Analysis of a Phononic Crystal Constituted of Piezoelectric Layers Using Electrical Impedance Measurement

Mansoura, S.A.; Maréchal, Pierre; Morvan, Bruno; Dubus, Bertrand

doi:10.1016/j.phpro.2015.08.155

Cited by 9 publications

(5 citation statements)

References 4 publications

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“…The dispersion curves of a (Piezo/passive) PPC have been calculated according to equation (13). Those results have been compared and validated on the basis of the (Pz26/PMMA) PPC configuration depicted in the work of S.A. Mansoura et al [17], in the case of short-circuit load (Z a = 0), and an open-circuit load (Z a = +∞). Following this validation stage, as illustrated in Figure 5, the dispersion curves of (Pz26/PMMA) PPC are studied according to the dynamic resistance of the diode R D connected to the electrodes of the Pz26 plate.…”

Section: Accepted Manuscript 41 Dispersion Curves Of (Pz26/pmma) Ppcmentioning

confidence: 99%

“…They have shown that it is possible to considerably modulate the properties of a PC made up of alternating piezoelectric and elastic layers by modifying the electrical boundary conditions of active inclusions. The case of the connexion of an electrical passive load across the piezoelectric element has been investigated, with an electrical open-circuit or short-circuit by Mansoura et al [16,17] in the case of bulk waves and by C. Vasseur et al [18] in the case of guided waves, and with resistive loads by Airoldi et al [19]. Frequency dependant electrical load have also been investigated with a capacitance by Degraeve et al [20][21][22] and Ponge et al [23,24], with an inductance by Mansoura et al [25], and with a resonant parallel LC load by E.A.…”

Section: Introductionmentioning

confidence: 99%

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Electric control of a phononic crystal constituted of Piezoelectric layers using Schottky diode

Hatoumva¹,

Siryabe²,

Maréchal³

et al. 2022

Smart Mater. Struct.

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A one-dimensional piezoelectric phononic crystal (PPC) consisting of a periodic pattern made of two perfectly bonded materials: one active (piezoelectric), the other passive (elastic) and exhibiting a strong acoustic impedance contrast is studied. We are interested in the tunability of piezoelectric in clusions in order to control the propagation of ultrasonic waves in the MHz range from a nonlinear electrical component connected to the terminals of the piezoelectric elements. After modeling the dynamic resistance of the Schottky diode, based on the piezoelectricity equations, a one-dimensional analytical model is proposed to take into account the resistive impedance effect of this diode connected to the electrodes of the active plate. Thus, we have shown that the application of various electrical boundary conditions (EBCs) on the electrodes (open-circuit, short-circuit, connecting an electrical load) allows to change the effective properties of the piezoelectric plate in particular and those of the PPC in general. The dispersion of the waves is then electrically tuned and, depending on the applied EBCs, we have demonstrated numerically the possibility of opening Bragg or hybridization gaps in the PPC bands structure.

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Section: Accepted Manuscript 41 Dispersion Curves Of (Pz26/pmma) Ppcmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Electric control of a phononic crystal constituted of Piezoelectric layers using Schottky diode

Hatoumva¹,

Siryabe²,

Maréchal³

et al. 2022

Smart Mater. Struct.

View full text Add to dashboard Cite

show abstract

“…The influences of the electrical potential and the incident angle on these wave properties were also investigated. As for the pure longitudinal waves and vibrations along the thickness in finite thickness plates have bounding plane parallel to the layering plane: Mansoura et al [66,67] theoretically and experimentally investigated the electrical impedance of one piezoelectric layer within phononic crystals made of alternating piezoelectric and elastic layers while the other piezoelectric layers were connected to the external circuit including electric-open, electric-short, and external capacitance conditions, which is related to the band structures and transmissions together with the electromechanical coupling. Mansoura et al [68] further verified, by comparing the experimentally measured transmissions with theoretically analyzed dispersion curves, the wave control in phononic piezoelectric elastic crystals through the negative capacitance connected on the electroded faces of piezoelectric layers that broadening band gaps.…”

Section: Introductionmentioning

confidence: 99%

Band Tunability of Coupled Elastic Waves along Thickness in Laminated Anisotropic Piezoelectric Phononic Crystals

Guo

Wang

et al. 2019

Crystals

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Although the passively adjusting and actively tuning of pure longitudinal (primary (P-)) and pure transverse (secondary or shear (S-)) waves band structures in periodically laminated piezoelectric composites have been studied, the actively tuning of coupled elastic waves (such as P-SV, P-SH, SV-SH, and P-SV-SH waves), particularly as the coupling of wave modes is attributed to the material anisotropy, in these phononic crystals remains an untouched topic. This paper presents the analytical matrix method for solving the dispersion characteristics of coupled elastic waves along the thickness direction in periodically multilayered piezoelectric composites consisting of arbitrarily anisotropic materials and applied by four kinds of electrical boundaries. By switching among these four electrical boundaries—the electric-open, the external capacitance, the electric-short, and the external feedback control—and by altering the capacitance/gain coefficient in cases of the external capacitance/feedback-voltage boundaries, the tunability of the band properties of the coupled elastic waves along layering thickness in the concerned phononic multilayered crystals are investigated. First, the state space formalism is introduced to describe the three-dimensional elastodynamics of arbitrarily anisotropic elastic and piezoelectric layers. Second, based on the traveling wave solutions to the state vectors of all constituent layers in the unit cell, the transfer matrix method is used to derive the dispersion equation of characteristic coupled elastic waves in the whole periodically laminated anisotropic piezoelectric composites. Finally, the numerical examples are provided to demonstrate the dispersion properties of the coupled elastic waves, with their dependence on the anisotropy of piezoelectric constituent layers being emphasized. The influences of the electrical boundaries and the electrode thickness on the band structures of various kinds of coupled elastic waves are also studied through numerical examples. One main finding is that the frequencies corresponding to (with the dimensionless characteristic wavenumber) are not always the demarcation between pass-bands and stop-bands for coupled elastic waves, although they are definitely the demarcation for pure P- and S-waves. The other main finding is that the coupled elastic waves are more sensitive to, if they are affected by, the electrical boundaries than the pure P- and S-wave modes, so that higher tunability efficiency should be achieved if coupled elastic waves instead of pure waves are exploited.

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“…Besides the above-mentioned three introduced materials, another smart material, which is the fourth introduced material, is the piezoelectric material, which is also dependent on electric fields like the dielectric elastomer, which has been extensively used in periodically laminated structures, i.e., one-dimensional (1D) piezoelectric layered phononic crystals. Because the electrical field is relatively easy to control and the piezoelectric effect is linear coupling between the electrical and mechanical fields, the elastic wave propagation and its tuning by the electrical conditions in periodically laminated piezoelectric composites have received extensive attention during the last two decades [29][30][31][32][33][34][35][36][37][38][39][40][41][42][43][44][45][46][47][48]. The earlier literatures on this topic only considered the relatively simple electrical boundaries, i.e., the electric-open and electric-short conditions.…”

Section: Introductionmentioning

confidence: 99%

“…These introduced tunable components contain electrical impedance, capacitance, voltage, and inductance. By adopting the electrical impedance condition, Mansoura et al [40,41] investigated theoretically and experimentally the bandgap control of elastic waves perpendicular to the layers and found that the change of electric impedance can be used to obviously modify the band structure and acoustic transmission. When considering the applied capacitance, Mansoura et al [42] also proposed the use of negative capacitance values to achieve unusual band properties.…”

Section: Introductionmentioning

confidence: 99%

Band Structures Analysis of Elastic Waves Propagating along Thickness Direction in Periodically Laminated Piezoelectric Composites

Guo

Wang

et al. 2018

Crystals

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Existing studies on elastic waves in periodically laminated piezoelectric structures mainly concerned the passive band properties, since the electrical boundaries in the considered structures cannot vary. This paper investigates the tuning of band properties of uncoupled primary and shear (P- and S-) waves along the thickness direction by actively varying the electrical field in periodically multilayered piezoelectric structures consisting of orthotropic materials. The alteration of the electrical field is realized in the multilayered unit cell here by either applying or switching four kinds of electrical boundary conditions, including the electric-open, applied electric capacitance, electric-short, and applied feedback voltage, to the constituent piezoelectric layer via the constituent electrode layers covering both its surfaces. First, the state space formalism is introduced to obtain the partial wave solution of any constituent orthotropic layer in the unit cell. Second, the traditional transfer matrix method is adopted to derive the dispersion equation of general, periodically laminated piezoelectric composites with unit cells consisting of an arbitrary number of piezoelectric layers with various boundaries and of elastic layers. Third, numerical examples are provided to verify the proposed analysis method, and to study the influences of electrode thickness as well as four electrical boundaries on the band structures. All the frequency-related dispersion curves are also illustrated by numerical examples to summarize the general dispersion characteristics of uncoupled P- and S-waves in periodically laminated piezoelectric composites. The main finding is that the innovative dispersion characteristic resulting from the negative capacitance may also be achieved via feedback control.

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Analysis of a Phononic Crystal Constituted of Piezoelectric Layers Using Electrical Impedance Measurement

Cited by 9 publications

References 4 publications

Electric control of a phononic crystal constituted of Piezoelectric layers using Schottky diode

Electric control of a phononic crystal constituted of Piezoelectric layers using Schottky diode

Band Tunability of Coupled Elastic Waves along Thickness in Laminated Anisotropic Piezoelectric Phononic Crystals

Band Structures Analysis of Elastic Waves Propagating along Thickness Direction in Periodically Laminated Piezoelectric Composites

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