2018
DOI: 10.1109/tuffc.2018.2844183
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Constitutive Equations of Piezoelectric Layered Beams With Interdigitated Electrodes

Abstract: This paper establishes the constitutive equations, or linear two-port models, of piezoelectric layered beams with interdigital electrodes (IDEs). The effect of the nontrivial field on the transduction is analyzed. Based on conformal mapping techniques, we derive new analytic expressions for the capacitance, the electric field, and the electromechanical coupling factor of an anisotropic dielectric with the IDE configuration on top. The IDE capacitance with an anisotropic permittivity can be treated as the one w… Show more

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Cited by 8 publications
(7 citation statements)
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“…In a more general case, C st has a different contribution due to electrodes (which typically are placed horizontally on top) and also due to busbars and contact pads. The best option to estimate C st is to use FEM, even though there are some elaborated formulas that could be also used [14,15]. Indeed, in the actual case since the electrodes are placed on top of the layers, both C piezo and C st are affected.…”
Section: Fig 1 (A) Transversely and (B) Laterally Excited Membrane Resonators (C) Studied Geometry Of Main Piezoelectric Layer With Two Dmentioning
confidence: 99%
“…In a more general case, C st has a different contribution due to electrodes (which typically are placed horizontally on top) and also due to busbars and contact pads. The best option to estimate C st is to use FEM, even though there are some elaborated formulas that could be also used [14,15]. Indeed, in the actual case since the electrodes are placed on top of the layers, both C piezo and C st are affected.…”
Section: Fig 1 (A) Transversely and (B) Laterally Excited Membrane Resonators (C) Studied Geometry Of Main Piezoelectric Layer With Two Dmentioning
confidence: 99%
“…By varying the shapes and dimensions of the membrane, such as the thickness and size, different performance outputs can be obtained. Additionally, the choice of material selected as the membrane also affects the performance of a PMUT due to the acoustic strain relationship, which is determined by the piezoelectric constant [ 13 , 14 ]. Common piezoelectric materials such as zinc oxide (ZnO), lead zirconate titanate (PZT), and aluminum nitrate (AlN) are among the prevalent membrane materials, having different coupling coefficients and dielectric constants, which can be manipulated to produce different performance results [ 4 , 8 , 13 , 14 ].…”
Section: Introductionmentioning
confidence: 99%
“…Additionally, the choice of material selected as the membrane also affects the performance of a PMUT due to the acoustic strain relationship, which is determined by the piezoelectric constant [ 13 , 14 ]. Common piezoelectric materials such as zinc oxide (ZnO), lead zirconate titanate (PZT), and aluminum nitrate (AlN) are among the prevalent membrane materials, having different coupling coefficients and dielectric constants, which can be manipulated to produce different performance results [ 4 , 8 , 13 , 14 ]. The selection of different membrane shapes, dimension sizes, and suitable materials depends on the complexity of the process and the fabrication technique, as well as the available facilities.…”
Section: Introductionmentioning
confidence: 99%
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“…Nguyen et al [75] have developed the constitutive equations for two types of piezoelectric harvesters, 31-mode by the top and bottom electrodes (TBE) and 33mode by interdigitated electrodes (IDE).…”
Section: Constitutive Equations For Piezoelectric Materialsmentioning
confidence: 99%