A dual-phase homogenization theory for the hysteresis and butterfly-shaped behavior of ferroelectric single crystals

N. Srivastava, G. J. Weng

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

Abstract

Based on the mechanism of domain switch and a micromechanics-based thermodynamic approach, a dual-phase homogenization theory is developed to calculate the hysteresis loops of ferroelectric single crystals. Unlike the classical phenomenological theories, this dual-phase model is capable of delivering the evolution of new domain concentration, and it further indicates that the driving force for domain switch under a pure electric field increases linearly with the applied E. The theory is then applied to a BaTiO3 crystal, to examine its hysteresis loop between the electric displacement D vs. the field E, and the butterfly-shaped longitudinal strain ε vs. E. Two types of switching process have been employed for the reversal of ferroelectric domains: a direct 180° switch for the D vs. E, and a two-consecutive 90° switch for the ε vs. E as well as for the D vs. E. The second process enables one to bring about the sharp tails of the butterfly in the ε vs. E curve that otherwise could not be done by the direct 180° switch. Comparisons with the experimental data of a BaTiO3 crystal also indicate a reasonable agreement.

Original languageEnglish (US)
Pages (from-to)945-957
Number of pages13
JournalMechanics of Materials
Volume38
Issue number8-10
DOIs
StatePublished - Aug 2006

All Science Journal Classification (ASJC) codes

  • Materials Science(all)
  • Instrumentation
  • Mechanics of Materials

Keywords

  • Domain switch
  • Dual-phase theory
  • Ferroelectric crystals
  • Hysteresis behavior
  • Irreversible thermodynamics
  • Micromechanics

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