Electromechanical models of ferroelectric materials

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. Derivatio...

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Main Author: Huber, JE
Other Authors: Schröder, J
Format: Book section
Language:English
Published: Springer 2017
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author Huber, JE
author2 Schröder, J
author_facet Schröder, J
Huber, JE
author_sort Huber, JE
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description 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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spelling oxford-uuid:39f2b28d-2b67-4773-a870-32c3317dc4f72022-03-26T13:58:34ZElectromechanical models of ferroelectric materialsBook sectionhttp://purl.org/coar/resource_type/c_1843uuid:39f2b28d-2b67-4773-a870-32c3317dc4f7EnglishSymplectic ElementsSpringer2017Huber, JESchröder, JLupascu, DCModels 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.
spellingShingle Huber, JE
Electromechanical models of ferroelectric materials
title Electromechanical models of ferroelectric materials
title_full Electromechanical models of ferroelectric materials
title_fullStr Electromechanical models of ferroelectric materials
title_full_unstemmed Electromechanical models of ferroelectric materials
title_short Electromechanical models of ferroelectric materials
title_sort electromechanical models of ferroelectric materials
work_keys_str_mv AT huberje electromechanicalmodelsofferroelectricmaterials