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Electromechanical Models of Ferroelectric Materials

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Ferroic Functional Materials

Part of the book series: CISM International Centre for Mechanical Sciences ((CISM,volume 581))

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Abstract

Models of the electromechanical behaviour of ferroelectric materials are reviewed. Starting from the constitutive relationships for piezoelectrics and estimates of the response of piezoelectric composites, the development of models is traced from the macro-scale through to the micro-scale. Derivations of models based on extensions of classical plasticity and crystal plasticity theory are given, following the literature, and example applications of these models are shown. The formation of domain patterns is discussed and minimum energy methods based on the concept of compatibility are used to derive typical domain patterns for tetragonal and rhombohedral ferroelectrics. Methods for modelling the evolution of domain patterns are described. Finally the outlook for future directions in modelling of ferroelectrics is discussed.

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Acknowledgements

Thanks are due to Nien-Ti Tsou for preparing and allowing the use of figures showing domain patterns, as well as for many helpful and informative discussions.

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Authors and Affiliations

  1. Department of Engineering Science, University of Oxford, Parks Rd, Oxford, OX1 3PJ, UK

    J. E. Huber

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  1. J. E. Huber
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Correspondence to J. E. Huber .

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Editors and Affiliations

  1. Institute of Mechanics, University of Duisburg-Essen, Essen, Germany

    Jörg Schröder

  2. Inst for Materials Sci, CENIDE, University of Duisburg-Essen Inst for Materials Sci, CENIDE, Essen, Germany

    Doru C. Lupascu

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Huber, J.E. (2018). Electromechanical Models of Ferroelectric Materials. In: Schröder, J., C. Lupascu, D. (eds) Ferroic Functional Materials. CISM International Centre for Mechanical Sciences, vol 581. Springer, Cham. https://doi.org/10.1007/978-3-319-68883-1_4

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  • DOI: https://doi.org/10.1007/978-3-319-68883-1_4

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  • Online ISBN: 978-3-319-68883-1

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