Homogenization of periodic 1-3 piezocomposite using wave propagation: Toward an experimental method
Antoine Balé1, Rémi Rouffaud1, Franck Levassort1
1Groupe de Recherche En Matériaux Microélectronique Acoustique et Nanotechnologies, Unité Mixte de Recherche 7347, University of Tours, Centre National de la Recherche Scientifique, Institut National des Sciences - Appliquées Centre-Val-de-Loire, Tours, 37100, France.
The Journal of the Acoustical Society of America
|July 9, 2021
Summary
This study presents a homogenization scheme to determine effective electroelastic parameters for 1-3 piezocomposites. The method simplifies ultrasonic transducer design by treating these materials as homogeneous, achieving high accuracy.
Area of Science:
- Materials Science
- Acoustics
- Piezoelectricity
Background:
- 1-3 piezocomposites are crucial for ultrasonic transducers due to their electromechanical properties.
- Accurate material parameters are essential for simplifying transducer design and numerical analysis.
Purpose of the Study:
- To develop and validate a homogenization scheme for determining effective electroelastic parameters of 1-3 piezocomposites.
- To enable the treatment of piezocomposites as homogeneous materials for simplified transducer design.
Main Methods:
- Acoustic wave propagation analysis in an infinite, homogenized piezocomposite.
- Finite Element Method (FEM) simulations for heterogeneous structures to obtain numerical slowness curves.
- Fitting process comparing theoretical and numerical slowness curves to identify effective parameters.
- Validation against a fast Fourier transform (FFT) based method for periodic materials.
Main Results:
- The proposed homogenization scheme accurately determines effective electroelastic parameters.
- A relative error of less than 2% was achieved for most coefficients when compared to reference methods.
- A simplified experimental procedure requires only seven slowness directions for complete parameter determination.
Conclusions:
- The homogenization scheme provides a reliable method for characterizing 1-3 piezocomposites.
- The approach simplifies ultrasonic transducer design by enabling effective homogeneous material representation.
- The study offers a pathway for experimental determination of these crucial material parameters.
