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  Comparison of phenomenological and laminate-based models for rate-dependent switching in ferroelectric continua

Dusthakar, D. K., Menzel, A., & Svendsen, B. (2015). Comparison of phenomenological and laminate-based models for rate-dependent switching in ferroelectric continua. GAMM-Mitteilungen, 38(1), 147-170. doi:10.1002/gamm.201510008.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0027-A138-A Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0027-A139-8
Genre: Journal Article

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 Creators:
Dusthakar, Dinesh Kumar1, Author              
Menzel, Andreas1, 2, Author              
Svendsen, Bob3, 4, Author              
Affiliations:
1Institute for Mechanics, TU Dortmund, Dortmund, Germany, ou_persistent22              
2Division of Solid Mechanics, Lund University, Lund, Sweden, ou_persistent22              
3Material Mechanics, Faculty of Georesources and Materials Engineering, RWTH Aachen University, Schinkelstraße 2, D-52062 Aachen, Germany, ou_persistent22              
4Microstructure Physics and Alloy Design, Max-Planck-Institut für Eisenforschung GmbH, Max Planck Society, ou_1863381              

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Free keywords: Ferroelectrics;Domain switching;Rate-dependencies;Phenomenological modeling;Laminate-based modeling
 Abstract: The purpose of the current work is the comparison of a phenomenological and a laminate-based model for rate-dependent switching in ferroelectric single crystals. To this end, the phenomenological model formulation of [1] is considered. In this model, the polarization vector is treated as an internal variable. The evolution of the polarization determines the remanent strain; dependence of energy storage on its direction results in generally transverse isotropic material behavior. This is compared here with a laminate-based model in which the volume fractions of ferroelectric variants are treated as internal variables. The evolution of these volume fractions determines in turn the remanent strain and polarization as volume averages of corresponding ferroelectric variant quantities. Besides a comparison of the respective model formulations, the phenomenological and laminate models are compared in the context of numerical simulation examples. It turns out that both modeling frameworks nicely recapture the underlying dissipative and rate-dependent effects, which is represented by means of simulated butterfly curves and hysteresis loops under homogeneous loading conditions as well as by finite element simulations. (© 2015 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

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Language(s): eng - English
 Dates: 2014-09-222014-11-192014-12-022015-03-112015
 Publication Status: Published in print
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: DOI: 10.1002/gamm.201510008
 Degree: -

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Title: GAMM-Mitteilungen
  Abbreviation : GAMM-Mitt.
Source Genre: Journal
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Publ. Info: Weinheim, Germany : WILEY-VCH Verlag GmbH & Co. KGaA
Pages: - Volume / Issue: 38 (1) Sequence Number: - Start / End Page: 147 - 170 Identifier: ISSN: 1522-2608
CoNE: /journals/resource/1522-2608