A FEM-based method to determine the complex material properties of piezoelectric disks

Pérez, Nicolás; Carbonari, Ronny Calixto; Andrade, Marco A. B.; Buiochi, Flávio; Adamowski, Júlio C.

doi:10.1016/j.ultras.2014.03.006

Cited by 33 publications

(51 citation statements)

References 21 publications

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“…After this first condition, the optimization methodology presented in [6,7] was used. Although there may be more efficient solutions, the methodology based in the Nelder-Mead algorithm [20] is generally robust and easy to implement, which are reasons why it was selected here.…”

Section: Methodsmentioning

confidence: 99%

“…After performing a convergence analysis, the element size is fixed in 10 µm, giving 40 elements for one wave length in the thickness mode frequency. Additional details about the implementation of the methodology and the FEM code are in the work of Perez et al [6,21].This is suitable for this case when we are looking for the simultaneous evolution of the parameters as a function of the temperature including the coupled modes. There are different ways to express the constitutive equations, here we use the method adopted by the IEEE standard [5].…”

Section: Methodsmentioning

confidence: 99%

“…Here the classical local sensitivity analysis is used as proposed by Perez et al [6,7,21]. A global sensitivity analysis [22] is not necessary for the actual purposes.…”

Section: Methodsmentioning

confidence: 99%

“…Sometimes, it is necessary to identify a resonant peak, in this case the electric conductance G(ω) presents a maximum when the electric power consumed by the sample is maximum, G(ω) is the real part of the admittance. For the anti-resonance frequency, the real part of the impedance R(ω) can be used [6].…”

Section: Introductionmentioning

confidence: 99%

“…This sample is thermally depolarized, producing changes in the resonance spectrum as a function of temperature. One alternative to do that is using an iterative methodology based in finite-element method (FEM) simulation [6][7][8]. The use of FEM based minimization techniques to obtain the parameters in the piezoelectric models was successfully implemented by several groups in recent years [9][10][11].…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Electromechanical Anisotropy at the Ferroelectric to Relaxor Transition of (Bi0.5Na0.5)0.94Ba0.06TiO3 Ceramics from the Thermal Evolution of Resonance Curves

et al. 2018

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(Bi 0.5 Na 0.5 ) 0.94 Ba 0.06 TiO 3 dense ceramics were obtained from autocombustion sol-gel synthesized nanopowders and sintered at 1050 • C for 1-2 h for the study of the electromechanical anisotropy. Measurement of the complex impedance spectrum was carried out on thin ceramic disks, thickness-poled, as a function of the temperature from 16 • C up to the vanishing of the electromechanical resonances at the ferroelectric to relaxor transition near 100 • C. The spectrum comprises the fundamental radial extensional mode and three overtones of this, together with the fundamental thickness extensional mode, coupled with other complex modes. Thermal evolution of the spectrum shows anisotropic behavior. Piezoelectric, elastic, and dielectric material coefficients, including all losses, were determined from iterative analysis of the complex impedance curves at the planar, thickness, and shear virtually monomodal resonances of disks and shear plates, thickness-poled. d 33 was measured quasi-statically at 100 Hz. This set of data was used as the initial condition for the optimization of the numerical calculation by finite elements of the full spectrum of the disk, from 100 kHz to 1.9 MHz, to determine the thermal evolution of the material coefficients. An appropriate measurement strategy to study electromechanical anisotropy of piezoelectric ceramics has been developed.

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Section: Methodsmentioning

confidence: 99%

Section: Methodsmentioning

confidence: 99%

“…Here the classical local sensitivity analysis is used as proposed by Perez et al [6,7,21]. A global sensitivity analysis [22] is not necessary for the actual purposes.…”

Section: Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Electromechanical Anisotropy at the Ferroelectric to Relaxor Transition of (Bi0.5Na0.5)0.94Ba0.06TiO3 Ceramics from the Thermal Evolution of Resonance Curves

et al. 2018

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show abstract

Two‐dimensional Green's function solution for a tangential line force buried in the three‐phase orthotropic piezoelectric structure

et al. 2019

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Piezoelectric materials, as functional material, are widely used in electronic devices, such as piezoelectric sensors, piezoelectric energy harvester and piezoelectric actuators. In some electronic devices, piezoelectric materials are placed between two substrates in the form of thin sheet. Therefore, this kind of piezoelectric structure is simplified into a three‐phase orthotropic piezoelectric structure which consists of an infinite piezoelectric plate and two semi‐infinite bodies in this paper. In this case, the Green's function solution for a tangential line force buried in the three‐phase orthotropic piezoelectric structure is deduced. Based on this solution, the accurate electro‐elastic fields of the three‐phase orthotropic piezoelectric structure are given. And some numerical examples are designed to investigate the effects of various material properties of the piezoelectric plate or the substrates on the stresses at interfaces and the electric potential difference between interfaces of piezoelectric plate.

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The mechanism of loss in the impedance spectrum of longitudinal piezoelectric oscillator

Wang,

Tian,

Xiao

et al. 2024

J Mater Sci: Mater Electron

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A FEM-based method to determine the complex material properties of piezoelectric disks

Cited by 33 publications

References 21 publications

Electromechanical Anisotropy at the Ferroelectric to Relaxor Transition of (Bi0.5Na0.5)0.94Ba0.06TiO3 Ceramics from the Thermal Evolution of Resonance Curves

Electromechanical Anisotropy at the Ferroelectric to Relaxor Transition of (Bi0.5Na0.5)0.94Ba0.06TiO3 Ceramics from the Thermal Evolution of Resonance Curves

Two‐dimensional Green's function solution for a tangential line force buried in the three‐phase orthotropic piezoelectric structure

The mechanism of loss in the impedance spectrum of longitudinal piezoelectric oscillator

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