were developed by numerous scholars.…”

Section: Introductionmentioning

confidence: 99%

“…e localization factors and dispersion curves were computed using the transfer matrix method. Recently, the band structure and evanescent behavior of Bloch waves in periodic MEE structures were investigated by applying extended plane-wave expansion method and Bloch's theory [1][2][3].…”

Section: Introductionmentioning

confidence: 99%

A Generalized Method for Dispersion Analysis of Guided Waves in Multilayered Anisotropic Magneto-Electro-Elastic Structures

Zhang¹,

Gao

2022

Shock and Vibration

View full text Add to dashboard Cite

Based on the symplectic structure of the Hamiltonian matrix, the precise integration method (PIM), and the Wittrick–Williams (W-W) algorithm, a generalized method for computing the dispersion curves of guided waves in multilayered anisotropic magneto-electro-elastic (MEE) structures for different types of mechanical, electrical, and magnetical boundaries is developed. A strictly theoretical analysis shows that the W-W algorithm cannot be applied directly to the MEE structure. This is because a block of the Hamiltonian matrix is not positive definite for MEE structures so that the eigenvalue count of the sublayer is not zero when the divided sublayer is sufficiently thin. To overcome this difficulty, based on the symplectic structure of the Hamiltonian matrix, a symplectic transformation is introduced to ensure that the W-W algorithm can be applied conveniently to solve wave propagation problems in multilayered anisotropic MEE structures. The application of the PIM based on the mixed energy matrix to solve the wave equation can ensure the stability and efficiency of the method, and all eigenfrequencies are found without the possibility of any being missed using the W-W algorithm. This research provides the necessary insight to apply the W-W algorithm in wave propagation and vibration problems of MEE structures.

show abstract

“…This feature promotes the wide application of the MEE in many fields of science and engineering, e.g., sensors [11], smart devices [12] and nondestructive evaluation [13], which are closely related to the knowledge of wave propagation. Various analytical and numerical techniques related to wave propagation in MEE structures were developed by numerous scholars [14][15][16][17][18]. However, few studies have focused on MEE piezoelectric phononic crystals.…”

Section: Introductionmentioning

confidence: 99%

Theoretical Investigation of Magneto-Electro-Elastic Piezoelectric Phononic Crystal

et al. 2022

View full text Add to dashboard Cite

We design a magneto-electro-elastic piezoelectric phononic crystal (MPPC) using a one-dimensional piezoelectric superlattice (with a 3m point group) and split-ring resonators. The effect of the split-ring resonators is to enhance the piezoelectric effect of the piezoelectric superlattices. This effect will create elastic anomalies and generate the phononic band gaps. These are first proposed theoretically. We calculate the transmission function of the MPPC through Transfer Matrix Method of the phononic crystal. By using the transmission function, we theoretically study the propagation properties of the acoustic waves in the MPPC. The mechanism for multifield coupling is analyzed. A type of phononic band gap is created, called the multifield coupling phononic band gap. We analyze the possibility of crystals as left-handed metamaterials. We also discuss some potential applications.

show abstract

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

Cited by 11 publications

References 22 publications

Dispersion Diagram of Trigonal Piezoelectric Phononic Structures with Langasite Inclusions

Dispersion Diagram of Trigonal Piezoelectric Phononic Structures with Langasite Inclusions

A Generalized Method for Dispersion Analysis of Guided Waves in Multilayered Anisotropic Magneto-Electro-Elastic Structures

Theoretical Investigation of Magneto-Electro-Elastic Piezoelectric Phononic Crystal

Contact Info

Product

Resources

About