A constitutive model for ferroelectric polycrystals

Citation
Je. Huber et al., A constitutive model for ferroelectric polycrystals, J MECH PHYS, 47(8), 1999, pp. 1663-1697
Citations number
37
Language
INGLESE
art.tipo
Article
Categorie Soggetti
Mechanical Engineering
Journal title
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
ISSN journal
0022-5096 → ACNP
Volume
47
Issue
8
Year of publication
1999
Pages
1663 - 1697
Database
ISI
SICI code
0022-5096(199908)47:8<1663:ACMFFP>2.0.ZU;2-I
Abstract
A constitutive model is developed for the non-linear switching of ferroelec tric polycrystals under a combination of mechanical stress and electric fie ld. It is envisaged that the polycrystal consists of a set of bonded crysta ls and that each crystal comprises a set of distinct crystal variants. With in each crystal the switching event, which converts one crystal variant int o another, gives rise to a progressive change in remanent strain and polari sation and to a change in the average linear electromechanical properties. It is further assumed that switching is resisted by the dissipative motion of domain walls. The constitutive model for the progressive switching of ea ch crystal draws upon elastic-plastic crystal plasticity theory, and a pres cription is given for the tangent moduli of the crystal, for any assumed se t of potentially active transformation systems. A self-consistent analysis is used to estimate the macroscopic response of tetragonal crystals (repres entative of lead titanate) under a variety of loading paths. Also, the evol ution of the 'switching surface' in stress-electric field space is calculat ed. Many of the qualitative features of ferroelectric switching, such as bu tterfly hysteresis loops, are predicted by the analysis. (C) 1999 Elsevier Science Ltd. All rights reserved.