Power dissipation and temperature distribution in piezoelectric ceramic slabs
D Thomas1, D D Ebenezer, Sivakumar M Srinivasan
1Department of Applied Mechanics, Indian Institute of Technology Madras, Chennai 600036, India.
The Journal of the Acoustical Society of America
|October 26, 2010
Summary
This study presents a method to calculate power dissipation and temperature distribution in piezoelectric slabs with internal losses. The findings are crucial for understanding energy conversion efficiency in piezoelectric devices.
Area of Science:
- Solid State Physics
- Materials Science
- Thermodynamics
Background:
- Piezoelectric materials are crucial for energy conversion.
- Internal losses in piezoelectric materials affect their performance.
- Accurate modeling of power dissipation and temperature is essential for device design.
Purpose of the Study:
- To develop a method for determining power dissipation and temperature distribution in one-dimensional piezoelectric slabs with internal losses.
- To analyze the impact of internal losses on energy dissipation and thermal behavior.
- To provide a framework for predicting the thermal performance of piezoelectric devices.
Main Methods:
- Representation of internal losses using complex piezoelectric coefficients.
- Determination of spatially non-uniform power dissipation density via hysteresis loops or Poynting vector.
- Integration of power dissipation density to find total dissipated power.
- Application of the one-dimensional heat equation with conduction, convection, and boundary conditions to determine temperature distribution.
- Utilizing direct integration or a modified Fourier series approach for temperature calculation.
Main Results:
- A method is established to calculate power dissipation density and total power dissipated in piezoelectric slabs.
- The total dissipated power is shown to equal the input power in specific excitation cases.
- Temperature distribution is successfully determined, considering various heat transfer mechanisms and boundary conditions.
- Numerical results demonstrate the influence of internal losses and heat transfer parameters on temperature distribution.
Conclusions:
- The presented method accurately determines power dissipation and temperature distribution in piezoelectric slabs with internal losses.
- The findings offer valuable insights into the thermal management of piezoelectric devices.
- The study provides a basis for optimizing piezoelectric material properties and device designs for improved efficiency and reliability.
