Study by laser interferometry of the resonance modes of the shear plate used in the standards characterization of piezoceramics

Pardo, L.; Espinosa, F. Montero de; Brebøl, Klaus

doi:10.1007/s10832-007-9052-3

Cited by 13 publications

(8 citation statements)

References 6 publications

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“…Such spurious resonances were generally, and erroneously according to the FEA results, associated to microstructural or poling inhomogeneities of the piezoceramic. The dynamical clamping of the Standard shear sample, that was previously suggested by other authors [25], is revealed by FEA modelling [23] and has also been verified by laser interferometry measurements [26]. This finding also helped to explain why the use of the Standard shear geometry led to underestimation of the shear piezoelectric coefficients.…”

Section: Introductionsupporting

confidence: 67%

A non-Standard shear resonator for the matrix characterization of piezoceramics and its validation study by finite element analysis

Pardo¹,

Algueró²,

Brebøl³

2007

J. Phys. D: Appl. Phys.

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Standard shear samples used for piezoceramic characterization lead to underestimation of the piezoelectric shear coefficients due to its dynamical clamping at resonance. This work presents the application of Alemany et al.´s automatic iterative method to the resonance of a non-Standard shear sample, in order to determine the related complex parameters of piezoceramics, thus including losses, from impedance measurements. The matrix of dielectric, elastic and piezoelectric complex parameters that fully characterize a piezoceramic, a 6mm symmetry material, can be obtained from such shear data combined with the application of the method to three other electromechanical resonances, namely: the length extensional mode of long rods or rectangular bars, length poled; the thickness extensional mode of a thin plate or disk, thickness poled, and the radial mode of a thin disk, thickness poled. Shear results are here obtained for non-Standard samples of a commercial Navy type II piezoceramic, solving the underestimation of the coefficients in the Standard shear sample and allowing the improvement of the previously reported characteristic matrix from Standard samples. Three-dimensional Finite Element Analysis (FEA) modelling of the resonances of the three material samples used in the matrix characterization was here accomplished using the improved matrix of dielectric elastic and piezoelectric material coefficients including all losses. The comparison of the experimental resonance spectra of this piezoceramic samples and the FEA results obtained for the elastically, dielectrically and piezoelectrically homogeneous items modelled is here presented and discussed.

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Section: Introductionsupporting

confidence: 67%

A non-Standard shear resonator for the matrix characterization of piezoceramics and its validation study by finite element analysis

Pardo¹,

Algueró²,

Brebøl³

2007

J. Phys. D: Appl. Phys.

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“…3-right). Measurements of normal displacement to the surface of the Standard shear resonator by laser interferometry have confirmed that the modes of motion of the Standard shear sample are a composition of plane waves and the inhomogeneous shear displacement [34]. These results also reveal the dynamical clamping as the source of the underestimation of the material parameters when using Standard shear items.…”

Section: Matrix Characterization Of Piezoceramics Using Non-standard mentioning

confidence: 63%

Iterative Method in the Characterization of Piezoceramics of Industrial Interest

Pardo

Algueró

Brebøl³

2006

Advances in Science and Technology

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Although characterization of piezoceramics from resonance is a customary technique, the works dealing with the determination of the ten elastic, dielectric and piezoelectric coefficients that are needed in the full matrix characterization of such 6mm symmetry materials are rather scarce. Even more, if the complex characterization is foreseen, thus accounting with the three types of losses, few are the methods avaliable to obtain the material linear coefficients. This work deals with such complex characterization by the use of Alemany et al. automatic iterative method. This method has been applied to the four modes of resonance that are sufficient for the purpose: (1) the length extensional mode of long rods, length poled, (2) the thickness extensional mode and (3) the radial mode of a thin disk, thickness poled, and (4) the thickness shear mode of a thin plate. Recent work of the authors has shown the limits in characterizing materials that arise from the use of the Standard shear geometry and, therefore, and alternative geometry is used here. This work presents the matrix characterization of some piezoceramics and the Finite Element Analysis (FEA) simulation based on such characterization, of the samples used as a reliability criteria of the results obtained by comparison of the experimental and simulated values at resonance of the electrical parameters.

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“…On the one hand, longitudinal poling is a problem when dealing with materials of a high coercive field [ 11 ] or low dielectric breakdown [ 12 ]. On the other hand, the coupling of shear modes and other lateral and contour modes, which takes place in the shear resonance of standard length-poled shear plates, is unavoidable [ 3 , 4 , 13 , 14 ]. Unfortunately, this leads to the stringent requirement of aspect ratios between the length for poling ( L ), the width ( w ), and the thickness for electrical excitation ( t ) of the plate of L , w > 20 t [ 15 ] and to an underestimation of the piezoelectric coefficients [ 13 ].…”

Section: Introductionmentioning

confidence: 99%

Determination of the PIC700 Ceramic’s Complex Piezo-Dielectric and Elastic Matrices from Manageable Aspect Ratio Resonators

Pardo

García

Schubert³

et al. 2021

Materials

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Achieving good piezoelectric properties, such as the widely reported d33 charge coefficient, is a good starting point in establishing the potential applicability of piezoceramics. However, piezoceramics are only completely characterized by consistent piezoelectric-elastic-dielectric material coefficient matrices in complex form, i.e., including all losses. These matrices, which define the various alternative forms of the constitutive equations of piezoelectricity, are required for reliable virtual prototyping in the design of new devices. To meet this need, ten precise and accurate piezoelectric dielectric and elastic coefficients of the material, including all losses, must be determined for each alternative. Due to the difficulties arising from the coupling of modes when using the resonance method, this complete set of parameters is scarcely reported. Bi0.5Na0.5TiO3-based solid solutions are already commercially available in Europe and Japan. Here, we report a case study of the determination of these sets of material coefficients (diα, giα, eiα and hiα; sE,Dαβ and cE,Dαβ; εTik and εSik; and βTik and βSik), including all losses, of the commercial PIC700 eco-piezoceramic. Plate, disk, and cylinder ceramic resonators of a manageable aspect ratio were used to obtain all the material coefficients. The validation procedure of the matrices is also given by FEA modeling of the considered resonators.

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Study by laser interferometry of the resonance modes of the shear plate used in the standards characterization of piezoceramics

Cited by 13 publications

References 6 publications

A non-Standard shear resonator for the matrix characterization of piezoceramics and its validation study by finite element analysis

A non-Standard shear resonator for the matrix characterization of piezoceramics and its validation study by finite element analysis

Iterative Method in the Characterization of Piezoceramics of Industrial Interest

Determination of the PIC700 Ceramic’s Complex Piezo-Dielectric and Elastic Matrices from Manageable Aspect Ratio Resonators

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