A stress-dependent hysteresis model for PZT

Brian L. Ball, Ralph C. Smith, Sang Joo Kim, Stefan Seelecke

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review


This paper addresses the development of an energy-based characterization framework which quantifies stress-induced dipole switching in ferroelectric materials. Helmholtz and Gibbs energy relations that accommodate 90° and 180° dipole orientations as equilibrium states are constructed at the lattice level. For regimes in which thermal relaxation mechanisms are negligible, minimization of the Gibbs relations provides local polarization and strain relations. Alternatively, behavior such as creep or thermal relaxation can be incorporated by balancing Gibbs and relative thermal energies through Boltzmann principles. In the final step of the development, stochastic homogenization techniques based on the assumption that parameters such as coercive and induced fields are manifestations of underlying distributions are employed to construct macroscopic models suitable for nonhomogeneous polycrystalline compounds. Attributes and limitations of the model are illustrated through comparison with experimental PLZT data.

Original languageEnglish
Title of host publicationCoupled Nonlinear Phenomena
Subtitle of host publicationModeling and Simulation for Smart, Ferroic, and Multiferroic Materials
PublisherMaterials Research Society
Number of pages11
ISBN (Print)1558998357, 9781558998353
StatePublished - 2005
Event2005 MRS Spring Meeting - San Francisco, CA, United States
Duration: 28 Mar 20051 Apr 2005

Publication series

NameMaterials Research Society Symposium Proceedings
ISSN (Print)0272-9172


Conference2005 MRS Spring Meeting
Country/TerritoryUnited States
CitySan Francisco, CA


Dive into the research topics of 'A stress-dependent hysteresis model for PZT'. Together they form a unique fingerprint.

Cite this