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A full 3D plane-wave-expansion model for 1-3 piezoelectric composite structures
Mikaël Wilm1, Sylvain Ballandras, Vincent Laude
1Laboratoire de Physique et Métrologie des Oscillateurs/CNRS UPR 3203, associé a l'Université de Franche-Comté, Besançon, France.
The Journal of the Acoustical Society of America
|September 24, 2002
Summary
The plane-wave-expansion approach now simulates piezoelectric composites, accounting for losses and electrical conditions. This enhanced model provides accurate electromechanical responses for periodic piezoelectric devices.
Area of Science:
- Materials Science
- Solid State Physics
- Acoustics
Background:
- Periodic devices require accurate simulation methods.
- Piezoelectric composites offer unique electromechanical properties.
- Existing models may not fully capture complex piezoelectric behaviors.
Purpose of the Study:
- Extend the plane-wave-expansion (PWE) approach for simulating 1-3 connectivity piezoelectric composite structures.
- Rigorously incorporate piezoelectricity, acoustic losses, and electrical excitation.
- Provide a validated model for analyzing these advanced materials.
Main Methods:
- Utilized a bidimensional Fourier series for material distribution representation.
- Employed Bloch-Floquet expansion for electromechanical response simulation.
- Applied the Fahmy-Adler formulation of the Christoffel problem.
Main Results:
- Successfully extended the PWE approach to 1-3 connectivity piezoelectric composites.
- Demonstrated rigorous inclusion of piezoelectricity, acoustic losses, and electrical conditions.
- Model's application to specific composite structures was reported.
Conclusions:
- The enhanced PWE model accurately simulates complex piezoelectric composite structures.
- This approach provides a robust tool for the design and analysis of piezoelectric devices.
- The findings align with and extend previous research in the field.