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Related Experiment Videos

Two-dimensional equations for electroelastic plates with relatively large shear deformations.

Jiashi S Yang1, Xiaomeng Yang, Joseph A Turner

  • 1Department of Engineering Mechanics, University of Nebraska, Lincoln, NE 68588-0526, USA. jyang1@unl.edu

IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control
|August 5, 2003
PubMed
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Researchers derived nonlinear equations for electroelastic plates, revealing thickness-shear vibration behaviors. These findings aid in designing piezoelectric resonators and measuring material properties.

Area of Science:

  • Nonlinear continuum mechanics
  • Solid-state physics
  • Materials science

Background:

  • Nonlinear electroelasticity governs the behavior of piezoelectric materials under large deformations.
  • Understanding thickness-shear vibrations is crucial for designing resonant devices.
  • Existing models may not fully capture nonlinear effects in moderately large deformations.

Purpose of the Study:

  • To derive two-dimensional nonlinear equations for electroelastic plates undergoing moderately large thickness-shear deformations.
  • To analyze the nonlinear thickness-shear vibrations of a quartz plate driven by an electrical voltage.
  • To investigate the nonlinear electrical current amplitude-frequency behavior near resonance.

Main Methods:

  • Variational formulation of three-dimensional nonlinear electroelasticity equations.

Related Experiment Videos

  • Expansion of mechanical displacement and electric potential into power series in the plate thickness coordinate.
  • Application of derived equations to a quartz plate model.

    • Main Results:

    • A set of two-dimensional nonlinear equations for electroelastic plates was successfully obtained.
    • Nonlinear thickness-shear vibrations of a quartz plate were analyzed.
    • Nonlinear electrical current amplitude-frequency response near resonance was characterized.

    Conclusions:

    • The derived equations provide a robust framework for studying nonlinear electroelastic plate behavior.
    • The results are valuable for the design of piezoelectric crystal resonators.
    • The study facilitates the measurement of nonlinear material constants in electroelastic materials.