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A hybrid phenomenological model for ferroelectroelastic ceramics. Part I: Single phased materials

: Stark, Sebastian; Neumeister, Peter; Balke, Herbert


Journal of the Mechanics and Physics of Solids 95 (2016), pp.774-804
ISSN: 0022-5096
Journal Article
Fraunhofer IKTS ()
barium compounds; crystal microstructure; ferroelasticity

In this paper, a rate-independent hybrid phenomenological constitutive model for polycrystalline ferroelectroelastic ceramics is presented. The term “hybrid” refers to the fact that features from macroscopic phenomenological models and micro-electromechanical phenomenological models are combined. In particular, functional forms for a switching function and the Helmholtz free energy are assumed as in many macroscopic phenomenological models; and the volume fractions of domain variants are used to describe the internal material state, which is a key feature of micro-electromechanical phenomenological models. The approach described in this paper is an attempt to combine the advantages of macroscopic and micro-electromechanical material models. Its potential is demonstrated by comparison with experimental data.