A Stress-Dependent Hysteresis Model for Ferroelectric Materials

Abstract

This paper addresses the development of homogenized energy models which characterize the ferroelastic switching mechanisms inherent to ferroelectric materials in a manner suitable for subsequent transducer and control design. In the first step of the development, we construct Helmholtz and Gibbs energy relations which quantify the potential and electrostatic energy associated with 90 degrees and 180 degrees dipole orientations. Equilibrium relations appropriate for homogeneous materials in the absence or presence of thermal relaxation are respectively determined by minimizing the Gibbs energy or balancing the Gibbs and relative thermal energies using Holtzmann principles. In the final step of the development, stochastic homogenization techniques are employed to construct macroscopic models suitable for nonhomogeneous, polycrystalline compounds. Attributes and limitations of the characterization framework are illustrated through comparison with experimental PLZT data.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2005
Accession Number
ADA440136

Entities

People

  • Brian L. Ball
  • Ralph C. Smith
  • Sang-joo Kim
  • Stefan Seelecke

Organizations

  • North Carolina State University

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Control Systems
  • Crystals
  • Differential Equations
  • Electric Fields
  • Equations
  • Experimental Data
  • Ferroelectric Materials
  • Free Energy
  • Hysteresis
  • Lead Titanates
  • Lead Zirconate Titanates
  • Materials
  • Phase Transformations
  • Piezoelectric Crystals
  • Single Crystals
  • Stress Strain Relations
  • Two Dimensional

Readers

  • Materials Science and Engineering.
  • Theoretical Analysis.